Title
COST ANALYSIS OF Mx/Ej/1 AND TWOPHASE QUEUEING SYSTEMS WITH NPOLICY: OPTIMAL CONTROL POLICY,Used
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This book envisages to present a detailed analysis of twophase Npolicy Queueing systems with adequate illustrated data. Chapters I and II deals with necessary preliminaries and a preamble to the main topic. Chapter III presents optimal control of Mx/Ej/1(j being a random variable) with NPolicy. In chapters IV, V, VI and VII a comprehensive account of the optimal control of NPolicy twophase M/M/1, M/Ek/1, Mx/M/1 and Mx/Ek/1 queueing systems under exhaustive gated and nongated services is presented. The distribution of the system size has been derived through probability generating functions and further obtained therefrom various system performance measures. From the results thus obtained the total expected cost function per unit time that includes customer holding cost, system set up cost, server start up cost, server running cost and the extra revenue earned through the server working during vacation is formulated. Next the optimal threshold N to minimize the total expected cost has been determined. Finally, the entire sensitivity analysis is highlighted through numerical illustrations.
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