108
Views
232
CrossRef citations to date
0
Altmetric
Theoretical Paper

Linear programming with interval coefficients

&
Pages 209-220 | Received 01 Jan 1998, Accepted 01 Oct 1999, Published online: 21 Dec 2017

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (13)

Mridul Patel, Jyotirmayee Behera & Pankaj Kumar. (2023) Parametric approach for multi-objective enhanced interval linear fractional programming problem. Engineering Optimization 0:0, pages 1-26.
Read now
Jinhua Huang, Cong Wang & Haohao Li. (2021) EA solutions and EA solvability to general interval linear systems. Linear and Multilinear Algebra 69:15, pages 2865-2881.
Read now
Walid Abdelfattah. (2021) A parametric approach to solve neutrosophic linear programming models. Journal of Information and Optimization Sciences 42:3, pages 631-654.
Read now
Nam Van Tran & Imme van den Berg. (2020) A parameter method for linear algebra and optimization with uncertainties. Optimization 69:1, pages 21-61.
Read now
Carla Oliveira Henriques & Maria Elisabete Duarte Neves. (2019) A multiobjective interval portfolio framework for supporting investor’s preferences under different risk assumptions. Journal of the Operational Research Society 70:10, pages 1639-1661.
Read now
Yaser Damchi, Javad Sadeh & Habib Rajabi Mashhadi. (2016) Applying Hybrid Interval Linear Programming and Genetic Algorithm to Coordinate Distance and Directional Over-current Relays. Electric Power Components and Systems 44:17, pages 1935-1946.
Read now
Xiaoning Xu, Feng He, Rong Chen & Qingzhi Zhang. (2015) Solving non-linear portfolio optimization problems with interval analysis. Journal of the Operational Research Society 66:6, pages 885-893.
Read now
Wei Li, Xiao Liu & Haohao Li. (2015) Generalized solutions to interval linear programmes and related necessary and sufficient optimality conditions. Optimization Methods and Software 30:3, pages 516-530.
Read now
Vincent F. Yu, Kuo-Jen Hu & An-Yuan Chang. (2015) An interactive approach for the multi-objective transportation problem with interval parameters. International Journal of Production Research 53:4, pages 1051-1064.
Read now
W Peng & R V Mayorga. (2013) An interval-coefficient fuzzy binary linear programming, the solution, and its application under uncertainties. Journal of the Operational Research Society 64:10, pages 1557-1569.
Read now
V Gabrel & C Murat. (2010) Robustness and duality in linear programming. Journal of the Operational Research Society 61:8, pages 1288-1296.
Read now
A O Kazakçi, S Rozakis & D Vanderpooten. (2007) Energy crop supply in France: a min-max regret approach. Journal of the Operational Research Society 58:11, pages 1470-1479.
Read now
J Aznar & F Guijarro. (2007) Modelling aesthetic variables in the valuation of paintings: an interval goal programming approach. Journal of the Operational Research Society 58:7, pages 957-963.
Read now

Articles from other publishers (219)

B.R.B. Sahu, A.K. Bhurjee & P. Kumar. (2024) Efficient solutions for vector optimization problem on an extended interval vector space and its application to portfolio optimization. Expert Systems with Applications 249, pages 123653.
Crossref
Xunhu Yin, Chengjin Ye, Yi Ding, Yonghua Song & Lei Wang. (2024) Combined Heat and Power Dispatch Against Cold Waves Utilizing Responsive Internet Data Centers. IEEE Transactions on Sustainable Energy 15:2, pages 819-834.
Crossref
Priyanka Roy, Geetanjali Panda & Dong Qiu. (2024) Gradient-based descent linesearch to solve interval-valued optimization problems under gH-differentiability with application to finance. Journal of Computational and Applied Mathematics 436, pages 115402.
Crossref
Mengxue Xia, Haohao Li & Daojun Xu. (2023) Checking weak and strong optimality of the solution to interval convex quadratic programming in a general form. Optimization Letters 18:1, pages 339-364.
Crossref
Mohsen Mohammadi, Monica Gentili, Milan Hladík & Raffaele Cerulli. (2023) Quantifying Outcome Functions of Linear Programs: An Approach Based on Interval-Valued Right-Hand Sides. Journal of Optimization Theory and Applications 199:3, pages 955-992.
Crossref
M.C. Gouveia, C.O. Henriques & L.C. Dias. (2023) Eco-efficiency changes of the electricity and gas sectors across 28 European countries: A value-based data envelopment analysis productivity approach. Socio-Economic Planning Sciences 87, pages 101609.
Crossref
Mohsen Rajabzadeh & Seyed Meysam Mousavi. (2023) Allocation of products to a heterogeneous fleet of trucks in a cross-docking center based on carbon emissions and costs in food and beverage industry: Novel uncertain solution approaches. Journal of Environmental Management 332, pages 117071.
Crossref
Siyuan Wang, Guangchao Geng, Quanyuan Jiang & Rui Bo. (2023) Generation Expansion Planning Considering Discrete Storage Model and Renewable Energy Uncertainty: A Bi-Interval Optimization Approach. IEEE Transactions on Industrial Informatics 19:3, pages 2973-2983.
Crossref
G. Ramesh & N. Mathavan. A new approach to finding the best solution for the problem of multi-objective interval transportation. A new approach to finding the best solution for the problem of multi-objective interval transportation.
Mohsen Mohammadi & Monica Gentili. 2020. Encyclopedia of Optimization. Encyclopedia of Optimization 1 13 .
Mohsen Mohammadi, Milan Hladík & Monica Gentili. 2020. Encyclopedia of Optimization. Encyclopedia of Optimization 1 11 .
Saeid Jafari & Ketan Savla. (2022) A decentralized feedback approach for flow control in highway traffic networks. Automatica 146, pages 110661.
