Optimal inventory replenishment policy for a queueing system with finite waiting room capacity

European Journal of Operational Research

Volumn 161, Issue 1, 2005, Pages 256-274

  Kim, Eungab ^a  

^a Ewha Womans University   (South Korea)

Author keywords

Finite queueing system; Inventory management; Markov decision process; Optimal control

Indexed keywords

COSTS; DECISION MAKING; MARKOV PROCESSES; OPTIMAL CONTROL SYSTEMS; PUBLIC POLICY; QUEUEING NETWORKS; SALES;

FINITE QUEUEING SYSTEMS; INVENTORY MANAGEMENT; MARKOV DECISION PROCESS;

INVENTORY CONTROL;

EID: 5144231414     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2002.12.001     Document Type: Conference Paper

References (17)

1. Axsäter A. Continuous review policies for multi-level inventory systems with stochastic demand. Handbooks in OR & MS. 4:1993;175-197.
2. Berman O., Kaplan E., Shimshak D.G. Deterministic approximations for inventory management at service facilities. IIE Transactions. 25(5):1993;98-104.
3. Berman O., Kim E. Stochastic models for inventory management at service facilities. Communications in Statistics-Stochastic Model. 15(4):1999;695-718.
4. Berman O., Sapna K.P. Inventory management at Service facilities for systems with arbitrary distributed service times. Communications in Statistics-Stochastic Models. 16(3):2000;343-360.
5. Bertsekas D.P. Dynamic Programming: Deterministic and Stochastic Models. 1987;Prentice-Hall, Englewood Cliffs.
6. Glasserman P., Yao D. Monotone optimal control of permutable GSMPs. Mathematics of Operations Research. 19:1994;449-476.
7. Ha A.Y. Optimal dynamic scheduling policy for a make-to-stock production system. Operations Research. 45:1997;42-53.
8. He Q., Jewkes E.M. Performance measure of a make-to-order inventory-production system. IIE Transactions. 32:2000;409-419.
9. He Q., Jewkes E.M., Buzacott J. Optimal and near-optimal inventory control policies for a make-to-order inventory-production system. European Journal of Productional Research. 141:2002;113-132.
10. He Q., Jewkes E.M., Buzacott J. The value of information used in inventory control of a make-to-order inventory-production system. IIE Transactions. 34:2002;999-1013.
11. Kim E., Van Oyen M.P. Beyond the. cμ rule: Dynamic scheduling of a two-class loss queue Mathematical Methods of Operations Research. 48(1):1998;17-36.
12. Kim E., Van Oyen M.P. Dynamic scheduling to minimize lost sales subject to set-up costs. Queueing Systems: Theory and Applications. 29:1998;193-229.
13. Kim E., Van Oyen M.P., Rieders M. General dynamic programming algorithms applied to polling systems. Communications in Statistics-Stochastic Models. 14(5):1998;1197-1221.
14. Lu F.V., Serfozo R.F. M/M/1 queueing decision processes with monotone hysteretic optimal policies. Operations Research. 32(5):1984;1116-1132.
15. Suk J.B., Cassandras C.G. Optimal scheduling of two competing queues with blocking. IEEE Transactions on Automatic Control. 36:1991;1086-1091.
16. Topkis D.M. Minimizing a submodular function on a lattice. Operations Research. 26(2):1978;305-321.
17. Veatch M., Wein L. Monotonic control of queueing networks. Queueing Systems: Theory and Applications. 12:1992;391-408.