Bulk input queues with hysteretic control |
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Authors: | Dikong Elijah Eseme Dshalalow Jewgeni H. |
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Affiliation: | (1) Operations Research Program, Florida Institute of Technology, Melbourne, FL 32901, USA;(2) Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA |
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Abstract: | This paper deals with a bulk input-batch service queueing system and (r,N)-hysteretic control, i.e., under N-policy and r-quorum discipline. The model also includes state dependent service. The goal of such global control is to reduce the waste of server capacity (r-quorum), an unwanted number of switchovers between idle and busy modes (N-policy), and the queue length (by means of variable service rates). The analysis of the system is based on first excess level technique developed by the second author. This approach enables the authors to obtain major characteristics for the queueing process in a closed analytical form. This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | queueing process first excess level process first passage time termination index quorum hysteresis bulk input batch service fluctuation theory embedded Markov chain equilibrium semi-regenerative process |
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