Crossref
Deepika Arya & Santanu Bandyopadhyay. (2022) Uncertainties in the resource conservation problems: a review. Clean Technologies and Environmental Policy 24:9, pages 2681-2699.
Crossref
Charity Nyelele, Charles N. Kroll & David J. Nowak. (2022) A comparison of tree planting prioritization frameworks: i-Tree Landscape versus spatial decision support tool. Urban Forestry & Urban Greening 75, pages 127703.
Crossref
Amit Kumar Debnath & Debdas Ghosh. (2022) Generalized-Hukuhara penalty method for optimization problem with interval-valued functions and its application in interval-valued portfolio optimization problems. Operations Research Letters 50:5, pages 602-609.
Crossref
Alina Baboş. (2022) Linear Programming with Interval Coefficients. International conference KNOWLEDGE-BASED ORGANIZATION 28:3, pages 6-11.
Crossref
Claudia Prieto-Latorre, Luis Alejandro Lopez-Agudo, Mariano Luque & Oscar David Marcenaro-Gutierrez. (2022) The ideal use of the internet and academic success: Finding a balance between competences and knowledge using interval multiobjective programming. Socio-Economic Planning Sciences 81, pages 101208.
Crossref
María Ladrón de Guevara Rodríguez, Luis Alejandro Lopez-Agudo, Claudia Prieto-Latorre & Oscar David Marcenaro-Gutierrez. (2022) Internet use and academic performance: An interval approach. Education and Information Technologies.
Crossref
S. González‐Gallardo, C.O. Henriques, O.D. Marcenaro‐Gutierrez & M. Luque. (2021) A novel approach for exploring the trade‐offs between several features of students’ well‐being. International Transactions in Operational Research 29:3, pages 1723-1748.
Crossref
Zhiping Qiu & Haijun Xia. (2022) A novel interval linear programming based on probabilistic dominance. Fuzzy Sets and Systems 434, pages 20-47.
Crossref
Debdas Ghosh, Amit Kumar Debnath, Ram Surat Chauhan & Oscar Castillo. (2021) Generalized-Hukuhara-Gradient Efficient-Direction Method to Solve Optimization Problems with Interval-Valued Functions and Its Application in Least-Squares Problems. International Journal of Fuzzy Systems 24:3, pages 1275-1300.
Crossref
Carla Oliveira Henriques, Dulce Helena Coelho & Maria Elisabete Duarte Neves. (2020) Investment planning in energy efficiency programs: a portfolio based approach. Operational Research 22:1, pages 615-649.
Crossref
Aakanksha Singh, Ritu Arora & Shalini Arora. (2022) Bilevel transportation problem in neutrosophic environment. Computational and Applied Mathematics 41:1.
Crossref
Hussein El Hajj, Douglas R. Bish & Ebru K. Bish. (2022) Optimal Genetic Screening for Cystic Fibrosis. Operations Research 70:1, pages 265-287.
Crossref
Rabab Beirkdar & G. Ramesh. A new approach for finding an optimal solution of assignment problems in complete interval. A new approach for finding an optimal solution of assignment problems in complete interval.
Juan Carlos Figueroa–García, Germán Hernández & Carlos Franco. (2022) A review on history, trends and perspectives of fuzzy linear programming. Operations Research Perspectives 9, pages 100247.
Crossref
Mehdi Allahdadi & Aida Batamiz. (2021) Generation of some methods for solving interval multi-objective linear programming models. OPSEARCH 58:4, pages 1077-1115.
Crossref
Francesco Carrabs, Raffaele Cerulli, Ciriaco D’Ambrosio, Federico Della Croce & Monica Gentili. (2021) An improved heuristic approach for the interval immune transportation problem. Omega 104, pages 102492.
Crossref
Sandra González-Gallardo, Ana B. Ruiz & Mariano Luque. (2021) Analysis of the Well-Being Levels of Students in Spain and Finland through Interval Multiobjective Linear Programming. Mathematics 9:14, pages 1628.
Crossref
El-Saeed Ammar & Abdusalam Emsimir. (2020) A mathematical model for solving fuzzy integer linear programming problems with fully rough intervals. Granular Computing 6:3, pages 567-578.
Crossref
Carla Henriques & Elisabete Neves. (2021) Exploring the trade-off between liquidity, risk and return under sectoral diversification across distinct economic settings. The Journal of Risk Finance 22:2, pages 130-152.
Crossref
Meng-xue Xia, Miao-miao Li, Ben Zhang & Hao-hao Li. (2021) Checking weak and strong optimality of the solution to interval convex quadratic program. Applied Mathematics-A Journal of Chinese Universities 36:2, pages 172-186.
Crossref
Mohsen Mohammadi & Monica Gentili. (2021) The outcome range problem in interval linear programming. Computers & Operations Research 129, pages 105160.
Crossref
P. Kumar & A. K. Bhurjee. (2021) An efficient solution of nonlinear enhanced interval optimization problems and its application to portfolio optimization. Soft Computing 25:7, pages 5423-5436.
Crossref
Mashor Housh & Tomer Aharon. (2021) Info-Gap Models for Optimal Multi-Year Management of Regional Water Resources Systems under Uncertainty. Sustainability 13:6, pages 3152.
Crossref
G. Sudha & K. Ganesan. (2021) A solution approach to time variant multi-objective interval transportation problems in material aspects. Materials Today: Proceedings.
Crossref
Tadeusz Antczak. (2021) The $ F $-objective function method for differentiable interval-valued vector optimization problems. Journal of Industrial & Management Optimization 17:5, pages 2761.
Crossref
Herry Suprajitno & Ismail bin Mohd. Transformation method for solving interval linear programming problem. Transformation method for solving interval linear programming problem.
