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Journal of the Operational Research Society Volume 47, 1996 - Issue 7
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Technical Note

A New Optimal Algorithm for the Joint Replenishment Problem

S. ViswanathanNanyang Business School, Nanyang Technological UniversitySingapore
Pages 936-944 | Received 01 Apr 1995, Accepted 01 Dec 1995, Published online: 20 Dec 2017

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Matthieu Godichaud & Lionel Amodeo. (2019) EOQ inventory models for disassembly systems with disposal and lost sales. International Journal of Production Research 57:18, pages 5685-5704.
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Carlos Otero-Palencia, René Amaya–Mier & Ruben Yie-Pinedo. (2019) A stochastic joint replenishment problem considering transportation and warehouse constraints with gainsharing by Shapley Value allocation. International Journal of Production Research 57:10, pages 3036-3059.
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Chiara Franciosi, Francesco Carrabs, Raffaele Cerulli & Salvatore Miranda. (2017) An evolutionary approach for the offsetting inventory cycle problem. Cogent Engineering 4:1.
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A Nilsson & E A Silver. (2008) A simple improvement on Silver's heuristic for the joint replenishment problem. Journal of the Operational Research Society 59:10, pages 1415-1421.
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June-Chun Sung & Dah-Chuan Gong. (2008) AN INTEGRATED PRODUCTION-INVENTORY MODEL FOR DETERIORATING PRODUCTION WITH DEFECTIVE ITEM REWORK AND JOINT MATERIAL REPLENISHMENT POLICY. Journal of the Chinese Institute of Industrial Engineers 25:4, pages 326-336.
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Y Feng & S Viswanathan. (2007) Impact of demand uncertainty on coordinating supply chain inventories through common replenishment epochs. Journal of the Operational Research Society 58:7, pages 964-971.
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E P Robinson, A Narayanan & L-L Gao. (2007) Effective heuristics for the dynamic demand joint replenishment problem. Journal of the Operational Research Society 58:6, pages 808-815.
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Ming-Jong Yao. (2007) SOLVING THE JOINT REPLENISHMENT PROBLEM WITH WAREHOUSE-SPACE RESTRICTIONS USING A GENETIC ALGORITHM. Journal of the Chinese Institute of Industrial Engineers 24:2, pages 128-141.
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Jia-Yen Huang. (2006) New search algorithm for solving the maintenance scheduling problem for a family of machines. Optimization Methods and Software 21:3, pages 461-477.
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H. Siajadi, R. N. Ibrahim , P. B. Lochert & W. M. Chan. (2005) Joint replenishment policy in inventory-production systems. Production Planning & Control 16:3, pages 255-262.
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M. Khouja , S. Park & C. Saydam. (2005) Joint replenishment problem under continuous unit cost change. International Journal of Production Research 43:2, pages 311-326.
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Ming-Jong Yao. (2005) ON DETERMINING THE OPTIMAL MAINTENANCE FREQUENCY FOR A FAMILY OF MACHINES. Journal of the Chinese Institute of Industrial Engineers 22:3, pages 199-209.
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Xiaotian Zhuang, Zhenyu Gao, Yuli Zhang, Qian Zhang & Shengnan Wu. (2023) Stochastic Joint Replenishment Optimization under Joint Inbound Operational Cost. Journal of Systems Science and Systems Engineering 32:5, pages 531-552.
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Andreas S. Schulz & Claudio Telha. (2022) Integer Factorization: Why Two-Item Joint Replenishment Is Hard. Operations Research.
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Guangyu Wan, Yu Cao & Shouyang Wang. (2022) Evaluation of a joint replenishment policy with sales-based threshold and stochastic demand. Computers & Industrial Engineering 172, pages 108525.
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Sirui Wang, Lin Wang & Yingying Pi. (2022) A hybrid differential evolution algorithm for a stochastic location-inventory-delivery problem with joint replenishment. Data Science and Management 5:3, pages 124-136.
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Seyed Hamid Reza Pasandideh, Seyed Taghi Akhavan Niaki & Reza Abdollahi. (2018) Modeling and solving a bi-objective joint replenishment-location problem under incremental discount: MOHSA and NSGA-II. Operational Research 20:4, pages 2365-2396.
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Ming-Jong Yao, Jen-Yen Lin, Yu-Liang Lin & Shu-Cherng Fang. (2020) An integrated algorithm for solving multi-customer joint replenishment problem with districting consideration. Transportation Research Part E: Logistics and Transportation Review 138, pages 101896.
