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The Joint Stock and Capacity Rationings of a Make-To-Stock System with Flexible Demand

Author

Listed:
  • Bing Lin

    (Department of Logistics, School of Business, Jiangsu Normal University, Xuzhou 221116, P. R. China)

  • Shaoxiang Chen

    (Division of Information Technology and Operations Management, Nanyang Business School, Nanyang Technological University, Nanyang Avenue 639798, Singapore)

  • Yi Feng

    (School of Management and Economics, University of Electronic Science and Technology of China, Chengdu 610054, P. R. China)

  • Jianjun Xu

    (International Business College and Institute of Supply Chain Analytics, Dongbei University of Finance & Economics, Dalian 116025, P. R. China)

Abstract

This paper studies the joint stock and production capacity rationing polices for a make-to-stock system with two partially substitutable products manufactured at two factories, respectively. Customers are classified into three types with each type further segmented into multiple classes. Type I and Type II customers are selective and accept their favorite products only. Type III accepts either of the two products and hence its demand is regarded as the flexible demand. The management has to decide whether to run or stop production and whether the various classes of demand for each type of customers have to be satisfied from available inventory or not — in which case demand is lost — in order to minimize the firm’s inventory and production costs. We formulate the problem as a make-to-stock queue system and characterize the optimal joint stock and production rationing policies as monotone switching curves. Numerical examples are given to illustrate the optimal policies and demonstrate the value of flexible demand. Moreover, we develop a simple heuristic policy and compare the costs associated with the optimal and heuristic policies for different parameters.

Suggested Citation

  • Bing Lin & Shaoxiang Chen & Yi Feng & Jianjun Xu, 2018. "The Joint Stock and Capacity Rationings of a Make-To-Stock System with Flexible Demand," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(01), pages 1-27, February.
    • Handle: RePEc:wsi:apjorx:v:35:y:2018:i:01:n:s0217595918500045
    DOI: 10.1142/S0217595918500045
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    References listed on IDEAS