Priyanka Roy & Geetanjali Panda. (2021) Existence of solution of constrained interval optimization problems with regularity concept. RAIRO - Operations Research 55, pages S1997-S2011.
Crossref
Zhiping Qiu, Han Wu, Isaac Elishakoff & Dongliang Liu. (2021) Data-based polyhedron model for optimization of engineering structures involving uncertainties. Data-Centric Engineering 2.
Crossref
C. O. Henriques, L. A. Lopez-Agudo, O. D. Marcenaro-Gutierrez & M. Luque. (2020) Reaching Compromises in Workers’ Life Satisfaction: A Multiobjective Interval Programming Approach. Journal of Happiness Studies 22:1, pages 207-239.
Crossref
Anuradha Sahoo & Arati Nath. 2021. New Trends in Applied Analysis and Computational Mathematics. New Trends in Applied Analysis and Computational Mathematics 167 190 .
Elif Garajová, Miroslav Rada & Milan Hladík. 2021. Optimization and Decision Science. Optimization and Decision Science 3 13 .
Amine Hocine & Noureddine Kouaissah. (2020) XOR analytic hierarchy process and its application in the renewable energy sector. Omega 97, pages 102082.
Crossref
Sharmistha Halder Jana & Biswapati Jana. (2020) Application of random triangular and Gaussian type-2 fuzzy variable to solve fixed charge multi-item four dimensional transportation problem. Applied Soft Computing 96, pages 106589.
Crossref
Dongfeng Yang, Chao Jiang, Guowei Cai, Deyou Yang & Xiaojun Liu. (2020) Interval method based optimal planning of multi-energy microgrid with uncertain renewable generation and demand. Applied Energy 277, pages 115491.
Crossref
M. A. Elsisy, D. A. Hammad & M. A. El-Shorbagy. (2020) Solving Interval Quadratic Programming Problems by Using the Numerical Method and Swarm Algorithms. Complexity 2020, pages 1-11.
Crossref
C.O. Henriques, O.D. Marcenaro-Gutierrez & Luis Alejandro Lopez-Agudo. (2020) Getting a balance in the life satisfaction determinants of full-time and part-time European workers. Economic Analysis and Policy 67, pages 87-113.
Crossref
H. Mishmast Nehi, H. A. Ashayerinasab & M. Allahdadi. (2018) Solving methods for interval linear programming problem: a review and an improved method. Operational Research 20:3, pages 1205-1229.
Crossref
Amin Mostafaee & Milan Hladík. (2019) Optimal value bounds in interval fractional linear programming and revenue efficiency measuring. Central European Journal of Operations Research 28:3, pages 963-981.
Crossref
Santanu Bandyopadhyay. (2020) Interval Pinch Analysis for Resource Conservation Networks with Epistemic Uncertainties. Industrial & Engineering Chemistry Research 59:30, pages 13669-13681.
Crossref
Sukhendu Bera, Pravash Kumar Giri, Dipak Kumar Jana, Kajla Basu & Manoranjan Maiti. (2020) Fixed charge 4D-TP for a breakable item under hybrid random type-2 uncertain environments. Information Sciences 527, pages 128-158.
Crossref
Kemal Subulan. (2020) An interval-stochastic programming based approach for a fully uncertain multi-objective and multi-mode resource investment project scheduling problem with an application to ERP project implementation. Expert Systems with Applications 149, pages 113189.
Crossref
Farhad Fallahi & Pouria Maghouli. (2020) Integrated unit commitment and natural gas network operational planning under renewable generation uncertainty. International Journal of Electrical Power & Energy Systems 117, pages 105647.
Crossref
Guk-Hyun Moon, Rakkyung Ko & Sung-Kwan Joo. (2020) Integration of Smart Grid Resources into Generation and Transmission Planning Using an Interval-Stochastic Model. Energies 13:7, pages 1843.
Crossref
Kemal SUBULAN. (2020) Çok amaçlı kurumsal kaynak planlaması uyarlama projelerinin insan kaynağı kısıtı ve belirsizlik altında çizelgelenmesi. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 35:3, pages 1469-1486.
Crossref
Aida Batamiz, Mehdi Allahdadi & Milan Hladík. (2020) Obtaining Efficient Solutions of Interval Multi-objective Linear Programming Problems. International Journal of Fuzzy Systems 22:3, pages 873-890.
Crossref
Benjamin Pillot, Nadeem Al-Kurdi, Carmen Gervet & Laurent Linguet. (2020) An integrated GIS and robust optimization framework for solar PV plant planning scenarios at utility scale. Applied Energy 260, pages 114257.
Crossref
Jana Novotná, Milan Hladík & Tomáš Masařík. (2019) Duality Gap in Interval Linear Programming. Journal of Optimization Theory and Applications 184:2, pages 565-580.
Crossref
Dario Bertocchi, Nicola Camatti, Silvio Giove & Jan van der Borg. (2020) Venice and Overtourism: Simulating Sustainable Development Scenarios through a Tourism Carrying Capacity Model. Sustainability 12:2, pages 512.
Crossref
G. Sudha & K. Ganesan. A new algorithm for fully interval integer transportation problem. A new algorithm for fully interval integer transportation problem.
Pankaj Kumar. Multi-objective interval linear programming problem with the bounded solution. Multi-objective interval linear programming problem with the bounded solution.
Sharmistha Halder (Jana)Debasis Giri, Barun Das, Goutam Panigrahi & Manoranjan Maiti. 2020. Recent Advances in Intelligent Information Systems and Applied Mathematics. Recent Advances in Intelligent Information Systems and Applied Mathematics 855 872 .
Mohsen Mohammadi & Monica Gentili. (2018) Bounds on the worst optimal value in interval linear programming. Soft Computing 23:21, pages 11055-11061.
