Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 55, 2006 - Issue 4
Submit an article Journal homepage
351
Views
43
CrossRef citations to date
0
Altmetric
Original Articles

A sixth bibliography of fractional programming

I. M. Stancu-Minasian The Romanian Academy, The Institute of Mathematical Statistics and Applied Mathematics, BucharestCorrespondence[email protected]
Pages 405-428 | Received 02 Jun 2005, Accepted 28 Mar 2006, Published online: 31 Jan 2007

Citations (43)

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

Subscribe to citation updates

Read on this site (5)

Hongwei Jiao, Youlin Shang & Rongjiang Chen. (2023) A potential practical algorithm for minimizing the sum of affine fractional functions. Optimization 72:6, pages 1577-1607.
Read now
Tran Van Su & Dinh Dieu Hang. (2023) Second-order optimality conditions in locally Lipschitz multiobjective fractional programming problem with inequality constraints. Optimization 72:5, pages 1171-1198.
Read now
A. Ghazi & A. Roubi. (2022) A DC approach for minimax fractional optimization programs with ratios of convex functions. Optimization Methods and Software 37:2, pages 639-657.
Read now
Hui-Ju Chen. (2019) A new vertex enumeration-based approach for bilevel linear-linear fractional programming problems. Journal of Information and Optimization Sciences 40:7, pages 1413-1427.
Read now
G. J. Zalmai & Qinghong Zhang. (2010) Generalized (F,β,Φ,ρ,θ) -univex functions and optimality conditions in semiinfinite fractional programming. Journal of Interdisciplinary Mathematics 13:4, pages 377-405.
Read now

Articles from other publishers (38)

