Production Control in the Face of Storable Raw Material, Random Supply, and an Outside Market

Published Online:https://doi.org/10.1287/opre.1030.0090

References

  • Arrow K., Karlin S., Scarf H.Studies in the Mathematical Theory of Inventory and Production (1958) (Stanford University Press, Stanford, CA) Google Scholar
  • Bertsimas D., Paschalidis I. C. Probabilistic service level guarantees in make-to-stock manufacturing systems. Oper. Res. (2001) 49(1):119–133LinkGoogle Scholar
  • Chen F., Zheng Y.-S. Lower bounds for multi-echelon stochastic inventory systems. Management Sci. (1994) 40:1426–1443LinkGoogle Scholar
  • Chen S., Lambrecht M. X-Y band and modified (s, S) policy. Oper. Res. (1996) 44(6):1013–1019LinkGoogle Scholar
  • Ciarallo F., Akella R., Morton T. A periodic review production planning model with uncertain capacity and uncertain demand-optimality of extended myopic policies. Management Sci. (1994) 40:320–332LinkGoogle Scholar
  • Clark A., Scarf H. Optimal policies for a multi-echelon inventory problem. Management Sci. (1960) 6:475–490LinkGoogle Scholar
  • Cohen M. A., Pekelman D. LIFO inventory systems. Management Sci. (1978) 24(11):1150–1163LinkGoogle Scholar
  • Davies T. V., James E. M.Nonlinear Differential Equations (1966) (Addison-Wesley, Reading, MA) Google Scholar
  • Evans R. Inventory control of a multiproduct system with a limited production resource. Naval Res. Logist. Quart. (1967) 5:137–154CrossrefGoogle Scholar
  • Federgruen A., Zipkin P. Computational issues in an infinite horizon, multi-echelon inventory model. Oper. Res. (1984) 32:818–836LinkGoogle 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):193–207LinkGoogle 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):208–215LinkGoogle Scholar
  • Glasserman P. Allocating production capacity among multiple products. Oper. Res. (1986) 44(5):724–734LinkGoogle Scholar
  • Gurler U., Parlar M. An inventory problem with two randomly available suppliers. Oper. Res. (1997) 45(6):904–918LinkGoogle Scholar
  • Ha A. Optimal dynamic scheduling policy for a make-to-stock production system. Oper. Res. (1997) 45:42–53LinkGoogle Scholar
  • Hanssen F., De Kok T. A two-supplier inventory model. Internat. J. Production Econom. (1999) 59:395–403CrossrefGoogle Scholar
  • Henig M., Gerchak Y. The structure of periodic review policies in the presence of random yield. Oper. Res. (1990) 38:634–643LinkGoogle Scholar
  • Karlin S., Arrow K., Karlin S., Scarf H. Optimal inventory policy for the Arrow-Harris-Marschak dynamic model. Stud. Math. Theory Inventory Production (1958) (Stanford University Press, Stanford, CA) Google Scholar
  • Khang D. B., Fujiwara O. Optimality of myopic ordering policies for inventory model with stochastic supply. Oper. Res. (2000) 48(1):181–184LinkGoogle Scholar
  • Kolman B., Trench W. F.Elementary Multivariable Calculus (1971) (Academic Press, New York and London, U.K.) Google Scholar
  • Lau H., Lau A. H. Coordinating two suppliers with offsetting lead time and price performance. J. Oper. Management (1994) 11:327–337CrossrefGoogle Scholar
  • Lau H., Zhao L. Optimal ordering policies with two suppliers when lead times and demands are all stochastic. Eur. J. Oper. Res. (1993) 68:120–133CrossrefGoogle Scholar
  • Lee H. L., Yano C. A. Production control in multi-stage systems with variable yield losses. Oper. Res. (1988) 36(2):269–279LinkGoogle Scholar
  • Nahmias S. Perishable inventory theory: A review. Oper. Res. (1982) 30:680–708LinkGoogle Scholar
  • Nahmias S., Pierskalla W. Optimal ordering policies for a product that perishes in two periods subject to stochastic demand. Naval Res. Logist. Quart. (1973) 20:207–229CrossrefGoogle Scholar
  • Nash S. G., Sofer A.Linear and Nonlinear Programming (1996) (McGraw-Hill, New York) Google Scholar
  • Parlar M., Wang Y., Gerchak Y. Periodic review inventory model with Markovian supply availability. Internat. J. Production Econom. (1995) 42(2):131–136CrossrefGoogle Scholar
  • Pena Perez A., Zipkin P. Dynamic scheduling rules for a multiproduct make-to-stock queue. Oper. Res. (1997) 45(6):919–930LinkGoogle Scholar
  • Phelps E. Optimal decision rules for procurement repair or disposal of spare parts. (1962) . RM-2920-PR, RAND Corp., Santa Monica, CAGoogle Scholar
  • Porteus E. L., Heyman D. P., Soble M. J. Stochastic inventory theory. Handbooks in Operations Research and Management Science Vol. 2: Stochastic Models (1990) (Elsevier Science Publishers B.V., North-Holland, Amsterdam, The Netherlands) 605–652Google Scholar
  • Rosling K. Optimal inventory policies for assembly systems under random demands. Oper. Res. (1989) 37:565–579LinkGoogle Scholar
  • Sedarage D., Fujiwara O., Luong H. T. Determining optimal order splitting and reorder level for N-supplier inventory systems. Eur. J. Oper. Res. (1999) 116:389–404CrossrefGoogle Scholar
  • Simpson V. P. Optimum solution structure for a repairable inventory problem. Oper. Res. (1978) 26(2):270–281LinkGoogle Scholar
  • Veatch M. H., Wein L. M. Scheduling a make-to-stock queue: Index policies and hedging points. Oper. Res. (1996) 44(4):634–647LinkGoogle Scholar
  • Veinott A. F. The status of mathematical inventory theory. Management Sci. (1966) 12:745–777LinkGoogle Scholar
  • Wang Y., Gerchak Y. Periodic review production models with variable capacity, random yield, and uncertain demand. Management Sci. (1996) 42(1):130–137LinkGoogle Scholar
  • Wein L. M. Dynamic scheduling of a multiclass make-to-stock queue. Oper. Res. (1992) 40:724–735LinkGoogle Scholar
  • Wheeden R. L., Zygmund A.Measure and Integral-An Introduction to Real Analysis (1977) (Marcel Dekker, New York and Basel, Switzerland) CrossrefGoogle Scholar
  • Yang J. Capacitated production control with virtual lateral transshipments. (2003) . Working paper, Department of Industrial and Manufacturing Engineering, New Jersey Institute of Technology, Newark, NJGoogle Scholar
  • Zheng Y.-S., Zipkin P. A queueing model to analyze the value of centralized inventory information. Oper. Res. (1990) 38:296–307LinkGoogle Scholar
  • Zipkin P.Foundations of Inventory Management (2000) (McGraw-Hill, New York) Google Scholar
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