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A PERIODIC-REVIEW INVENTORY SYSTEM WITH SUPPLY INTERRUPTIONS

Published online by Cambridge University Press:  22 January 2004

Zhaolin Li ,
Susan H. Xu  and
Jack Hayya
Zhaolin Li
Affiliation:
Department of Supply Chain and Information Systems, The Smeal College of Business Administration, The Pennsylvania State University, University Park, PA 16802, E-mail: shx@psu.edu
Susan H. Xu
Affiliation:
Department of Supply Chain and Information Systems, The Smeal College of Business Administration, The Pennsylvania State University, University Park, PA 16802, E-mail: shx@psu.edu
Jack Hayya
Affiliation:
Department of Supply Chain and Information Systems, The Smeal College of Business Administration, The Pennsylvania State University, University Park, PA 16802, E-mail: shx@psu.edu
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Abstract

Supply interruptions resulting from unpredictable events, such as machine breakdowns, order cancellations, unscheduled maintenance, and labor strikes can produce adverse effects on the production/inventory system. In this article, we consider a periodic-review inventory system subject to random demand and unreliable supply. The availability of supply is modeled as an alternating renewal process with general distributions for the durations of the UP and DOWN cycles. We consider the lost-sales case and also discuss the backorder case, for both the discounted and long-run average cost criteria. For the linear cost model, we derive the structural properties and bounds of the optimal policy. We also propose the “end-of-cycle” inventory return contract and show that it may be mutually beneficial to both the firm and the supplier.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 18 , Issue 1 , January 2004 , pp. 33 - 53
Copyright
© 2004 Cambridge University Press

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References

REFERENCES

Chase, M. (2000). Shortages of some antibiotics raise concerns. Wall Street Journal, February 2, 2000, p. A-4.Google Scholar
Ciarallo, F., Akella, R., & Morton, T. (1994). A periodic review production planning model with uncertain capacity and demand-optimality of extended myopic policies. Management Science 40: 320–332.Google Scholar
Gerchak, Y., Vickson, R., & Parlar, M. (1988). Periodic review production models with variable yield and uncertain demand. IIE Transactions 20: 144–150.Google Scholar
Hall. T.R. (1998). GM strikes push industrial output down 0.6%. Wall Street Journal July 17, 1998, p. A-2.Google Scholar
Hening, M. & Gerchak, Y. (1990). The structure of periodic review policies in the presence of random yield. Operations Research 38: 634–643.Google Scholar
Lee, H.L. & Nahmias, S. (1991). Single product, single location models. In S.C. Graves, A.R. Kan, & P.H. Zipkin (eds.), Handbooks in Operations Research and Management Science, 4: Logistics of Production and Inventory. Amsterdam: North Holland.
Moinzadeh, K. & Aggarwal, P. (1997). Analysis of a production/inventory system subject to random disruptions. Management Science 43: 1577–1588.Google Scholar
Ozekici, S. & Parlar, M. (1999). Inventory models with unreliable suppliers in a random environment. Annals of Operations Research 91: 123–136.Google Scholar
Parlar, M. & Berkin, D. (1991). Future supply uncertainty in EOQ models. Naval Research Logistics 38: 107–121.Google Scholar
Palar, M. & Perry, D. (1996). Inventory models of future supply uncertainty with single and multiple suppliers. Naval Research Logistics 43: 191–210.Google Scholar
Parlar, M., Wang., W., & Gerchak, Y. (1995). A periodic review inventory model with Markovian supply availability. International Journal of Production Economics 42: 131–136.Google Scholar
Pettit, D. (1995). Exar Corp: Product line is cancelled due to “supply interruptions.” Wall Street Journal May 30, 1995, p. B-5.Google Scholar
Reitman, V. (1997). Toyota Motor shows its mettle after fire destroys parts plant. Wall Street Journal May 8, 1997, p. A-1.Google Scholar
Ross, S. (1970). Applied probability models with optimization applications. San Francisco: Holden-Day.
Ross, S. (1983). Introduction to stochastic dynamic programming. Orlando, FL: Academic Press.
Ross, S. (1985). Introduction to probability models. Orlando, FL: Academic Press.
Silver, E.A., Pyke, D.F., & Peterson, R. (1998). Inventory management and production planning and scheduling, 3rd ed. New York: Wiley.
Song, J. & Zipkin, P.H. (1996). Inventory control with information about supply conditions. Management Science 42: 1409–1419.Google Scholar
Tsay, A., Nahmias, S., & Agrawal, N. (1999). Modeling supply chain contracts: A review. In S. Tayur, R. Ganeshan, & M. Magazine (eds.), Quantitative models for supply chain management. Boston, MA: Kluwer Academic.
Veinott, A. (1966). The status of mathematical inventory theory. Management Science 12: 745–775.Google Scholar
Wolff, R.W. (1989). Stochastic modeling and the theory of queues. Englewood Cliffs, NJ: Prentice-Hall.
Yano, C.A. & Lee, H.L. (1995). Lot sizing with random yields: A review. Operations Research 43: 311–334.Google Scholar