An ‘(s, S)’ inventory in a queueing system with batch service facility
Annals of Operations Research
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.
ISSN: 0254-5330 (Print) 1572-9338 (Online)
© 2017 Springer Science+Business Media New York 2015
Chakravarthy, Srinivas R.; Maity, Arunava; and Gupta, Umesh Chandra, "An ‘(s, S)’ inventory in a queueing system with batch service facility" (2017). Industrial & Manufacturing Engineering Publications. 70.