Optimal service rates of a service facility with perishable inventory items

Oded Berman · K.P. Sapna

51 citations0/0 files storedNaval Research Logistics (NRL)

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Advanced Queuing Theory Analysis Supply Chain and Inventory Management Optimization and Search Problems

Abstract

Abstract In this paper we optimally control service rates for an inventory system of service facilities with perishable products. We consider a finite capacity system where arrivals are Poisson‐distributed, lifetime of items have exponential distribution, and replenishment is instantaneous. We determine the service rates to be employed at each instant of time so that the long‐run expected cost rate is minimized for fixed maximum inventory level and capacity. The problem is modelled as a semi‐Markov decision problem. We establish the existence of a stationary optimal policy and we solve it by employing linear programming. Several numerical examples which provide insight to the behavior of the system are presented. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 464–482, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10021

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References

2014Introduction to Stochastic Processes 1993DETERMINISTIC APPROXIMATIONS FOR INVENTORY MANAGEMENT AT SERVICE FACILITIES 1999Stochastic models for inventory management at service facilities 2000Inventory management at service facilities for systems with arbitrarily distributed service times

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