Technical Note—Capacitated Serial Inventory Systems: Sample Path and Stability Properties Under Base-Stock Policies

References

• Asmussen S.Applied Probability and Queues (2000) 2nd ed.(Springer-Verlag, Berlin) Google Scholar
• Clark A., Scarf H. Optimal policies for a multiechelon inventory problem. Management Sci. (1960) 6(4):475–490Link, Google Scholar
• Federgruen A., Zipkin P. An inventory model with limited production capacity and uncertain demands I. The average-cost criterion. Math. Oper. Res. (1986a) 11(2):193–207Link, Google Scholar
• Federgruen A., Zipkin P. An inventory model with limited production capacity and uncertain demands II. The discounted-cost criterion. Math. Oper. Res. (1986b) 11(2):208–215Link, Google Scholar
• Glasserman P. Bounds and asymptotics for planning critical safety stocks. Oper. Res. (1997) 45(2):244-257Link, Google Scholar
• Glasserman P., Tayur S. The stability of a capacitated, multi-echelon production-inventory system under a base-stock policy. Oper. Res. (1994) 42(5):913–925Link, Google Scholar
• Glasserman P., Tayur S. Sensitivity analysis for base-stock levels in multiechelon production-inventory systems. Management Sci. (1995) 41(2):263–281Link, Google Scholar
• Glasserman P., Tayur S. A simple approximation for a multistage capacitated production-inventory system. Naval Res. Logist. (1996) 43:41–58Crossref, Google Scholar
• Janakiraman G., Muckstadt J. A. A decomposition approach for a class of capacitated serial systems. Oper. Res. (2009) 57(6):1384–1393Link, Google Scholar
• Loynes R. M. The stability of a queue with non-independent inter-arrival and service times. Math. Proc. Cambridge Philos. Soc. (1962) 58:497–520Crossref, Google Scholar
• Parker R., Kapuscinski R. Optimal policies for a capacitated two-echelon inventory system. Oper. Res. (2004) 52(5):739–755Link, Google Scholar
• Shang K., Song J. Newsvendor bounds and heuristic for optimal policies in serial supply chains. Management Sci. (2003) 49(5):618–638Link, Google Scholar
• Speck C. J., van der Wal J. The capacitated multi-echelon inventory system with serial structure: 1 The “push-ahead”-effect. (1991) . Memorandum COSOR 91-39, Eindhoven University of Technology, Eindhoven, The NetherlandsGoogle Scholar
• Tayur S. R. Computing the optimal policy for capacitated inventory models. Comm. Statist.: Stochastic Models (1992) 9(4):585–598Crossref, Google Scholar