Cost optimization in the (S-1, S) lost sales inventory model with multiple demand classes

For the (S-1,S) lost sales inventory model with multiple demand classes that have different lost sales penalty cost parameters, three accurate and efficient heuristic algorithms are presented that, at a given base stock level, aim to find optimal values for the critical levels, i.e., values that minimize inventory holding and penalty cost.

[1]  Boris Gnedenko,et al.  Introduction to queueing theory , 1968 .

[2]  Karen Donohue,et al.  A Threshold Inventory Rationing Policy for Service - Differentiated Demand Classes , 2003, Manag. Sci..

[3]  W. Karush.  A Queuing Model for an Inventory Problem , 1957 .

[4]  Stephen A. Smith.  Optimal Inventories for an (S − 1, S) System with No Backorders , 1977 .

[5]  A. A. Kranenburg,et al.  Service differentiation in spare parts inventory management , 2008, J. Oper. Res. Soc..

[6]  Eitan Altman,et al.  Discrete-Event Control of Stochastic Networks - Multimodularity and Regularity , 2004, Lecture notes in mathematics.

[7]  A. F. Veinott.  Optimal Policy in a Dynamic, Single Product, Nonstationary Inventory Model with Several Demand Classes , 1965 .

[8]  Bruce E. Hajek,et al.  Extremal Splittings of Point Processes , 1985, Math. Oper. Res..

[9]  Ger Koole,et al.  Optimal Shift Scheduling with a Global Service Level Constraint , 2003 .

[10]  Derek L. Eager,et al.  Throughput Concavity and Response Time Convexity , 1984, Inf. Process. Lett..

[11]  Yves Dallery,et al.  Optimal Stock Allocation for a Capacitated Supply System , 2002, Manag. Sci..

[12]  R. Dekker,et al.  On the (S − 1, S) lost sales inventory model with priority demand classes , 2002 .

[13]  D. M. Topkis.  OPTIMAL ORDERING AND RATIONING POLICIES IN A NONSTATIONARY DYNAMIC INVENTORY MODEL WITH n DEMAND CLASSES , 1968 .

[14]  Albert Y. Ha.  Inventory rationing in a make-to-stock production system with several demand classes and lost sales , 1997 .

[15]  K. Mani Chandy,et al.  Open, Closed, and Mixed Networks of Queues with Different Classes of Customers , 1975, JACM.

[16]  Rommert Dekker,et al.  Inventory rationing in an (s, Q) inventory model with lost sales and two demand classes , 1998, J. Oper. Res. Soc..