Crossref
Vladimir Simic. (2019) Interval-Parameter Conditional Value-at-Risk Two-Stage Stochastic Programming Model for Management of End-of-Life Vehicles. Environmental Modeling & Assessment 24:5, pages 547-567.
Crossref
Chunming Fu & Lixiong Cao. (2019) An uncertain optimization method based on interval differential evolution and adaptive subinterval decomposition analysis. Advances in Engineering Software 134, pages 1-9.
Crossref
Saeid Jafari & Ketan Savla. (2019) On Structural Properties of Optimal Feedback Control of Traffic Flow under the Cell Transmission Model. On Structural Properties of Optimal Feedback Control of Traffic Flow under the Cell Transmission Model.
C.O. Henriques, M. Luque, O.D. Marcenaro-Gutierrez & L.A. Lopez-Agudo. (2019) A multiobjective interval programming model to explore the trade-offs among different aspects of job satisfaction under different scenarios. Socio-Economic Planning Sciences 66, pages 35-46.
Crossref
Miroslav Rada, Milan Hladík & Elif Garajová. (2018) Testing weak optimality of a given solution in interval linear programming revisited: NP-hardness proof, algorithm and some polynomially-solvable cases. Optimization Letters 13:4, pages 875-890.
Crossref
Zeljko N. Popovic, Stanko D. Knezevic & Vojin Dj. Kerleta. (2019) Network automation planning in distribution networks with distributed generators using a risk-based approach. Electrical Engineering 101:2, pages 659-673.
Crossref
Chunming Fu, Yongxia Liu & Zhang Xiao. (2019) Interval differential evolution with dimension-reduction interval analysis method for uncertain optimization problems. Applied Mathematical Modelling 69, pages 441-452.
Crossref
Elif Garajová & Milan Hladík. (2018) Checking weak optimality and strong boundedness in interval linear programming. Soft Computing 23:9, pages 2937-2945.
Crossref
Hossein Nezamabadi & Vahid Vahidinasab. (2019) Market bidding strategy of the microgrids considering demand response and energy storage potential flexibilities. IET Generation, Transmission & Distribution 13:8, pages 1346-1357.
Crossref
Sharmistha Halder Jana, Biswapati Jana, Barun Das, Goutam Panigrahi & Manoranjan Maiti. (2019) Constrained FC 4D MITPs for Damageable Substitutable and Complementary Items in Rough Environments. Mathematics 7:3, pages 281.
Crossref
Jianjian Wang, Feng He & Xin Shi. (2019) Numerical solution of a general interval quadratic programming model for portfolio selection. PLOS ONE 14:3, pages e0212913.
Crossref
Stelios G. VrachimisStelios TimotheouDemetrios G. EliadesMarios M. Polycarpou. (2019) Iterative Hydraulic Interval State Estimation for Water Distribution Networks. Journal of Water Resources Planning and Management 145:1.
Crossref
Pengwei CHEN, Xiangning XIAO & Xuhui WANG. (2018) Interval optimal power flow applied to distribution networks under uncertainty of loads and renewable resources. Journal of Modern Power Systems and Clean Energy 7:1, pages 139-150.
Crossref
S. K. Bharati & S. R. Singh. (2018) Solution of multiobjective linear programming problems in interval-valued intuitionistic fuzzy environment. Soft Computing 23:1, pages 77-84.
Crossref
Nadeem Al-Kurdi, Benjamin Pillot, Carmen Gervet & Laurent Linguet. 2019. Principles and Practice of Constraint Programming. Principles and Practice of Constraint Programming 729 747 .
S. A. MirHassani & F. HooshmandS. A. MirHassani & F. Hooshmand. 2019. Methods and Models in Mathematical Programming. Methods and Models in Mathematical Programming 13 66 .
W. van Ackooij, I. Danti Lopez, A. Frangioni, F. Lacalandra & M. Tahanan. (2018) Large-scale unit commitment under uncertainty: an updated literature survey. Annals of Operations Research 271:1, pages 11-85.
Crossref
Lei Jin, Haiyan Fu, Younggy Kim, Li Wang, Huiyan Cheng & Guohe Huang. (2018) The α-Representation Inexact T2 Fuzzy Sets Programming Model for Water Resources Management of the Southern Min River Basin under Uncertainty. Symmetry 10:11, pages 579.
Crossref
Yuewen Jiang, Meisen Chen & Buying Wen. (2018) Interval optimization of the day-ahead clearing schedule considering the real-time imbalance power with wind power integration. International Transactions on Electrical Energy Systems 28:10, pages e2610.
Crossref
S. Rivaz & M.A. Yaghoobi. (2015) Weighted sum of maximum regrets in an interval MOLP problem. International Transactions in Operational Research 25:5, pages 1659-1676.
Crossref
Cong Zhang, Haoyong Chen, Zipeng Liang, Manlan Guo, Dong Hua & Honwing Ngan. (2018) Reactive Power Optimization Under Interval Uncertainty by the Linear Approximation Method and Its Modified Method. IEEE Transactions on Smart Grid 9:5, pages 4587-4600.
Crossref
Syaripuddin, Herry Suprajitno & Fatmawati. (2018) Solution of Quadratic Programming with Interval Variables Using a Two-Level Programming Approach. Journal of Applied Mathematics 2018, pages 1-7.
Crossref
Amin Mahmoudi, Mohammad Reza Feylizadeh, Davood Darvishi & Sifeng Liu. (2018) Grey-fuzzy solution for multi-objective linear programming with interval coefficients. Grey Systems: Theory and Application 8:3, pages 312-327.
Crossref
Sujit Kumar De & Shib Sankar Sana. (2018) Two-layer supply chain model for Cauchy-type stochastic demand under fuzzy environment. International Journal of Intelligent Computing and Cybernetics 11:2, pages 285-308.
