Asymptotic Optimality of Order-Up-To Policies in Lost Sales Inventory Systems

Published Online:https://doi.org/10.1287/mnsc.1080.0945

References

  • Bertsekas D.Dynamic Programming and Optimal Control (1995) 2(Athena Scientific, Nashua, NH) Google Scholar
  • Downs B., Metters R., Semple S. Managing inventory with multiple products, lags in delivery, resource constraints and lost sales: A mathematical programming approach. Management Sci. (2001) 47(3):464–479LinkGoogle Scholar
  • Huh W. T., Janakiraman G., Muckstadt J. A., Rusmevichientong P. An adaptive algorithm for finding the optimal base-stock policy in lost sales inventory systems with censored demand. (2006) . Working paper, Cornell University, Ithaca, NYGoogle Scholar
  • Janakiraman G., Roundy R. O. Lost-sales problems with stochastic lead times: Convexity results for base-stock policies. Oper. Res. (2004) 52(5):795–803LinkGoogle Scholar
  • Janakiraman G., Seshadri S., Shanthikumar G. A comparison of the optimal costs of two canonical inventory systems. Oper. Res. (2007) 55(5):866–875LinkGoogle Scholar
  • Karlin S., Scarf H., Arrow K. J., Karlin S., Scarf H. Inventory models of the arrow-harris-marschak type with time lag. Studies in the Mathematical Theory of Inventory and Production (1958) (Stanford University Press, Palo Alto, CA) 155–178Chap. 9Google Scholar
  • Karush W. A queuing model for an inventory problem. Oper. Res. (1957) 5(5):693–703LinkGoogle Scholar
  • Levi R., Janakiraman G., Nagarajan M. A 2-approximation algorithm for stochastic inventory control models with lost-sales. Math. Oper. Res. (2008) 33(2):351–374LinkGoogle Scholar
  • Levi R., Pal M., Roundy R. O., Shmoys D. B. Approximation algorithms for stochastic inventory control models. Math. Oper. Res. (2007) 32(2):284–302LinkGoogle Scholar
  • Morton T. E. Bounds on the solution of the lagged optimal inventory equation with no demand backlogging and proportional costs. SIAM Rev. (1969) 11(4):572–596CrossrefGoogle Scholar
  • Morton T. E. The near-myopic nature of the lagged-proportional-cost inventory problem with lost sales. Oper. Res. (1971) 19(7):1708–1716LinkGoogle Scholar
  • Nahmias S. Simple approximations for a variety of dynamic leadtime lost-sales inventory models. Oper. Res. (1979) 27(5):904–924LinkGoogle Scholar
  • Reiman M. I. A new and simple policy for the continuous review lost sales inventory model. (2004) . Working paper, Bell Laboratories, Murray Hill, NJGoogle Scholar
  • Ross S. M., Shanthikumar J. G., Zhu Z. On increasing-failure-rate random variables. J. Appl. Probab. (2005) 42(3):797–809CrossrefGoogle Scholar
  • Shaked M., Shanthikumar J. G.Stochastic Orders and Their Applications (1994) (Academic Press, St. Louis) Google Scholar
  • Zipkin P. Old and new methods for lost-sales inventory systems. Oper. Res. (2008a) 56(5):1256–1263LinkGoogle Scholar
  • Zipkin P. On the structure of lost-sales inventory models. Oper. Res. (2008b) 56(4):937–944LinkGoogle Scholar
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