Control of M/Cox-2/s make-to-stock systems

Özgün Yücel, Önder Bulut

Abstract


This study considers a make-to-stock production system with multiple identical parallel servers, fixed production start-up costs and lost sales. Processing times are assumed to be two-phase Coxian random variables that allows us to model the systems having rework or remanufacturing operations. First, the dynamic programming formulation is developed and the structure of the optimal production policy is characterized. Due to the highly dynamic nature of the optimal policy, as a second contribution we propose an easy-to-apply production policy. The proposed policy makes use of the dynamic state information and controlled by only two parameters. We test the performance of the proposed policy at several instances and reveal that it is near optimal. We also assess the value of dynamic state information in general by comparing the proposed policy with the well-known static inventory position based policy.


Keywords


Make-to-stock; Dynamic programming; Production control; Multi-server systems; Phase-type production times

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References


Gavish, B., Graves, S.C., (1980), A one-product production/inventory problem under continuous review policy, Operations Research, 28(5), 1228-1236.

Heyman, D. P., (1968). Optimal operating policies for M/G/1 queuing systems, Operations Research, 16(2), 362-382.

Sobel, M. J., (1969), Optimal average-cost policy for a queue with start-up and shut-down costs, Operations Research, 17(1), 145-162.

Gavish, B., Graves, S.C., (1981), Production/Inventory Systems with a Stochastic Production Rate under a Continuous Review Policy, Computers & Operations Research, 8(3), 169-183.

Graves, S. C., Keilson, J., (1981), The compensation method applied to a one-product production/inventory problem. Mathematics of Operations Research, 6(2), 246-262.

Lee, H.S., Srinivasan, M.M., (1989), The Continuous Review (s, S) Policy for Production/Inventory Systems with Poisson Demands and Arbitrary Processing Times, Technical Report, 87-33.

Lee, H.S., Srinivasan, MM., (1991), Random Review Production/Inventory Systems with Compound Poisson Demands and Arbitrary Processing Times, Management Science, 37(7), 813-833.

Bulut, Ö., & Fadiloğlu, M. M., (2011), Production control and stock rationing for a make-to-stock system with parallel production channels, IIE Transactions, 43(6), 432-450.

Ha, A. Y., (1997a), Inventory rationing in a make-to-stock production system with several demand classes and lost sales. Management Science, 43(8), 1093-1103.

Ha, A.Y., (1997b), Stock rationing policy for a make-to-stock production system with two priority classes and backordering, Naval Research Logistics, 43, 458-472.

Ha, A. Y., (2000), Stock rationing in an M/Ek/1 make-to-stock queue, Management Science, 46(1) 77-87.

Gayon, J. P., De Vericourt, F., Karaesmen, F., (2009), Stock rationing in an M/Er /1 multi-class make-to-stock queue with backorders, IIE Transactions, 41(12), 1096-1109.

Rafiei, H., Rabbani, M., Vafa-Arani, H., & Bodaghi, G. (2017). Production-inventory analysis of single-station parallel machine make-to-stock/make-to-order system with random demands and lead times. International Journal of Management Science and Engineering Management, 12(1), 33-44.

Lippman, S., (1975), Applying a new device in the optimization of exponential queuing systems, Operations Research, 23, 687-710.




DOI: http://dx.doi.org/10.11121/ijocta.01.2020.00801

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