Exploiting Random Lead Times for Significant Inventory Cost Savings

References

• Ang M, Sigman K, Song J-S, Zhang H (2017) Closed-form approximations for optimal (r, q) and (S,T) policies in a parallel processing environment. Oper. Res. 65(5):1414–1428.Link, Google Scholar
• Bashyam S, Fu MC (1998) Optimization of (s, S) inventory systems with random lead times and a service level constraint. Management Sci. 44(12-part-2):S243–S256.Google Scholar
• Beckmann MJ, Srinivasan SK (1987) An (s, S) inventory system with Poisson demands and exponential lead time. OR Spectrum 9(4):213–217.Crossref, Google Scholar
• Bradley JR, Robinson LW (2005) Improved base-stock approximations for independent stochastic lead times with order crossover. Manufacturing Service Oper. Management 7(4):319–329.Link, Google Scholar
• Bramson M (2008) Stability of Queueing Networks (Springer, Berlin Heidelberg).Google Scholar
• Dai JG (1995) On the positive Harris recurrence for multiclass queueing networks: A unified approach via fluid models. Ann. Appl. Probab. 5:49–77.Crossref, Google Scholar
• Disney SM, Maltz A, Wang X, Warburton RDH (2016) Inventory management for stochastic lead times with order crossovers. Eur. J. Oper. Res. 248(2):473–486.Crossref, Google Scholar
• Feeney GJ, Sherbrooke CC (1966) The (S − 1, S) inventory policy under compound Poisson demand. Management Sci. 12(5):391–411.Link, Google Scholar
• He XX, Xu SH, Ord JK, Hayya JC (1998) An inventory model with order crossover. Oper. Res. 46(3-supplement-3):S112–S119.Google Scholar
• Huh WT, Rusmevichientong P (2009) A nonparametric asymptotic analysis of inventory planning with censored demand. Math. Oper. Res. 34(1):103–123.Link, Google Scholar
• Karlin S, Scarf H (1958) Inventory models of the Arrow-Harris-Marschak type with time lag. Arrow KJ, Karlin S, Scarf HE, eds. Studies in the Mathematical Theory of Inventory and Production. (Stanford University Press, Redwood City, CA), 155–178.Google Scholar
• Lindvall T (1992) Lectures on the Coupling Method (Dover, Mineola, New York).Google Scholar
• Meyn SP, Tweedie RL (1993) Markov Chains and Stochastic Stability (Springer, London).Crossref, Google Scholar
• Muharremoglu A, Yang N (2010) Inventory management with an exogenous supply process. Oper. Res. 58(1):111–129.Link, Google Scholar
• Pang G, Stolyar AL (2016) A service system with on-demand agent invitations. Queueing Systems Theory Appl. 82(3–4):259–283.Google Scholar
• Pang G, Talreja R, Whitt W (2007) Martingale proofs of many-server heavy-traffic limits for Markovian queues. Probab. Surveys 4:193–267.Crossref, Google Scholar
• Robinson LW, Bradley JR (2008) Note—Further improvements on base-stock approximations for independent stochastic lead times with order crossover. Manufacturing Service Oper. Management 10(2):325–327.Link, Google Scholar
• Robinson LW, Bradley JR, Thomas LJ (2001) Consequences of order crossover under order-up-to inventory policies. Manufacturing Service Oper. Management 3(3):175–188.Link, Google Scholar
• Rybko A, Stolyar A (1992) Ergodicity of stochastic processes describing the operation of open queueing networks. Problems Inform. Transmission 28(3):199–200.Google Scholar
• Song J-S, Zipkin PH (1996a) Inventory control with information about supply conditions. Management Sci. 42(10):1409–1419.Link, Google Scholar
• Song J-S, Zipkin PH (1996b) The joint effect of leadtime variance and lot size in a parallel processing environment. Management Sci. 42(9):1352–1363.Link, Google Scholar
• Stolyar AL (1995) On the stability of multiclass queueing networks: A relaxed sufficient condition via limiting fluid processes. Markov Processes Related Fields 1(4):491–512.Google Scholar
• Stolyar AL (2003) Control of end-to-end delay tails in a multiclass network: LWDF discipline optimality. Ann. Appl. Probab. 13(3):1151–1206.Google Scholar
• Stolyar A, Reiman MI, Korolev N, Mezhibovsky V, Ristock H (2010) Pacing in knowledge worker engagement. U.S. Patent 9955012B2. Filed: 2010-02-23. Granted: 2018-04–24.Google Scholar
• Zalkind D (1978) Order-level inventory systems with independent stochastic leadtimes. Management Sci. 24(13):1384–1392.Link, Google Scholar
• Zhang H, Chao X, Shi C (2020) Closing the gap: A learning algorithm for lost-sales inventory systems with lead times. Management Sci. 66(5):1962–1980.Link, Google Scholar
• Zipkin P (1986) Stochastic leadtimes in continuous-time inventory models. Naval Res. Logist. 33(4):763–774.Crossref, Google Scholar
• Zipkin PH (2000) Foundations of Inventory Management (McGraw-Hill, Boston).Google Scholar