Probabilistic Service Level Guarantees in Make-to-Stock Manufacturing Systems

References

• Avram F., Bertsimas D., Ricard M., Kelly F. P., Williams R. Optimization of multiclass fluid queueing networks: a linear control approach. (1995) Proceedings of the IMA:199–234Google Scholar
• Abate J., Choudhury G. L., Whitt W. Exponential approximations for tail probabilities in queues, I: Waiting times. Oper. Res. (1995) 43(5):885–901Link, Google Scholar
• Akella R., Kumar P. R. Optimal Control of production rate in a failure prone manufacturing system. IEEE Trans. Automat. Control (1986) AC-31:116–126Crossref, Google Scholar
• Bertsekas D. P.Dynamic Programming and Optimal Control (1995) I(Athena Scientific, Belmont, MA) Google Scholar
• Bertsimas D., Paschalidis I. Ch., Tsitsiklis J. N. Asymptotic buffer overflow probabilities in multiclass multiplexers: An optimal control approach. IEEE Trans. Automat. Control (1998a) 43(3):315–335Crossref, Google Scholar
• Bertsimas D., Paschalidis I. Ch., Tsitsiklis J. N. On the large deviations behaviour of acyclic networks of G/G/1 queues. The Ann. Appl. Probab. (1998b) 8(4):1027–1069Crossref, Google Scholar
• Bertsimas D., Paschalidis I. Ch., Tsitsiklis J. N. Large deviations analysis of the generalized processor sharing policy. Queueing Systems (1999) 32:319–349Crossref, Google Scholar
• Cramér H. Sûr un nouveau théorème-limite de la théorie des probabilités. (1938) . In Actualiés Scientifique et Industrielles, no. 736 in Colloque consacré à la théorie des probabilités, pages 5–23, Hermann, ParisGoogle Scholar
• de Véricourt F., Karaesmen F., Dallery Y. Dynamic scheduling in a make-to-stock system: A partial characterization of optimal policies. Oper. Res. (1998) 48(5):811–819Link, Google Scholar
• Dembo A., Zeitouni O.Large Deviations Techniques and Applications (1993) (Jones and Bartlett, Boston, MA) Google Scholar
• Evans R. Inventory control of a multiproduct system with a limited production resource. Naval Res. Logist (1967) 173–184Crossref, Google Scholar
• Federgruen A., Zipkin P. An inventory model with limited production capacity and uncertain demands I. The average cost criterion. Math. Oper. Res. (1986) 11(2):193–207Link, Google Scholar
• Gavish B., Graves S. A one-product production/inventory problem under continuous review policy. Oper. Res. (1980) 28:1228–1236Link, Google Scholar
• Glasserman P. Allocating production capacity among multiple products. Oper. Res. (1996) 44(5):724–734Link, Google Scholar
• Glasserman P. Bounds and asymptotics for planning critical safety stocks. Oper. Res. (1997) 45(2):244–257Link, Google Scholar
• Glasserman P., Wang Y. Fill-rate bottlenecks in production-inventory networks. (1998) . Working paperGoogle Scholar
• Glynn P. W., Whitt W. Logarithmic asymptotics for steady-state tail probabilities in a single-server queue. J. Appl. Probab. (1994) 31A:131–156Crossref, Google Scholar
• Ha A.Y. Optimal dynamic scheduling policy for a make-to-stock production system. Oper. Res. (1997) 45(1):42–53Link, Google Scholar
• Krämer W., Langenbach-Belz M. Approximate formulae for the delay in the queueing system GI/G/1. (1976) Proceedings 8th International Teletraffic CongressMelbourneGoogle Scholar
• Kapuscinski R., Tayur S. R., Tayur S. R., Ganeshan R., Magazine M. Optimal policies and simulation based optimization for capacitated production inventory systems. Quantitative Models for Supply Chain Management (1999) (Kluwer, The Netherlands) 7–40Crossref, Google Scholar
• Meyn S. P. Stability and optimization of queueing networks and their fluid models. (1996) Proceedings of the Summer Seminar on The Mathematics of Stochastic Manufacturing SystemsWilliamsburg, VA:17–21Google Scholar
• Paschalidis I. Ch. Large deviations in high speed communication networks. (1996) (Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA) Google Scholar
• Paschalidis I. Ch. A multiclass queue under the generalized longest queue first policy: Bounds on the overflow probabilities. (1998) . Unpublished manuscriptGoogle Scholar
• Peña Perez A., Zipkin P. Dynamic scheduling rules for a multiproduct make-to-stock queue. Oper. Res. (1997) 45(6):919–930Link, Google Scholar
• Rockafellar R. T.Convex Analysis (1970) (Princeton University Press, Princeton, NJ) Crossref, Google Scholar
• Sobel M. The optimality of full-service policies. Oper. Res. (1982) 30:636–649Link, Google Scholar
• Spearman M. L., Zhang R. Q. Optimal lead time policies. Management Sci. (1999) 45(2):290–295Link, Google Scholar
• Tijms H. C.Stochastic Modelling and Analysis: A Computational Approach (1986) (Wiley, New York) Google Scholar
• Veatch M. H., Wein L. M. Scheduling a make-to-stock queue: Index policies and hedging points. Oper. Res. (1996) 44(4):643–647Link, Google Scholar
• Wein L. M. Dynamic scheduling of a multiclass make-to-stock queue. Oper. Res. (1992) 40:724–735Link, Google Scholar
• Zheng Y.-S., Zipkin P. A queueing model to analyze the value of centralized inventory information. Oper. Res. (1990) 38(2):296–307Link, Google Scholar