An ‘(s, S)’ inventory in a queueing system with batch service facility

Document Type

Article

Publication Date

11-1-2017

Publication Title

Annals of Operations Research

Abstract

This paper considers a single-server queueing model in which the customers are served in batches of varying size depending on predetermined thresholds as well as available inventory. There is a finite buffer for the inventory and the service of every customer requires an inventory item. An (s, S) -type inventory system is used for the models considered in this paper. Initially, the model is studied in detail using the matrix-analytic method by assuming all the underlying random variables to be exponentially distributed. Thereafter, an outline of the model in a more general set up is also presented. Due to complexity of the model when more general assumptions are made on the underlying random variables, simulation is opted after a satisfactory validation with the analytic counterpart of the exponential model. Finally, some illustrative numerical examples are also presented to accomplish our analysis.

Volume

258

Issue

2

First Page

263

Last Page

283

DOI

10.1007/s10479-015-2041-z

ISSN

ISSN: 0254-5330 (Print) 1572-9338 (Online)

Rights

© 2017 Springer Science+Business Media New York 2015

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