Hssaine Boualam & Ahmed Roubi. (2023) Augmented Lagrangian dual for nonconvex minimax fractional programs and proximal bundle algorithms for its resolution. Journal of Industrial and Management Optimization 19:5, pages 3610-3636.
Crossref
Sony Khatri & Ashish PrasadKumarKumar. (2023) Higher order fractional variational symmetric duality over cone constraints. Yugoslav Journal of Operations Research YUJOR 33:2, pages 259-276.
Crossref
Abdelouafi Ghazi & Ahmed Roubi. (2021) Optimality conditions and DC-Dinkelbach-type algorithm for generalized fractional programs with ratios of difference of convex functions. Optimization Letters 15:7, pages 2351-2375.
Crossref
Karima Boufi, Mostafa El Haffari & Ahmed Roubi. (2020) Optimality Conditions and a Method of Centers for Minimax Fractional Programs with Difference of Convex Functions. Journal of Optimization Theory and Applications 187:1, pages 105-132.
Crossref
Ramu Dubey, Vishnu Narayan Mishra & Rifaqat Ali. (2019) Duality for Unified Higher-Order Minimax Fractional Programming with Support Function under Type-I Assumptions. Mathematics 7:11, pages 1034.
Crossref
Erfan Mehmanchi, Andrés Gómez & Oleg A. Prokopyev. (2019) Fractional 0–1 programs: links between mixed-integer linear and conic quadratic formulations. Journal of Global Optimization 75:2, pages 273-339.
Crossref
Srikumar Acharya, Berhanu Belay & Rajashree Mishra. (2019) MULTI-OBJECTIVE PROBABILISTIC FRACTIONAL PROGRAMMING PROBLEM INVOLVING TWO PARAMETERS CAUCHY DISTRIBUTION. Mathematical Modelling and Analysis 24:3, pages 385-403.
Crossref
Karima Boufi & Ahmed Roubi. (2019) Duality Results and Dual Bundle Methods Based on the Dual Method of Centers for Minimax Fractional Programs. SIAM Journal on Optimization 29:2, pages 1578-1602.
Crossref
Alireza Tajbakhsh & Elkafi Hassini. (2018) Evaluating sustainability performance in fossil-fuel power plants using a two-stage data envelopment analysis. Energy Economics 74, pages 154-178.
Crossref
Wassila Drici, Fatma Zohra Ouail & Mustapha Moulaï. (2017) Optimizing a linear fractional function over the integer efficient set. Annals of Operations Research 267:1-2, pages 135-151.
Crossref
Ram U. Verma & G. J. Zalmai. (2017) Parameter-free duality models and applications to semiinfinite minmax fractional programming based on second-order ( $$\phi ,\eta ,\rho ,\theta ,{\tilde{m}}$$ ϕ , η , ρ , θ , m ~ )-sonvexities. OPSEARCH 55:2, pages 381-410.
Crossref
Yingfeng Zhao & Ting Zhao. (2018) A reduced space branch and bound algorithm for a class of sum of ratios problems. Open Mathematics 16:1, pages 539-552.
Crossref
Deepak Bhati, Pitam Singh & Rubi Arya. (2016) A Taxonomy and Review of the Multi-Objective Fractional Programming (MOFP) Problems. International Journal of Applied and Computational Mathematics 3:3, pages 2695-2717.
Crossref
Riccardo Cambini, Laura Carosi, Laura Martein & Ezat Valipour. (2016) Simplex-like sequential methods for a class of generalized fractional programs. Mathematical Methods of Operations Research 85:1, pages 77-96.
Crossref
Ram U. VermaRam U. Verma. 2017. Semi-Infinite Fractional Programming. Semi-Infinite Fractional Programming 173 191 .
C. Veeramani & M. Sumathi. (2016) A new method for solving fuzzy linear fractional programming problems. Journal of Intelligent & Fuzzy Systems 31:3, pages 1831-1843.
Crossref
Alireza Nazemi & Narges Tahmasbi. (2015) A practical nonlinear dynamic framework for solving a class of fractional programming problems. Nonlinear Dynamics 82:3, pages 1093-1108.
Crossref
P. Q. Khanh & L. T. Tung. (2014) First- and second-order optimality conditions for multiobjective fractional programming. TOP 23:2, pages 419-440.
Crossref
Arun Kumar Tripathy. (2014) Higher order mixed type duality in nonsmooth multiobjective fractional programming involving generalized univex function. OPSEARCH 52:1, pages 108-133.
Crossref
Anurag Jayswal, I. Ahmad & Ashish Kumar Prasad. (2014) Higher Order Fractional Symmetric Duality Over Cone Constraints. Journal of Mathematical Modelling and Algorithms in Operations Research 14:1, pages 91-101.
Crossref
Meriem Ait Mehdi, Mohamed El-Amine Chergui & Moncef Abbas. (2014) An Improved Method for Solving Multiobjective Integer Linear Fractional Programming Problem. Advances in Decision Sciences 2014, pages 1-7.
Crossref
Anurag Jayswal & Ashish Kumar Prasad. (2013) Second order symmetric duality in nondifferentiable multiobjective fractional programming with cone convex functions. Journal of Applied Mathematics and Computing 45:1-2, pages 15-33.
Crossref
G.D.H. Claassen. (2014) Mixed integer (0–1) fractional programming for decision support in paper production industry. Omega 43, pages 21-29.
Crossref
Anurag Jayswal, I. Ahmad & Ashish Kumar Prasad. (2014) DUALITY IN MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEMS INVOLVING (H p , r)-INVEX FUNCTIONS . Journal of applied mathematics & informatics 32:1_2, pages 99-111.
Crossref
Pierre Hansen & Christophe Meyer. 2014. Clusters, Orders, and Trees: Methods and Applications. Clusters, Orders, and Trees: Methods and Applications 13 50 .
John Gunnar Carlsson & Jianming Shi. (2013) A linear relaxation algorithm for solving the sum-of-linear-ratios problem with lower dimension. Operations Research Letters 41:4, pages 381-389.
Crossref
V. Jeyakumar, G.Y. Li & S. Srisatkunarajah. (2013) Strong duality for robust minimax fractional programming problems. European Journal of Operational Research 228:2, pages 331-336.
Crossref
Oleksii Ursulenko, Sergiy Butenko & Oleg A. Prokopyev. (2012) A global optimization algorithm for solving the minimum multiple ratio spanning tree problem. Journal of Global Optimization 56:3, pages 1029-1043.
Crossref
Jen-Yen Lin, Hui-Ju Chen & Ruey-Lin Sheu. (2013) Augmented Lagrange primal-dual approach for generalized fractional programming problems. Journal of Industrial & Management Optimization 9:4, pages 723-741.
Crossref
J.C. Gerdessen, G.D.H. Claassen & A. Banasik. (2013) General 0–1 fractional programming with conditional fractional terms for design of food frequency questionnaires. Operations Research Letters 41:1, pages 7-11.
Crossref
Ioan M. Stancu-Minasian & Andreea Mădălina Stancu. 2013. Optimization Theory, Decision Making, and Operations Research Applications. Optimization Theory, Decision Making, and Operations Research Applications 199 209 .
V. Jeyakumar & G. Y. Li. (2011) Robust Duality for Fractional Programming Problems with Constraint-Wise Data Uncertainty. Journal of Optimization Theory and Applications 151:2, pages 292-303.
Crossref
Vasile Preda, Ioan M. Stancu-Minasian, Miruna Beldiman & Andreea-Madalina Stancu. (2011) On a general duality model in multiobjective fractional programming with -set functions . Mathematical and Computer Modelling 54:1-2, pages 490-496.
Crossref
I. Ahmad, Z. Husain & S. Al-Homidan. (2011) Second-order duality in nondifferentiable fractional programming. Nonlinear Analysis: Real World Applications 12:2, pages 1103-1110.
Crossref
Yahia Zare Mehrjerdi. (2011) Solving fractional programming problem through fuzzy goal setting and approximation. Applied Soft Computing 11:2, pages 1735-1742.
Crossref
Pankaj Gupta & Mukesh Kumar Mehlawat. 2011. Topics in Nonconvex Optimization. Topics in Nonconvex Optimization 115 131 .
Mohamed El-Amine Chergui & Mustapha Moulaï. (2008) An Exact Method for a Discrete Multiobjective Linear Fractional Optimization. Journal of Applied Mathematics and Decision Sciences 2008, pages 1-12.
Crossref
Nacéra Maachou & Mustapha Moulaï. 2008. Modelling, Computation and Optimization in Information Systems and Management Sciences. Modelling, Computation and Optimization in Information Systems and Management Sciences 197 203 .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.