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

S. R. Chakravarthy (), Arunava Maity () and U. C. Gupta ()
Additional contact information
S. R. Chakravarthy: Kettering University
Arunava Maity: Indian Institute of Technology Kharagpur
U. C. Gupta: Indian Institute of Technology Kharagpur

Annals of Operations Research, 2017, vol. 258, issue 2, No 5, 263-283

Abstract: 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.

Keywords: Queueing; Inventory; Bulk service; Matrix-analytic method; Simulation (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10479-015-2041-z

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