Crossref
Ghasem Safari, Ashkan Hafezalkotob & Mohammad Khalilzadeh. (2018) A Nash bargaining model for flow shop scheduling problem under uncertainty: a case study from tire manufacturing in Iran. The International Journal of Advanced Manufacturing Technology 96:1-4, pages 531-546.
Crossref
Li Wang & Lei Jin. (2018) Robust linear programming with IT2 rough coefficients. Journal of Intelligent & Fuzzy Systems 34:3, pages 1995-2001.
Crossref
Guanhui Cheng, Guohe Huang, Cong Dong, Ying Lv, Junlong Zhang, Yao Yao & Xiujuan Chen. (2017) Resources and environmental systems management under synchronic interval uncertainties. Stochastic Environmental Research and Risk Assessment 32:2, pages 435-456.
Crossref
Ying Wang, Zhi Zhou, Audun Botterud & Kaifeng Zhang. (2018) Optimal Wind Power Uncertainty Intervals for Electricity Market Operation. IEEE Transactions on Sustainable Energy 9:1, pages 199-210.
Crossref
E R Wulan, M A Ramdhani & Indriani. (2018) Determine the Optimal Solution for Linear Programming with Interval Coefficients. IOP Conference Series: Materials Science and Engineering 288, pages 012061.
Crossref
A. Akilbasha, P. Pandian & G. Natarajan. (2018) An innovative exact method for solving fully interval integer transportation problems. Informatics in Medicine Unlocked 11, pages 95-99.
Crossref
Vladimir Simic & Svetlana Dabic-Ostojic. (2017) Interval-parameter chance-constrained programming model for uncertainty-based decision making in tire retreading industry. Journal of Cleaner Production 167, pages 1490-1498.
Crossref
Vladimir Simić, Svetlana Dabić-Ostojić & Nebojša Bojović. (2017) Interval-parameter semi-infinite programming model for used tire management and planning under uncertainty. Computers & Industrial Engineering 113, pages 487-501.
Crossref
Bisheng Xia, Xin Qian & Hong Yao. (2017) An improved risk-explicit interval linear programming model for pollution load allocation for watershed management. Environmental Science and Pollution Research 24:32, pages 25126-25136.
Crossref
Yifan ZhouWei HuYong MinXialing XuYong Li. (2017) Modeling and Optimization of Multitype Power Sources Stochastic Unit Commitment Using Interval Number Programming. Journal of Energy Engineering 143:5.
Crossref
Amrit Das, Uttam Kumar Bera & Manoranjan Maiti. (2017) A Profit Maximizing Solid Transportation Model Under a Rough Interval Approach. IEEE Transactions on Fuzzy Systems 25:3, pages 485-498.
Crossref
Qiaozhu Zhai, Xuan Li, Xuejiao Lei & Xiaohong Guan. (2017) Transmission Constrained UC With Wind Power: An All-Scenario-Feasible MILP Formulation With Strong Nonanticipativity. IEEE Transactions on Power Systems 32:3, pages 1805-1817.
Crossref
Meysam Doostizadeh, Farrokh Aminifar & Hamid Lesani. (2017) Coordinated multi-area energy and regulation joint dispatch under wind power uncertainty. Journal of Renewable and Sustainable Energy 9:2.
Crossref
Danielle Zyngier. (2016) An uncertainty management framework for industrial applications. Optimization and Engineering 18:1, pages 179-202.
Crossref
Syaripuddin, Herry Suprajitno & Fatmawati. (2017) Extension of Wolfe Method for Solving Quadratic Programming with Interval Coefficients. Journal of Applied Mathematics 2017, pages 1-6.
Crossref
C. YangS. TangaramvongF. Tin-LoiW. Gao. (2017) Influence of Interval Uncertainty on the Behavior of Geometrically Nonlinear Elastoplastic Structures. Journal of Structural Engineering 143:1.
Crossref
Guanhui Cheng, Guohe Huang & Cong Dong. (2015) Convex contractive interval linear programming for resources and environmental systems management. Stochastic Environmental Research and Risk Assessment 31:1, pages 205-224.
Crossref
M. Allahdadi & A. Khaje Golestane. (2015) Monte Carlo Simulation for Computing the Worst Value of the Objective Function in the Interval Linear Programming. International Journal of Applied and Computational Mathematics 2:4, pages 509-518.
Crossref
Wei Li, Jianghong Jin, Mengxue Xia, Haohao Li & Qi Luo. (2016) Some properties of the lower bound of optimal values in interval convex quadratic programming. Optimization Letters.
Crossref
Boran Zhou, Guangchao Geng & Quanyuan Jiang. (2016) Hydro-Thermal-Wind Coordination in Day-Ahead Unit Commitment . IEEE Transactions on Power Systems 31:6, pages 4626-4637.
Crossref
Cong Zhang, Haoyong Chen, Manlan Guo, Jia Lei, Hailin Ge & Chulin Wan. (2016) A mixed interval power flow analysis based on affine arithmetic. A mixed interval power flow analysis based on affine arithmetic.
Marcos Roberto Bombacini & Ademir Alves Ribeiro. (2016) DESIGNAÇÃO ROBUSTA DE GERADORES COM RESTRIÇÕES DE SEGURANÇA PARA GERAÇÃO VOLÁTIL DE ENERGIA EÓLICA. DESIGNAÇÃO ROBUSTA DE GERADORES COM RESTRIÇÕES DE SEGURANÇA PARA GERAÇÃO VOLÁTIL DE ENERGIA EÓLICA.
Wei Li, Mengxue Xia & Haohao Li. (2016) Some results on the upper bound of optimal values in interval convex quadratic programming. Journal of Computational and Applied Mathematics 302, pages 38-49.