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Jen-Yen Lin & Ming-Jong Yao. (2019) The joint replenishment problem with trade credits. Journal of Global Optimization 76:2, pages 347-382.
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Yanru Chen, Lu Yang, Yangsheng Jiang, M.I.M. Wahab & Jie Yang. (2019) Joint replenishment decision considering shortages, partial demand substitution, and defective items. Computers & Industrial Engineering 127, pages 420-435.
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Julian Andres Zapata-Cortes, Martín Darío Arango-Serna & Víctor Jaime Saldarriaga-Romero. 2019. Best Practices in Manufacturing Processes. Best Practices in Manufacturing Processes 239 259 .
Tamar Cohen-Hillel & Liron Yedidsion. (2018) The Periodic Joint Replenishment Problem Is Strongly 𝒩𝒫-Hard. Mathematics of Operations Research 43:4, pages 1269-1289.
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Ren-Qian Zhang, Meng Yi, Qi-Qi Wang & Chen Xiang. (2018) Polynomial algorithm of inventory model with complete backordering and correlated demand caused by cross-selling. International Journal of Production Economics 199, pages 193-198.
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Matthieu Godichaud & Lionel Amodeo. (2018) Economic order quantity for multistage disassembly systems. International Journal of Production Economics 199, pages 16-25.
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S. P. Sarmah & Umesh Chandra Moharana. 2018. Handbook of Research on Promoting Business Process Improvement Through Inventory Control Techniques. Handbook of Research on Promoting Business Process Improvement Through Inventory Control Techniques 534 558 .
Leonardo dos Santos Lourenço Bastos, Matheus Lopes Mendes, Denilson Ricardo de Lucena Nunes, André Cristiano Silva Melo & Mariana Pereira Carneiro. (2017) A systematic literature review on the joint replenishment problem solutions: 2006-2015. Production 27:0.
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Hui Qu, Lin Wang & Rui Liu. (2015) A contrastive study of the stochastic location-inventory problem with joint replenishment and independent replenishment. Expert Systems with Applications 42:4, pages 2061-2072.
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Christian Larsen & Marcel Turkensteen. (2014) A vendor managed inventory model using continuous approximations for route length estimates and Markov chain modeling for cost estimates. International Journal of Production Economics 157, pages 120-132.
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Ciro Alberto Amaya, Jimmy Carvajal & Fabian Castaño. (2013) A heuristic framework based on linear programming to solve the constrained joint replenishment problem (C-JRP). International Journal of Production Economics 144:1, pages 243-247.
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Francisco Silva & Lucia Gao. (2012) A Joint Replenishment Inventory-Location Model. Networks and Spatial Economics 13:1, pages 107-122.
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Wen-Tsung Ho. (2013) Determining the Optimum Ordering Policy in Multi-Item Joint Replenishment Problem Using a Novel Method. Mathematical Problems in Engineering 2013, pages 1-9.
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Renqian Zhang, Ikou Kaku & Yiyong Xiao. (2012) Model and heuristic algorithm of the joint replenishment problem with complete backordering and correlated demand. International Journal of Production Economics 139:1, pages 33-41.
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Jia‐Yen Huang. (2012) The scheduling of maintenance service for a family of machines of multi‐branch firm. Journal of Quality in Maintenance Engineering 18:3, pages 311-324.
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Ren-Qian Zhang. (2012) An extension of partial backordering EOQ with correlated demand caused by cross-selling considering multiple minor items. European Journal of Operational Research 220:3, pages 876-881.
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Young-Hyeon Yang, Jong-Soo Kim & Tai-Young Kim. (2012) Joint Replenishment Policy for Items with Non-stationary Demands. Journal of Korean Institute of Industrial Engineers 38:2, pages 116-124.
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N. Anbazhagan & B. Vigneshwaran. 2012. Information Technologies, Methods, and Techniques of Supply Chain Management. Information Technologies, Methods, and Techniques of Supply Chain Management 231 244 .
I.K. Moon, B.C. Cha & C.U. Lee. (2011) The joint replenishment and freight consolidation of a warehouse in a supply chain. International Journal of Production Economics 133:1, pages 344-350.
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Ming-Jong Yao, James T. Lin & Chen-Hao Yang. (2011) An integrated approach for the operations of distribution and lateral transshipment for seasonal products - A case study in household product industry. Journal of Industrial & Management Optimization 7:2, pages 401-424.
