Exploiting Random Lead Times for Significant Inventory Cost Savings

Taking Advantage of the Lead Time Randomness in Supply Chains Randomness in lead times is a major—and increasingly important—issue of inventory management, as a variety of risk factors motivate companies to diversify their supply sources and rely on distributed networks of suppliers. In “Exploiting Random Lead Times for Significant Inventory Cost Savings,” A. Stolyar and Q. Wang show that, surprisingly, instead of being a damaging factor to supply chain performance, randomness may be harnessed for potentially very substantial reductions of inventory costs. Specifically, the theoretical analysis and simulation results in the paper demonstrate that, under certain conditions, appropriately designed novel policies can significantly outperform the conventional base stock policies.

[1]  G. J. Feeney,et al.  The S-1, S Inventory Policy Under Compound Poisson Demand , 1966 .

[2]  D. Zalkind Order-Level Inventory Systems with Independent Stochastic Leadtimes , 1978 .

[3]  Paul H. Zipkin,et al.  Stochastic leadtimes in continuous‐time inventory models , 1986 .

[4]  S. K. Srinivasan,et al.  An (s, S) inventory system with poisson demands and exponential lead time , 1987 .

[5]  T. Lindvall Lectures on the Coupling Method , 1992 .

[6]  Richard L. Tweedie,et al.  Markov Chains and Stochastic Stability , 1993, Communications and Control Engineering Series.

[7]  Edwin D. Mares,et al.  On S , 1994, Stud Logica.

[8]  J. Dai On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models , 1995 .

[9]  Paul H. Zipkin,et al.  The Joint Effect of Leadtime Variance and Lot Size in a Parallel Processing Environment , 1996 .

[10]  Paul H. Zipkin,et al.  Inventory Control with Information About Supply Conditions , 1996 .

[11]  Jack C. Hayya,et al.  An Inventory Model with Order Crossover , 1998, Oper. Res..

[12]  M. Fu,et al.  Optimization of( s, S ) inventory systems with random lead times and a service level constraint , 1998 .

[13]  Ann Appl,et al.  On the Positive Harris Recurrence for Multiclass Queueing Networks: a Uniied Approach via Uid Limit Models , 1999 .

[14]  Paul H. Zipkin,et al.  Foundations of Inventory Management , 2000 .

[15]  L. Joseph Thomas,et al.  Consequences of Order Crossover Under Order-Up-To Inventory Policies , 2001, Manuf. Serv. Oper. Manag..

[16]  A. Stolyar Control of end-to-end delay tails in a multiclass network: LWDF discipline optimality , 2003 .

[17]  Lawrence W. Robinson,et al.  Improved Base-Stock Approximations for Independent Stochastic Lead Times with Order Crossover , 2005, Manuf. Serv. Oper. Manag..

[18]  Herbert E. Scarf,et al.  Inventory Models of the Arrow-Harris-Marschak Type with Time Lag , 2005 .

[19]  Lawrence W. Robinson,et al.  Online Appendix to Accompany Further Improvements on Base-Stock Approximations for Independent Stochastic Lead Times with Order Crossover , 2007 .

[20]  W. Whitt,et al.  Martingale proofs of many-server heavy-traffic limits for Markovian queues ∗ , 2007, 0712.4211.

[21]  Lawrence W. Robinson,et al.  Note - Further Improvements on Base-Stock Approximations for Independent Stochastic Lead Times with Order Crossover , 2008, Manuf. Serv. Oper. Manag..

[22]  D. Down,et al.  Stability of Queueing Networks , 1994 .

[23]  Woonghee Tim Huh,et al.  A Nonparametric Asymptotic Analysis of Inventory Planning with Censored Demand , 2009, Math. Oper. Res..

[24]  Nan Yang,et al.  Inventory Management with an Exogenous Supply Process , 2010, Oper. Res..

[25]  Carl D. Meyer,et al.  Who's #1? , 2012 .

[26]  Alexander L. Stolyar,et al.  A service system with on-demand agent invitations , 2014, Queueing Syst. Theory Appl..

[27]  Xun Wang,et al.  Inventory management for stochastic lead times with order crossovers , 2016, Eur. J. Oper. Res..

[28]  Jing-Sheng Song,et al.  Closed-Form Approximations for Optimal (r,q) and (S,T) Policies in a Parallel Processing Environment , 2016, Oper. Res..

[29]  Xiuli Chao,et al.  Closing the Gap: A Learning Algorithm for Lost-Sales Inventory Systems with Lead Times , 2020, Manag. Sci..

[30]  A. Stolyar On the Stability of Multiclass Queueing Networks: A Relaxed SuÆcient Condition via Limiting Fluid Processes , .