Crossref
Hasan Dalman, Nuran Güzel & Mustafa Sivri. (2015) A Fuzzy Set-Based Approach to Multi-objective Multi-item Solid Transportation Problem Under Uncertainty. International Journal of Fuzzy Systems 18:4, pages 716-729.
Crossref
Vladimir Simic. (2016) Interval-parameter chance-constraint programming model for end-of-life vehicles management under rigorous environmental regulations. Waste Management 52, pages 180-192.
Crossref
Mingzhi Chen, Sheng-Guo Wang, Paul P. Wang & Xiaoxiang Ye. (2015) A new equivalent transformation for interval inequality constraints of interval linear programming. Fuzzy Optimization and Decision Making 15:2, pages 155-175.
Crossref
Hecheng Li & Zhicang Wang. (2016) An Evolutionary Algorithm Using Parameter Space Searching for Interval Linear Fractional Bilevel Programming Problems. International Journal of Pattern Recognition and Artificial Intelligence 30:04, pages 1659011.
Crossref
Y. Z. Li, Q. H. Wu, L. Jiang, J. B. Yang & D. L. Xu. (2016) Optimal Power System Dispatch With Wind Power Integrated Using Nonlinear Interval Optimization and Evidential Reasoning Approach. IEEE Transactions on Power Systems 31:3, pages 2246-2254.
Crossref
Hawthorne L. Beyer, Yann Dujardin, Matthew E. Watts & Hugh P. Possingham. (2016) Solving conservation planning problems with integer linear programming. Ecological Modelling 328, pages 14-22.
Crossref
Mehdi Allahdadi, Hasan Mishmast Nehi, Hasan Ali Ashayerinasab & Moslem Javanmard. (2016) Improving the modified interval linear programming method by new techniques. Information Sciences 339, pages 224-236.
Crossref
Meysam Doostizadeh, Farrokh Aminifar, Hamid Lesani & Hassan Ghasemi. (2016) Multi-area market clearing in wind-integrated interconnected power systems: A fast parallel decentralized method. Energy Conversion and Management 113, pages 131-142.
Crossref
Vladimir Simic. (2016) A multi-stage interval-stochastic programming model for planning end-of-life vehicles allocation. Journal of Cleaner Production 115, pages 366-381.
Crossref
Yaowen Yu, Peter B. Luh, Eugene Litvinov, Tongxin Zheng, Jinye Zhao, Feng Zhao & Dane A. Schiro. (2016) Transmission Contingency-Constrained Unit Commitment with High Penetration of Renewables via Interval Optimization. IEEE Transactions on Power Systems, pages 1-1.
Crossref
Cong Zhang, Haoyong Chen, Honwing Ngan, Ping Yang & Dong Hua. (2016) A Mixed Interval Power Flow Analysis under Rectangular and Polar Coordinate System. IEEE Transactions on Power Systems, pages 1-1.
Crossref
Boran Zhou, Guangchao Geng & Quanyuan Jiang. (2016) Hierarchical Unit Commitment With Uncertain Wind Power Generation. IEEE Transactions on Power Systems 31:1, pages 94-104.
Crossref
Amin Mostafaee, Milan Hladík & Michal Černý. (2016) Inverse linear programming with interval coefficients. Journal of Computational and Applied Mathematics 292, pages 591-608.
Crossref
Wei Li, Pengzhen Liu & Haohao Li. (2015) Checking weak optimality of the solution to interval linear program in the general form. Optimization Letters 10:1, pages 77-88.
Crossref
Gaiqiang Yang, Ping Guo, Mo Li, Shiqi Fang & Liudong Zhang. (2015) An Improved Solving Approach for Interval-Parameter Programming and Application to an Optimal Allocation of Irrigation Water Problem. Water Resources Management 30:2, pages 701-729.
Crossref
S. Tangaramvong, F. Tin-Loi, C. M. Song & W. Gao. (2015) Interval Limit Analysis Within a Scaled Boundary Element Framework. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part B: Mechanical Engineering 1:4.
Crossref
Sawekchai TangaramvongDi WuWei GaoFrancis Tin-Loi. (2015) Response Bounds of Elastic Structures in the Presence of Interval Uncertainties. Journal of Structural Engineering 141:12.
Crossref
Guanhui Cheng, Guohe (Gordon) Huang & Cong Dong. (2015) Synchronic interval Gaussian mixed-integer programming for air quality management. Science of The Total Environment 538, pages 986-996.
Crossref
Yaowen Yu, Peter B. Luh, Eugene Litvinov, Tongxin Zheng, Jinye Zhao & Feng Zhao. (2015) Grid Integration of Distributed Wind Generation: Hybrid Markovian and Interval Unit Commitment. IEEE Transactions on Smart Grid 6:6, pages 3061-3072.
Crossref
Haohao Li. (2015) Necessary and sufficient conditions for unified optimality of interval linear program in the general form. Linear Algebra and its Applications 484, pages 154-174.
Crossref
Seyed Hossein Razavi Hajiagha, Shide Sadat Hashemi, Hannan Amoozad Mahdiraji & Jamshid Azaddel. (2015) Multi-period data envelopment analysis based on Chebyshev inequality bounds. Expert Systems with Applications 42:21, pages 7759-7767.
Crossref
Wei Li, Mengxue Xia & Haohao Li. (2015) New method for computing the upper bound of optimal value in interval quadratic program. Journal of Computational and Applied Mathematics 288, pages 70-80.
Crossref
Renato Crouzeilles, Hawthorne L. Beyer, Morena Mills, Carlos E. V. Grelle & Hugh P. Possingham. (2015) Incorporating habitat availability into systematic planning for restoration: a species‐specific approach for Atlantic Forest mammals. Diversity and Distributions 21:9, pages 1027-1037.