    as
    1. Sven Axsäter & Marcel Kleijn & Ton de Kok, 2004. "Stock Rationing in a Continuous Review Two-Echelon Inventory Model," Annals of Operations Research, Springer, vol. 126(1), pages 177-194, February.
    2. Boray Huang & Seyed M. R. Iravani, 2008. "Technical Note---A Make-to-Stock System with Multiple Customer Classes and Batch Ordering," Operations Research, INFORMS, vol. 56(5), pages 1312-1320, October.
    3. Hasan Arslan & Stephen C. Graves & Thomas A. Roemer, 2007. "A Single-Product Inventory Model for Multiple Demand Classes," Management Science, INFORMS, vol. 53(9), pages 1486-1500, September.
    4. S. Rajagopalan & Andreas C. Soteriou, 1994. "Capacity Acquisition and Disposal with Discrete Facility Sizes," Management Science, INFORMS, vol. 40(7), pages 903-917, July.
    5. Vinayak Deshpande & Morris A. Cohen & Karen Donohue, 2003. "A Threshold Inventory Rationing Policy for Service-Differentiated Demand Classes," Management Science, INFORMS, vol. 49(6), pages 683-703, June.
    6. Hui Zhao & Vinayak Deshpande & Jennifer K. Ryan, 2005. "Inventory Sharing and Rationing in Decentralized Dealer Networks," Management Science, INFORMS, vol. 51(4), pages 531-547, April.
    7. Wang, Daqin & Tang, Ou, 2014. "Dynamic inventory rationing with mixed backorders and lost sales," International Journal of Production Economics, Elsevier, vol. 149(C), pages 56-67.
    8. Xu, Jianjun & Serrano, Alejandro & Lin, Bing, 2017. "Optimal production and rationing policy of two-stage tandem production system," International Journal of Production Economics, Elsevier, vol. 185(C), pages 100-112.
    9. Brian Tomlin, 2006. "On the Value of Mitigation and Contingency Strategies for Managing Supply Chain Disruption Risks," Management Science, INFORMS, vol. 52(5), pages 639-657, May.
    10. Teunter, Ruud H. & Klein Haneveld, Willem K., 2008. "Dynamic inventory rationing strategies for inventory systems with two demand classes, Poisson demand and backordering," European Journal of Operational Research, Elsevier, vol. 190(1), pages 156-178, October.
    11. Karen L. Donohue, 2000. "Efficient Supply Contracts for Fashion Goods with Forecast Updating and Two Production Modes," Management Science, INFORMS, vol. 46(11), pages 1397-1411, November.
    12. Saif Benjaafar & Mohsen ElHafsi, 2006. "Production and Inventory Control of a Single Product Assemble-to-Order System with Multiple Customer Classes," Management Science, INFORMS, vol. 52(12), pages 1896-1912, December.
    13. Manu Goyal & Serguei Netessine, 2011. "Volume Flexibility, Product Flexibility, or Both: The Role of Demand Correlation and Product Substitution," Manufacturing & Service Operations Management, INFORMS, vol. 13(2), pages 180-193, March.
    14. Morris A. Cohen & Paul R. Kleindorfer & Hau L. Lee, 1988. "Service Constrained (s, S) Inventory Systems with Priority Demand Classes and Lost Sales," Management Science, INFORMS, vol. 34(4), pages 482-499, April.
    15. Zeynep Turgay & Fikri Karaesmen & E. Örmeci, 2015. "A dynamic inventory rationing problem with uncertain demand and production rates," Annals of Operations Research, Springer, vol. 231(1), pages 207-228, August.
    16. Donald M. Topkis, 1968. "Optimal Ordering and Rationing Policies in a Nonstationary Dynamic Inventory Model with n Demand Classes," Management Science, INFORMS, vol. 15(3), pages 160-176, November.
    17. Steven Nahmias & W. Steven Demmy, 1981. "Operating Characteristics of an Inventory System with Rationing," Management Science, INFORMS, vol. 27(11), pages 1236-1245, November.
    18. Felix Papier & Ulrich W. Thonemann, 2010. "Capacity Rationing in Stochastic Rental Systems with Advance Demand Information," Operations Research, INFORMS, vol. 58(2), pages 274-288, April.
    19. Weihua Zhou & Chung‐Yee Lee & David Wu, 2011. "Optimal control of a capacitated inventory system with multiple demand classes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(1), pages 43-58, February.
    20. Albert Y. Ha, 2000. "Stock Rationing in an M/E k /1 Make-to-Stock Queue," Management Science, INFORMS, vol. 46(1), pages 77-87, January.
    21. Önder Bulut & Mehmet Fadiloğlu, 2011. "Production control and stock rationing for a make-to-stock system with parallel production channels," IISE Transactions, Taylor & Francis Journals, vol. 43(6), pages 432-450.
    22. FadIloglu, Mehmet Murat & Bulut, Önder, 2010. "A dynamic rationing policy for continuous-review inventory systems," European Journal of Operational Research, Elsevier, vol. 202(3), pages 675-685, May.
    23. Arthur F. Veinott, 1965. "Optimal Policy in a Dynamic, Single Product, Nonstationary Inventory Model with Several Demand Classes," Operations Research, INFORMS, vol. 13(5), pages 761-778, October.
    24. Albert Y. Ha, 1997. "Inventory Rationing in a Make-to-Stock Production System with Several Demand Classes and Lost Sales," Management Science, INFORMS, vol. 43(8), pages 1093-1103, August.
    25. Zhan Pang & Houcai Shen & T. C. E. Cheng, 2014. "Inventory Rationing in a Make-to-Stock System with Batch Production and Lost Sales," Production and Operations Management, Production and Operations Management Society, vol. 23(7), pages 1243-1257, July.
    26. Shaoxiang Chen & Jianjun Xu & Youyi Feng, 2010. "A partial characterization of the optimal ordering/rationing policy for a periodic review system with two demand classes and backordering," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(4), pages 330-341, June.
    27. Francis de Véricourt & Fikri Karaesmen & Yves Dallery, 2002. "Optimal Stock Allocation for a Capacitated Supply System," Management Science, INFORMS, vol. 48(11), pages 1486-1501, November.
    28. Albert Y. Ha, 1997. "Stock‐rationing policy for a make‐to‐stock production system with two priority classes and backordering," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(5), pages 457-472, August.
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