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Integrated Inventory Allocation and Customer Order Admission Control in a Two-stage Supply Chain with Make-to-stock and Make-to-order Facilities  

Kim, Eun-Gab (이화여자대학교 경영대학)
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Abstract
This paper considers a firm that operates make-to-stock and make-to-order facilities in successive stages. The make-to-stock facility produces components which are consumed by the external market demand as well as the internal make-to-order operation. The make-to-order facility processes customer orders with the option of acceptance or rejection. In this paper, we address the problem of coordinating how to allocate the capacity of the make-to-stock facility to internal and external demands and how to control incoming customer orders at the make-to-order facility so as to maximize the firm's profit subject to the system costs. To deal with this issue, we formulate the problem as a Markov decision process and characterize the structure of the optimal inventory allocation and customer order control. In a numerical experiment, we compare the performance of the optimal policy to the heuristic with static inventory allocation and admission control under different operating conditions of the system.
Keywords
Two-stage Supply Chain; Inventory Allocation; Admission Control; Coordination; Inventory Control;
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1 Veatch, M. and L. Wein, "Monotonic control of queueing networks," Queueing Systems, Vol.12(1992), pp.391-408.   DOI
2 Song, J. and D. Yao, "Performance analysis and optimization of assemble-to-order systems with random lead times," Operations Research, Vol.50(2002), pp.889-903.   DOI   ScienceOn
3 Teunter, R. and W. Haneveld, "Dynamic inventory rationing strategies for inventory systems with two demand classes, Poisson demand and backordering," European Journal of Productional Research, Vol.190(2008), pp.156-178.
4 Veatch, M. and L. Wein, "Optimal control of a two-station tandem production/inventory system," Operation Research, Vol.42 (1994), pp.337-350.   DOI   ScienceOn
5 Benjaafar, S. and M. Elhafsi, "Production and inventory control of a single product assemble-to-order system with multiple customer classes," Management Science, Vol. 52(2006), pp.1896-1912.   DOI   ScienceOn
6 Elhafsi, M., "Optimal integrated production and inventory control of an assemble-toorder system with multiple non-unitary demand classes," European Journal of Productional Research, Forthcoming.
7 Carr, S. and I. Duenyas, "Optimal Admission Control and Sequencing in a Make-To- Stock/Make-To-Order Production System," Operations Research, Vol.48(2000), pp.709-720.   DOI   ScienceOn
8 Dallery, Y. and S. Gershwin, "Manufacturing flow line systems : A review of models and analytical result," Queueing Systems, Vol.12(1992), pp.3-94.   DOI
9 Puterman, M., Markov Decision Processes, John Wiley and Sons, 2005.
10 de Vericourt, F. and Y. Karaesmen, "Stock allocation for a capacitated supply chain," Management Science, Vol.48(2002), pp.486-1501.
11 Ha, A.Y., "Inventory rationing in a maketo- stock production system with several demand classes and lost sales," Management Science, Vol.43(1997a), pp.1093-1103.   DOI   ScienceOn
12 Ha, A.Y., "Stock rationing policy for a make-to-stock production system with two priority classes and backordering," Naval Research Logistics, Vol.44(1997b), pp.457-472.   DOI   ScienceOn
13 Muckstadt, J.A. and S.R. Tayur, "A Comparison of Alternative Kanban Control Mechanisms. I. Background and Structural Results," IIE Transactions, Vol.27(1995), pp.140-150.   DOI   ScienceOn
14 Porteus, E., "Conditions for Characterizing the Structure of Optimal Strategies in Infinite- Horizon Dynamic Programs," Journal of Optimization Theory and Applications, Vol.36(1982), pp.419-432.   DOI   ScienceOn