Optimization on bicriterion policies for M/G/1 system with second optional service |
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| Authors: | Jau-chuan Ke and Yunn-kuang Chu |
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| Institution: | Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan, China |
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| Abstract: | We compare the optimal operating cost of the two bicriterion policies, p,T and p,N, for an M/G/1 queueing system with second optional service, in which the length of the vacation period is randomly controlled either by the number of arrivals during the idle period or by a timer. After all the customers are served in the queue exhaustively, the server immediately takes a vacation and may operate p, T policy or p,N policy. For the two bicriterion policies, the total average cost function per unit time is developed to search the optimal stationary operating policies at a minimum cost. Based upon the optimal cost the explicit forms for joint optimum threshold values of (p,T) and (p,N) are obtained. |
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| Keywords: | Average operating cost Bicriterion policy Optimization comparisons Optional service Optimal threshold values |
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