A revisit to queueing-inventory system with positive service time

A. Krishnamoorthy (), R. Manikandan () and B. Lakshmy ()

Annals of Operations Research, 2015, vol. 233, issue 1, 236 pages

Abstract: A queueing-inventory system, with the item given with probability γ to a customer at his service completion epoch, is considered in this paper. Two control policies, (s,Q) and (s,S) are discussed. In both cases we obtain the joint distribution of the number of customers and the number of items in the inventory as the product of their marginals under the assumption that customers do not join when inventory level is zero. Optimization problems associated with both models are investigated and the optimal pairs (s,S) and (s,Q) and the corresponding expected minimum costs are obtained. Further we investigate numerically an expression for per unit time cost as a function of γ. This function exhibit convexity property. A comparison with Schwarz et al. (Queueing Syst. 54:55–78, 2006 ) is provided. The case of arbitrarily distributed service time is briefly indicated. Copyright Springer Science+Business Media New York 2015

Keywords: Queueing-inventory; Positive service time; Lead time; Stochastic decomposition (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (12)

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DOI: 10.1007/s10479-013-1437-x

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