Estimation of average backorders for an assemble-to-order system with random batch demands through extreme statistics

Naval Research Logistics

Volumn 54, Issue 1, 2007, Pages 33-45

  Lu, Yingdong ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

Extreme statistics; Inventory; Stochastic process

Indexed keywords

BATCH DEMANDS; CUSTOMER BACKORDERS; PERFORMANCE MEASURE;

INVENTORY CONTROL; STATISTICS;

MATERIALS HANDLING;

EID: 33846699374     PISSN: 0894069X     EISSN: 15206750     Source Type: Journal    
DOI: 10.1002/nav.20174     Document Type: Article

References (22)

1. Y. Akcay and S. Xu, Joint inventory replenishment and component allocation optimization in an assemble-to-order system, Manage Sci 50 (2004), 99-116.
2. S. Asmussen, Applied Probability and Queues, 2nd ed., Springer-Verlag, 2002.
3. F. Cheng, M. Ettl, G. Lin, and D.D. Yao, Inventory-service optimization in configure-to-order systems, M SOM, 4(2002), 114-132.
4. V. de la Pena, and E. Gine, Decoupling: From Dependence to Independence. Springer-Verlag, New York, 1999.
5. P. Glasserman, and Y., Wang, Leadtime-inventory tradeoffs in assemble-to-order systems, Oper Res 46 (1998), 858-871.
6. J. Gallien, L., and Wein, A simple and effective component procurement policy for stochastic assembly systems, Questa 38(2001), 221-248.
7. G. Glasserman, Bounds and asymptotics for planning critical safety stocks, Oper Res 45 (1997), 244-257.
8. W.H. Hausman, Minimizing customer line items backordered in inventory control, Manage Sci 15 (12) (1969), B628-B634.
9. W.H., Hausman, H.L. Lee, and A.X., Zhang, Order response time reliability in a multi-item inventory system, Eur J Oper Res 109 (1998), 646-659.
10. A.J. Kaplan, Computing expected values of customer requests backordered, Manage Sci 17(9)(1971), 647-651.
11. M.R., Leadbetter, G., Lindgren, and H. Rootzen, Extremes and Related Properties of Random Sequences and Processes, Springer Series in Statistics, Springer-Verlag, 1982.
12. Y., Lu, J., Song, and D.D. Yao, Order fill rate, leadtime variability, and advance demand information in an assemble-to-order system, Oper Res 51(2)(2003), 292-308.
13. Y. Lu, J. Song, and D.D. Yao, Backorder minimization in multiproduct assemble-to-order systems, HE Trans 37(8) (2005), 763-774.
14. Lu, Y., and J. Song Order-based cost structure and its optimization in an assemble-to-order system, Oper Res 53(1) (2005), 151-169.
15. J.S., Song The effect of lead time uncertainty in a simple stochastic inventory model, Manage Sci 40 (1994), 603-613.
16. J.S., Song, Order-based backorders and their implications in multi-item inventory systems, Manage Sci 48 (2002), 499-516.
17. J.S., Song, On the order fill rate in a multi-item, base-stock inventory system, Oper Res 46 (1998), 831-845.
18. J. Song, and D.D., Yao, Performance analysis and optimization in assemble-to-order systems with random leadtimes, Oper Res 50 (2002), 889-903.
19. J. Song, and P., Zipkin, Supply chain operations: Assemble-to-order systems, Chapter XI of Supply Chain Management, T. De Kok and S. Graves, editors Handbooks in Operations Research and Management Science, North-Holland. 2003.
20. A.X. Zhang, Decentralized order-up-to policies in an assemble-to-order system with a single product, preprint, 1995.
21. A.X. Zhang, Demand fulfillment rates in an assemble-to-order system with multiple products and dependent demands, Prod Oper Manage 6 (1997), 309-324.
22. P., Zipkin, Foundations of Inventory Management, Irwin/McGraw, New York, 2000.