Optimal Policy for a Periodic-Review Inventory System Under a Supply Capacity Contract

References

• Bensoussan A., Crouhy M., Proth J.-M.Mathematical Theory of Production Planning (1983) (North-Holland, Amsterdam, The Netherlands) Google Scholar
• Chao X., Zipkin P. Optimal inventory control under supply capacity contract. (2002) . Research report, Department of Industrial Engineering, North Carolina State University, Raleigh, NCGoogle Scholar
• Chen Y., Sethi S., Zhang H. A production-inventory problem for an energy buy-back program. IEEE Trans. Automation Sci. Engrg. (2007) 4:395–406Crossref, Google Scholar
• Federgruen A., Zipkin P. An inventory model with limited production capacity and uncertain demands II. The discounted cost criterion. Math. Oper. Res. (1986) 11:208–215Link, Google Scholar
• Gallego G., Scheller-Wolf A. Capacitated inventory problems with fixed order costs: Some optimal policy structure. Eur. J. Oper. Res. (2000) 126:603–613Crossref, Google Scholar
• Henig M., Gerchak Y., Ernst R., Pyke D. An inventory model embedded in designing a supply contract. Management Sci. (1997) 43:184–189Link, Google Scholar
• Heyman D., Sobel M.Stochastic Models in Operations Research, Vol II: Stochastic Optimization (1984) (McGraw-Hill, New York) Google Scholar
• Karlin S., Arrow K., Karlin S., Scarf H. Optimal inventory policy for the Arrow-Harris-Marschak dynamic model. Studies in the Mathematical Theory of Inventory and Production (1958) (Stanford University Press, Stanford, CA) 135–154Google Scholar
• Porteus E. On the optimality of the generalized (s, S) policies. Management Sci. (1971) 17:411–426Link, Google Scholar
• Porteus E., Heyman D. P., Sobel M. J. Stochastic inventory theory. Handbook in Operations Research and Management Science (1990) 2(Elsevier, Amsterdam, The Netherlands) 605–652Chaper 12Google Scholar
• Puterman M. L.Markov Decision Processes (1994) (John Wiley & Sons, New York) Crossref, Google Scholar
• Scarf H., Arrow K. J., Karlin S., Suppes P. The optimality of (S, s) policy in the dynamic inventory problem. Mathematical Methods in the Social Sciences (1960) (Stanford University Press, Stanford, CA) 196–202Google Scholar
• Sennott L. I.Stochastic Dynamic Programming and the Control of Queueing Systems (1999) (John Wiley & Sons, New York) Google Scholar
• Shaoxiang C. The infinite horizon periodic review problem with setup costs and capacity constraints: A partial characterization of the optimal policy. Oper. Res. (2004) 52:409–421Link, Google Scholar
• Shaoxiang C., Lambrecht M. X-Y band and modified (s, S) policy. Oper. Res. (1996) 44:1013–1019Link, Google Scholar
• Veinott A. On the optimality of (s, S) policies: New conditions and a new proof. SIAM J. Appl. Math. (1966) 14:1067–1083Crossref, Google Scholar
• Veinott A., Wagner H. Computing optimal (s, S) inventory policies. Management Sci. (1965) 11:525–552Link, Google Scholar
• Wald M. Utilities try new ways to vary energy pricing. New York Times (2000) . (July 17) business section, front pageGoogle Scholar
• Yano C., Gerchak Y. Transportation contracts and safety stocks for just-in-time deliveries. J. Manufacturing Oper. Management (1989) 2:314–330Google Scholar
• Zipkin P.Foundations of Inventory Management (2000) (Irwin/McGraw-Hill, Boston, MA) Google Scholar