Dynamic control in multi-item production/inventory systems

We consider a production/inventory system consisting of one production line and multiple products. Finished goods are kept in stock to serve stochastic demand. Demand is fulfilled immediately if there is an item of the requested product in stock and otherwise it is backordered and fulfilled later. The production line is modeled as a non-preemptive single server and the objective is to minimize the sum of the average inventory holding costs and backordering costs. We investigate the structure of the optimal production policy, propose a new scheduling policy, and develop a method for calculating base stock levels under an arbitrary but given scheduling policy. The performance of the various production policies is evaluated in extensive numerical experiments.

[1]  Jan Holmström,et al.  Additive manufacturing in the spare parts supply chain , 2014, Comput. Ind..

[2]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Two Volume Set , 1995 .

[3]  Antonio Arreola-Risa,et al.  Production , Manufacturing and Logistics Optimizing stochastic production-inventory systems : A heuristic based on simulation and regression analysis , 2011 .

[4]  Lode Li.  The role of inventory in delivery-time competition , 1992 .

[5]  Albert Y. Ha.  Optimal Dynamic Scheduling Policy for a Make-To-Stock Production System , 1997, Oper. Res..

[6]  Matthew J. Sobel,et al.  The Optimality of Full Service Policies , 1982, Oper. Res..

[7]  Yves Dallery,et al.  Dynamic Scheduling in a Make-to-Stock System: A Partial Characterization of Optimal Policies , 2000, Oper. Res..

[8]  Hossein Abouee-Mehrizi,et al.  Scheduling policies in the M/G/1 make-to-stock queue , 2010, J. Oper. Res. Soc..

[9]  Paul Zipkin.  Performance Analysis of a Multi-Item Production-Inventory System Under Alternative Policies , 1995 .

[10]  Ivo J. B. F. Adan,et al.  Reducing Costs of Spare Parts Supply Systems via Static Priorities , 2009, Asia Pac. J. Oper. Res..

[11]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Vol. II , 1976 .

[12]  HolmströmJan,et al.  Additive manufacturing in the spare parts supply chain , 2014 .

[13]  José Niño-Mora,et al.  Dynamic priority allocation via restless bandit marginal productivity indices , 2007, 2304.06115.

[14]  Bora Kat,et al.  Using aggregate fill rate for dynamic scheduling of multi-class systems , 2011, Ann. Oper. Res..

[15]  Senthil K. Veeraraghavan,et al.  Simple Policies for Managing Flexible Capacity , 2018, Manuf. Serv. Oper. Manag..

[16]  Baris Balcioglu,et al.  Scheduling policies for a repair shop problem , 2013, Ann. Oper. Res..

[17]  Heng Zhou,et al.  The impact of additive manufacturing in the aircraft spare parts supply chain: supply chain operation reference (scor) model based analysis , 2014 .

[18]  Marc Lambrecht,et al.  Optimization of a stochastic remanufacturing network with an exchange option , 2013, Decis. Support Syst..

[19]  Paul Zipkin,et al.  A Queueing Model to Analyze the Value of Centralized Inventory Information , 1990, Oper. Res..

[20]  Lawrence M. Wein,et al.  Dynamic Scheduling of a Multiclass Make-to-Stock Queue , 2015, Oper. Res..

[21]  P. Whittle.  Restless bandits: activity allocation in a changing world , 1988, Journal of Applied Probability.

[22]  Paul H. Zipkin,et al.  Dynamic Scheduling Rules for a Multiproduct Make-to-Stock Queue , 1997, Oper. Res..

[23]  Geert-Jan van Houtum,et al.  The symmetric longest queue system , 1994 .

[24]  G. R. Janssen,et al.  TNO : The impact of 3-D printing on supply chain management , 2014 .

[25]  Evan L. Porteus.  Foundations of Stochastic Inventory Theory , 2002 .

[26]  Stephen C. Graves,et al.  Technical Note - A One-Product Production/Inventory Problem under Continuous Review Policy , 1980, Oper. Res..

[27]  Gregory A. DeCroix,et al.  Optimal Production and Inventory Policy for Multiple Products Under Resource Constraints , 1998 .

[28]  James R. Wilson,et al.  Convergence Properties of the Batch Means Method for Simulation Output Analysis , 2001, INFORMS J. Comput..

[29]  Fabrice Dusonchet.  Dynamic scheduling for production systems operating in a random environment , 2003 .

[30]  Lawrence M. Wein,et al.  Scheduling a Make-To-Stock Queue: Index Policies and Hedging Points , 1996, Oper. Res..