Solving lot-sizing problem with quantity discount and transportation cost

References

• Almeder , C . 2010 . A Hybrid Optimization Approach for Multi-level Capacitated Lot-sizing Problems . European Journal of Operational Research , 200 : 599 – 606 .
   Web of Science ®Google Scholar
• Amodeo , L . 5484 . Prins, C., and Sánchez, D.R. (2009), ‘Comparison of Metaheuristic Approaches for Multi-objective Simulation-based Optimization in Supply Chain Inventory Management’ . Lecture Notes in Computer Science , : 798 – 807 .
   Google Scholar
• Banerjee , A . 2009 . Simultaneous Determination of Multiproduct Batch and Full Truckload Shipment Schedules . International Journal of Production Economics , 118 : 111 – 117 .
   Web of Science ®Google Scholar
• Bard , JF and Nananukul , N . 2010 . A Branch-and-price Algorithm for an Integrated Production and Inventory Routing Problem . Computers and Operations Research , 37 : 2202 – 2217 .
   Web of Science ®Google Scholar
• Cárdenas-Barrón , LE . 2010 . Adaptive Genetic Algorithm for Lot-sizing Problem with Self-adjustment Operation Rate: A Discussion . International Journal of Production Economics , 123 : 243 – 245 .
   Web of Science ®Google Scholar
• Cha , BC and Moon , IK . 2005 . The Joint Replenishment Problem with Quantity Discounts under Constant Demand . OR Spectrum , 27 : 569 – 581 .
   Web of Science ®Google Scholar
• Chang , C-T . 2006 . An Acquisition Policy for a Single Item Multi-supplier System with Real-world Constraints . Applied Mathematical Modelling , 20 : 1 – 9 .
   Web of Science ®Google Scholar
• Chang , C-T . 2007 . An Integrated JIT-PQD Model for Enhancing Buyer-supplier Linkage . International Journal of Systems Science , 38 : 413 – 419 .
   Web of Science ®Google Scholar
• Chang , C-T , Chin , CL and Lin , M-F . 2006 . On the Single Item Multi-supplier System with Variable Lead-time, Price-quantity Discount, and Resource Constraints . Applied Mathematics and Computation , 182 : 89 – 97 .
   Web of Science ®Google Scholar
• Chang , C-T , Chiou , C-C , Liao , Y-S and Chang , S-C . 2008 . An Exact Policy for Enhancing Buyer-supplier Linkage in Supply Chain System . International Journal of Production Economics , 113 : 470 – 479 .
   Web of Science ®Google Scholar
• Defersha , FM and Chen , M . 2008 . A Linear Programming Embedded Genetic Algorithm for an Integrated Cell Formation and Lot Sizing Considering Product Quality . European Journal of Operational Research , 187 : 46 – 69 .
   Web of Science ®Google Scholar
• Denizel , M and Süral , H . 2006 . On Alternative Mixed Integer Programming Formulations and LP-based Heuristics for Lot-sizing with Setup Times . Journal of Operations Research Society , 57 : 389 – 399 .
   Web of Science ®Google Scholar
• Ertogral , K , Darwish , M and Ben-Daya , M . 2007 . Production and Shipment Lot Sizing in a Vendor-buyer Supply Chain with Transportation Cost . European Journal of Operational Research , 176 : 1592 – 1606 .
   Web of Science ®Google Scholar
• Gopalakrishnan , M , Ding , K , Bourjolly , J-M and Mohan , S . 2001 . A Tabu-search Heuristic for the Capacitated Lot-sizing Problem with Set-up Carryover . Management Science , 47 : 851 – 863 .
   Web of Science ®Google Scholar
• Gupta , RK , Bhunia , AK and Goyal , SK . 2007 . An Application of Genetic Algorithm in a Marketing Oriented Inventory Model with Interval Valued Inventory Costs and Three-component Demand Rate Dependent on Displayed Stock Level . Applied Mathematics and Computations , 192 : 466 – 478 .
   Web of Science ®Google Scholar
• Gupta , RK , Bhunia , AK and Goyal , SK . 2009 . An Application of Genetic Algorithm in Solving an Inventory Model with Advance Payment and Interval Valued Inventory Costs . Mathematical and Computer Modelling , 49 : 893 – 905 .
   Web of Science ®Google Scholar
• Hill , RM and Omar , M . 2006 . Another Look at the Single-vendor Single-buyer Integrated Production-inventory Problem . International Journal of Production Research , 44 : 791 – 800 .