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N. Anbazhagan & B. Vigneshwaran. (2010) Two-Commodity Markovian Inventory System with Set of Reorders. International Journal of Information Systems and Supply Chain Management 3:2, pages 52-67.
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Wen-Chin Tsai & Chih-Hsiung Wang. (2010) MODELING THE EFFECT OF ORDER TIMING REDUCTION ON COORDINATING SUPPLY CHAIN INVENTORIES USING A SELECTIVE DISCOUNT STRATEGY. Journal of the Operations Research Society of Japan 53:4, pages 255-269.
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Christian Larsen. (2009) The Q(s,S) control policy for the joint replenishment problem extended to the case of correlation among item-demands. International Journal of Production Economics 118:1, pages 292-297.
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Shu-Lu Hsu. (2009) Optimal joint replenishment decisions for a central factory with multiple satellite factories. Expert Systems with Applications 36:2, pages 2494-2502.
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B.C. Cha, I.K. Moon & J.H. Park. (2008) The joint replenishment and delivery scheduling of the one-warehouse, n-retailer system. Transportation Research Part E: Logistics and Transportation Review 44:5, pages 720-730.
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Jia-Yen Huang & Ming-Jong Yao. (2008) On the coordination of maintenance scheduling for transportation fleets of many branches of a logistic service provider. Computers & Mathematics with Applications 56:5, pages 1303-1313.
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Yi-Chi Wang & Wei-Ting Cheng. (2008) A sensitivity analysis of solving joint replenishment problems using the RAND method under inaccurate holding cost estimates and demand forecasts. Computers & Industrial Engineering 55:1, pages 243-252.
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Eric Porras & Rommert Dekker. (2008) A solution method for the joint replenishment problem with correction factor. International Journal of Production Economics 113:2, pages 834-851.
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Anne L. Olsen. (2008) Inventory replenishment with interdependent ordering costs: An evolutionary algorithm solution. International Journal of Production Economics 113:1, pages 359-369.
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Moutaz Khouja & Suresh Goyal. (2008) A review of the joint replenishment problem literature: 1989–2005. European Journal of Operational Research 186:1, pages 1-16.
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Andreas Nilsson, Anders Segerstedt & Erik van der Sluis. (2007) A new iterative heuristic to solve the joint replenishment problem using a spreadsheet technique. International Journal of Production Economics 108:1-2, pages 399-405.
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M.A. Hoque. (2006) An optimal solution technique for the joint replenishment problem with storage and transport capacities and budget constraints. European Journal of Operational Research 175:2, pages 1033-1042.
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Z.P. Bayındır, Ş.İ. Birbil & J.B.G. Frenk. (2006) The joint replenishment problem with variable production costs. European Journal of Operational Research 175:1, pages 622-640.
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Eric Porras & Rommert Dekker. (2006) An efficient optimal solution method for the joint replenishment problem with minimum order quantities. European Journal of Operational Research 174:3, pages 1595-1615.
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Chi Kin Chan, Leon Yuk-on Li, Chi To Ng, Bernard Kin-sion Cheung & André Langevin. (2006) Scheduling of multi-buyer joint replenishments. International Journal of Production Economics 102:1, pages 132-142.
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Christina Nielsen & Christian Larsen. (2005) An analytical study of the Q(s,S) policy applied to the joint replenishment problem. European Journal of Operational Research 163:3, pages 721-732.
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Anne L. Olsen. (2005) An evolutionary algorithm to solve the joint replenishment problem using direct grouping. Computers & Industrial Engineering 48:2, pages 223-235.
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Qing Li. (2004) Solving the multi-buyer joint replenishment problem with the RAND method. Computers & Industrial Engineering 46:4, pages 755-762.
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Fang-Chuan Lee & Ming-Jong Yao. (2003) A global optimum search algorithm for the joint replenishment problem under power-of-two policy. Computers & Operations Research 30:9, pages 1319-1333.
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Chi Kin Chan, Bernard K.-S. Cheung & André Langevin. (2003) Solving the multi-buyer joint replenishment problem with a modified genetic algorithm. Transportation Research Part B: Methodological 37:3, pages 291-299.
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S. Viswanathan & Rajesh Piplani. (2001) Coordinating supply chain inventories through common replenishment epochs. European Journal of Operational Research 129:2, pages 277-286.
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Christian Larsen. (2007) The Q(s,S) Control Policy for the Joint Replenishment Problem Extended to the Case of Correlation Among Item-Demands. SSRN Electronic Journal.
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