Crossref
H. A. Ashayerinasab, H. Mishmast Nehi & M. Allahdadi. (2015) Overview of solution methods for solving interval linear programming and new method. Overview of solution methods for solving interval linear programming and new method.
Yaowen Yu, Peter B. Luh, Eugene Litvinov, Tongxin Zheng, Jinye Zhao & Feng Zhao. (2015) Transmission contingency-constrained unit commitment with uncertain wind generation via interval optimization. Transmission contingency-constrained unit commitment with uncertain wind generation via interval optimization.
Milad Tahanan, Wim van Ackooij, Antonio Frangioni & Fabrizio Lacalandra. (2015) Large-scale Unit Commitment under uncertainty. 4OR 13:2, pages 115-171.
Crossref
C. Yang, S. Tangaramvong, W. Gao & F. Tin-Loi. (2015) Interval elastoplastic analysis of structures. Computers & Structures 151, pages 1-10.
Crossref
Anurag Jayswal, Ioan Stancu-Minasian, Jonaki Banerjee & Andreea Madalina Stancu. (2015) Sufficiency and duality for optimization problems involving interval-valued invex functions in parametric form. Operational Research 15:1, pages 137-161.
Crossref
Yury Dvorkin, Hrvoje Pandzic, Miguel A. Ortega-Vazquez & Daniel S. Kirschen. (2015) A Hybrid Stochastic/Interval Approach to Transmission-Constrained Unit Commitment. IEEE Transactions on Power Systems 30:2, pages 621-631.
Crossref
H. Mishmast Nehi & F. Hamidi. (2015) Upper and lower bounds for the optimal values of the interval bilevel linear programming problem. Applied Mathematical Modelling 39:5-6, pages 1650-1664.
Crossref
S. Rivaz & M. A. Yaghoobi. (2013) Some results in interval multiobjective linear programming for recognizing different solutions. OPSEARCH 52:1, pages 75-85.
Crossref
Ni‐Bin Chang & Ana Pires. 2015. Sustainable Solid Waste Management. Sustainable Solid Waste Management 829 847 .
Vladimir Simic & Branka Dimitrijevic. (2015) Interval linear programming model for long-term planning of vehicle recycling in the Republic of Serbia under uncertainty. Waste Management & Research: The Journal for a Sustainable Circular Economy 33:2, pages 114-129.
Crossref
晓芳 郭. (2015) A Genetic Algorithm for a Class of Fractional Bilevel Programming Problems with Interval Coefficients. Advances in Applied Mathematics 04:01, pages 63-69.
Crossref
Sawekchai TangaramvongDi WuWei Gao. (2015) Interval Limit Analysis of Rigid Perfectly Plastic Structures. Journal of Engineering Mechanics 141:1.
Crossref
Vladimir Simic. (2015) Fuzzy risk explicit interval linear programming model for end-of-life vehicle recycling planning in the EU. Waste Management 35, pages 265-282.
Crossref
C. Gervet & S. Galichet. 2015. Integration of AI and OR Techniques in Constraint Programming. Integration of AI and OR Techniques in Constraint Programming 173 181 .
Duy Minh Do, Wei Gao, Chongmin Song & Sawekchai Tangaramvong. (2014) Dynamic analysis and reliability assessment of structures with uncertain-but-bounded parameters under stochastic process excitations. Reliability Engineering & System Safety 132, pages 46-59.
Crossref
Ming Zhou, Shu Xia, Gengyin Li & Xiao Han. (2014) Interval optimization combined with point estimate method for stochastic security-constrained unit commitment. International Journal of Electrical Power & Energy Systems 63, pages 276-284.
Crossref
Aihong Ren & Yuping Wang. (2014) A cutting plane method for bilevel linear programming with interval coefficients. Annals of Operations Research 223:1, pages 355-378.
Crossref
Xiuquan Wang & Guohe Huang. (2014) Violation analysis on two-step method for interval linear programming. Information Sciences 281, pages 85-96.
Crossref
Milan Hladík. (2013) On approximation of the best case optimal value in interval linear programming. Optimization Letters 8:7, pages 1985-1997.
Crossref
Sujit Kumar De & Shib Sankar Sana. (2014) A multi-periods production–inventory model with capacity constraints for multi-manufacturers – A global optimality in intuitionistic fuzzy environment. Applied Mathematics and Computation 242, pages 825-841.
Crossref
Xinwei Shen, Jinghong Zheng, Shouzhen Zhu & Xiaoyu Wang. (2014) Multi-scene security constrained economic dispatch with rational wind power curtailment in micro-grid. Multi-scene security constrained economic dispatch with rational wind power curtailment in micro-grid.
Meng Yuan & Junzo Watada. (2014) A minimax model of portfolio optimization using data mining to predict interval return rate. A minimax model of portfolio optimization using data mining to predict interval return rate.
Yucheng Wan, Xinbin Liu & Fuhong Wang. (2014) All coefficients interval number linear programming model with equality constrains and its solution method. All coefficients interval number linear programming model with equality constrains and its solution method.
S. Tangaramvong, F. Tin-Loi & W. Gao. (2014) Interval Limit Analysis of Structures with Uncertain but Non-probabilistic Applied Forces. Interval Limit Analysis of Structures with Uncertain but Non-probabilistic Applied Forces.
Aihong Ren, Yuping Wang & Xingsi Xue. (2013) An interval programming approach for the bilevel linear programming problem under fuzzy random environments. Soft Computing 18:5, pages 995-1009.
Crossref
Jiajia Luo, Wei Li & Qin Wang. (2014) Checking strong optimality of interval linear programming with inequality constraints and nonnegative constraints. Journal of Computational and Applied Mathematics 260, pages 180-190.