   Web of Science ®Google Scholar
• Hong , S-P and Kim , Y-H . 2009 . A Genetic Algorithm for Joint Replenishment based on the Exact Inventory Cost . Computers and Operations Research , 36 : 167 – 175 .
   Web of Science ®Google Scholar
• Hop , NV and Tabucanon , MT . 2005 . Adaptive Genetic Algorithm for Lot-sizing Problem with Self-adjustment Operation Rate . International Journal of Production Economics , 98 : 129 – 135 .
   Web of Science ®Google Scholar
• Hsieh , T-P , Cheng , M-C , Dye , C-Y and Ouyang , L-Y . 2011 . Determining Optimal Selling Price and Lot Size with Process Reliability and Partial Backlogging Considerations . International Journal of Systems Science , 42 : 1 – 10 .
   Web of Science ®Google Scholar
• Jans , R and Degraeve , Z . 2007 . Meta-heuristics for Dynamic Lot Sizing: A Review and Comparison of Solution Approaches . European Journal of Operational Research , 177 : 1855 – 1875 .
   Web of Science ®Google Scholar
• Kang , HY . 2008 . Optimal Replenishment Policies for Deteriorating Control Wafers Inventory . International Journal of Advanced Manufacturing Technology , 35 : 736 – 744 .
   Web of Science ®Google Scholar
• Kang , H-Y and Lee , AHI . 2010 . Inventory Replenishment Model using Fuzzy Multiple Objective Programming: A Case Study of a High-tech Company in Taiwan . Applied Soft Computing , 10 : 1108 – 1118 .
   Web of Science ®Google Scholar
• Khouja , M , Michalewics , Z and Satoskar , SS . 2000 . A Comparison Between Genetic Algorithms and the RAND Method for Solving the Joint Replenishment Problem . Production Planning and Control , 11 : 556 – 564 .
   Web of Science ®Google Scholar
• Kratica , J , Milanović , M , Stanimirović , Z and Tošić , D . 2011 . An Evolutionary-based Approach for Solving a Capacitated Hub Location Problem . Applied Soft Computing , 11 : 1858 – 1866 .
   Web of Science ®Google Scholar
• Lee , AHI and Kang , H-Y . 2008 . A Mixed 0-1 Integer Programming for Inventory Model: A Case Study of TFT-LCD Manufacturing Company in Taiwan . Kybernetes , 37 : 66 – 82 .
   Web of Science ®Google Scholar
• Li , Y , Chen , J and Cai , X . 2007 . Heuristic Genetic Algorithm for Capacitated Production Planning Problems with Batch Processing and Remanufacturing . International Journal of Production Economics , 105 : 301 – 317 .
   Web of Science ®Google Scholar
• Li , Y , Ip , WH and Wang , DW . 1998 . Genetic Algorithm Approach to Earliness and Tardiness Production Scheduling and Planning Problem . International Journal of Production Economics , 54 : 65 – 76 .
   Web of Science ®Google Scholar
• Li , J and Liu , L . 2006 . Supply Chain Coordination with Quantity Discount Policy . International Journal of Production Economics , 101 : 89 – 98 .
   Web of Science ®Google Scholar
• LINGO (2006), User's Manual (version 10), Chicago, IL: LINGO System Inc
   Google Scholar
• Maiti , AK , Bhunia , AK and Maiti , M . 2006 . An Application of Real-coded Genetic Algorithm (RCGA) for Mixed Integer Non-linear Programming in Two-storage Multi-item Inventory Model with Discount Policy . Applied Mathematics and Computations , 183 : 903 – 915 .
   Web of Science ®Google Scholar
• MATLAB (2007), User's Manual (version 4.7, R2007b), Natick, MA: The MathWorks, Inc
   Google Scholar
• Minner , S . 2009 . A Comparison of Simple Heuristics for Multi-product Dynamic Demand Lot-sizing with Limited Warehouse Capacity . International Journal of Production Economics , 118 : 305 – 310 .
   Web of Science ®Google Scholar
• Moon , IK , Goyal , SK and Cha , BC . 2008 . The Joint Replenishment Problem Involving Multiple Suppliers Offering Quantity Discounts . International Journal of Systems Science , 39 : 629 – 637 .
   Web of Science ®Google Scholar
• Moussourakis , J and Haksever , C . 2008 . A Practical Model for Ordering in Multi-product Multi-constraint Inventory Systems with All-units Quantity Discounts . International Journal of Information and Management Sciences , 19 : 263 – 283 .
