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A discrete-time batch service queue with batch renewal input and random serving capacity rule under the late arrival delayed access system, has recently appeared in the literature (Barbhuiya and Gupta in Queueing Syst 91(3):347–365, 2019b). In this paper, we consider the same model under the early arrival system, since it is more applicable in telecommunication systems where an arriving batch of packets...
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...
This article studies an infinite-buffer single server queue with versatile bulk service policy, where the service rates depend on the service batch sizes. Such queueing systems have potential applications in manufacturing, computer and telecommunication systems, semiconductor industry, group testing etc. Also from our present analysis, the results for several batch-service models can be derived. We...
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