Crossref
Xiao Liu, Wei Li & Peng Zhen Liu. (2014) Construction Method of Constraint Matrices Corresponded by an Optimal Solution. Applied Mechanics and Materials 513-517, pages 1617-1620.
Crossref
Kun Ren & Qu Jihong. (2014) A Multiobjective Interval Programming Model for Wind-Hydrothermal Power System Dispatching Using 2-Step Optimization Algorithm. The Scientific World Journal 2014, pages 1-9.
Crossref
Hecheng Li & Lei Fang. (2014) An Evolutionary Algorithm Using Duality-Base-Enumerating Scheme for Interval Linear Bilevel Programming Problems. Mathematical Problems in Engineering 2014, pages 1-8.
Crossref
Carmen Gervet & Sylvie Galichet. 2014. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Information Processing and Management of Uncertainty in Knowledge-Based Systems 284 293 .
Valeria Borodin, Jean Bourtembourg, Faicel Hnaien & Nacima Labadie. 2014. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Information Processing and Management of Uncertainty in Knowledge-Based Systems 117 126 .
Hecheng Li & Lei Fang. (2013) An Efficient Genetic Algorithm for Interval Linear Bilevel Programming Problems. An Efficient Genetic Algorithm for Interval Linear Bilevel Programming Problems.
A.L. Soyster & F.H. Murphy. (2013) A unifying framework for duality and modeling in robust linear programs. Omega 41:6, pages 984-997.
Crossref
M. Allahdadi & H. Mishmast Nehi. (2012) The optimal solution set of the interval linear programming problems. Optimization Letters 7:8, pages 1893-1911.
Crossref
Wei Li, Jiajia Luo & Chongyang Deng. (2013) Necessary and sufficient conditions of some strong optimal solutions to the interval linear programming. Linear Algebra and its Applications 439:10, pages 3241-3255.
Crossref
Jiajia Luo & Wei Li. (2013) Strong optimal solutions of interval linear programming. Linear Algebra and its Applications 439:8, pages 2479-2493.
Crossref
S. Tangaramvong, F. Tin-Loi, D. Wu & W. Gao. (2013) Mathematical programming approaches for obtaining sharp collapse load bounds in interval limit analysis. Computers & Structures 125, pages 114-126.
Crossref
Yong-Jun Liu, Wei-Guo Zhang & Pu Zhang. (2013) A multi-period portfolio selection optimization model by using interval analysis. Economic Modelling 33, pages 113-119.
Crossref
Aihong Ren & Yuping Wang. (2013) An interval programming approach for bilevel linear programming problem with fuzzy random coefficients. An interval programming approach for bilevel linear programming problem with fuzzy random coefficients.
Milan Hladı´k. (2013) Weak and strong solvability of interval linear systems of equations and inequalities. Linear Algebra and its Applications 438:11, pages 4156-4165.
Crossref
Vladimir Simic & Branka Dimitrijevic. (2013) Risk explicit interval linear programming model for long-term planning of vehicle recycling in the EU legislative context under uncertainty. Resources, Conservation and Recycling 73, pages 197-210.
Crossref
Seyed Hossein Razavi Hajiagha, Hannan Amoozad Mahdiraji & Shide Sadat Hashemi. (2013) Multi‐objective linear programming with interval coefficients. Kybernetes 42:3, pages 482-496.
Crossref
Ching-Ter Chang, Huang-Mu Chen & Zheng-Yun Zhuang. (2012) Revised multi-segment goal programming: Percentage goal programming. Computers & Industrial Engineering 63:4, pages 1235-1242.
Crossref
D Wu, W Gao, F Tin-Loi & S Tangaramvong. 2012. From Materials to Structures: Advancement through Innovation. From Materials to Structures: Advancement through Innovation 997 1002 .
Herminia I. Calvete & Carmen Galé. (2012) Linear bilevel programming with interval coefficients. Journal of Computational and Applied Mathematics 236:15, pages 3751-3762.
Crossref
Suresh Kumar Barik, Mahendra Prasad Biswal & Debashish Chakravarty. (2012) Two-stage stochastic programming problems involving interval discrete random variables. OPSEARCH 49:3, pages 280-298.
Crossref
Boran Zhou & Quanyuan Jiang. (2012) Security-constrained unit commitment with wind power generation by using interval linear programming. Security-constrained unit commitment with wind power generation by using interval linear programming.
S. K. Barik, M. P. Biswal & D. Chakravarty. (2012) Multiobjective Two-Stage Stochastic Programming Problems with Interval Discrete Random Variables. Advances in Operations Research 2012, pages 1-21.
Crossref
Xin Ma. 2012. 2011 International Conference in Electrics, Communication and Automatic Control Proceedings. 2011 International Conference in Electrics, Communication and Automatic Control Proceedings 1159 1165 .
Yong Liu, Rui Zou, John Riverson, Pingjian Yang & Huaicheng Guo. (2011) Guided adaptive optimal decision making approach for uncertainty based watershed scale load reduction. Water Research 45:16, pages 4885-4895.
Crossref
Yang Wang, Qing Xia & Chongqing Kang. (2011) Unit Commitment With Volatile Node Injections by Using Interval Optimization. IEEE Transactions on Power Systems 26:3, pages 1705-1713.
Crossref
Yang Wang, Qing Xia & Chongqing Kang. (2011) A novel security stochastic unit commitment for wind-thermal system operation. A novel security stochastic unit commitment for wind-thermal system operation.
Milan Hladík. (2009) Optimal value bounds in nonlinear programming with interval data. TOP 19:1, pages 93-106.
Crossref

Displaying 200 of 232 citing articles. Use the download link below to view the full list of citing articles.

Download full citations list

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.