   Google Scholar
• Narenji , M , Ghomi , SMTF and Nooraie , SVR . 2011 . Grouping in Decomposition Method for Multi-item Capacitated Lot-sizing Problem with Immediate Lost Sales and Joint and Item-dependent Setup Cost . International Journal of Systems Science , 42 : 489 – 498 .
   Web of Science ®Google Scholar
• Pitakaso , R , Almeder , C , Doerner , KF and Hartl , RF . 2007 . A MAX-MIN Ant System for Unconstrained Multi-level Lot-sizing Problems . Computers and Operations Research , 34 : 2533 – 2552 .
   Web of Science ®Google Scholar
• Qi , JG , Burns , GR and Harrison , DK . 2000 . The Application of Parallel Multipopulation Genetic Algorithms to Dynamic Job-shop Scheduling . International Journal of Advanced Manufacturing Technology , 16 : 609 – 615 .
   Web of Science ®Google Scholar
• Razmi , J and Maghool , E . 2010 . Multi-item Supplier Selection and Lot-sizing Planning under Multiple Price Discounts using Augmented ε-constraint and Tchebycheff Method . International Journal of Advanced Manufacturing Technology , 49 : 379 – 392 .
   Web of Science ®Google Scholar
• Rezaei , J and Davoodi , M . 2008 . A Deterministic, Multi-item Inventory Model with Supplier Selection and Imperfect Quality . Applied Mathematical Modelling , 32 : 2106 – 2116 .
   Web of Science ®Google Scholar
• Sánchez , D . Amodeo, L., and Prins, C. (2010), ‘Meta-heuristic Approaches for Multi-objective Simulation-based Optimization in Supply Chain Inventory Management’, in Artificial Intelligence Techniques for Networked Manufacturing Enterprises Management, Springer Series in Advanced Manufacturing, London: Springer, pp. 249–269
   Google Scholar
• Şenyiğit , E and Erol , R . 2010 . New Lot Sizing Heuristics for Demand and Price Uncertainties with Service-level Constraint . International Journal of Production Research , 48 : 21 – 44 .
   Web of Science ®Google Scholar
• Taleizadeh , AA , Niaki , STA , Aryanezhad , M-B and Tafti , AF . 2010 . A Genetic Algorithm to Optimize Multiproduct Multiconstraint Inventory Control Systems with Stochastic Replenishment Intervals and Discount . International Journal of Advanced Manufacturing Technology , 51 : 311 – 323 .
   Web of Science ®Google Scholar
• Tarim , SA and Smith , BM . 2008 . Constraint Programming for Computing Non-stationary (R,S) Inventory Policies . European Journal of Operational Research , 189 : 1004 – 1021 .
   Web of Science ®Google Scholar
• Tiwari , MK , Raghavendra , N , Agrawal , S and Goyal , SK . 2010 . A Hybrid Taguchi-Immune Approach to Optimize an Integrated Supply Chain Design Problem with Multiple Shipping . European Journal of Operational Research , 203 : 95 – 106 .
   Web of Science ®Google Scholar
• Van Nieuwenhuyse , I and Vandaele , N . 2004 . Determining the Optimal Number of Sublots in a Single-product, Deterministic Flow Shop with Overlapping Operations . International Journal of Production Economics , 92 : 221 – 239 .
   Web of Science ®Google Scholar
• Vargas , V . 2009 . An Optimal Solution for the Stochastic Version of the Wagner-Whitin Dynamic Lot-size Model . European Journal of Operational Research , 198 : 447 – 451 .
   Web of Science ®Google Scholar
• Wang , S and Sarker , BR . 2005 . An Assembly-type Supply Chain System Controlled by Kanbans under a Just-in-time Delivery Policy . European Journal of Operational Research , 162 : 153 – 172 .
   Web of Science ®Google Scholar
• Widyadana , GA , Wee , HM and Chang , J-Y . 2010 . Determining the Optimal Number of Kanban in Multi-products Supply Chain System . International Journal of Systems Science , 41 : 189 – 201 .
   Web of Science ®Google Scholar
• Yang , PC , Wee , HW and Yu , JCP . 2007 . Collaborative Pricing and Replenishment Policy for Hi-tech Industry . Journal of Operations Research Society , 58 : 894 – 900 .
   Web of Science ®Google Scholar
• Zegordi , SH , Kamal Abadi , IN and Beheshti Nia , MA . 2010 . A Novel Genetic Algorithm for Solving Production and Transportation Scheduling in a Two-stage Supply Chain . Computers and Industrial Engineering , 58 : 373 – 381 .
   Web of Science ®Google Scholar