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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2008, Vol. 9 Issue (10): 1437-1445    DOI: 10.1631/jzus.A0820103
Applied Mathematics     
Optimization on bicriterion policies for M/G/1 system with second optional service
Jau-chuan KE, Yunn-kuang CHU
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.

Key words： Average operating cost      Bicriterion policy      Optimization comparisons      Optional service      Optimal threshold values     
Received: 02 February 2008     
CLC:  O22  
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Jau-chuan KE
Yunn-kuang CHU
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Jau-chuan KE, Yunn-kuang CHU. Optimization on bicriterion policies for M/G/1 system with second optional service. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(10): 1437-1445.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A0820103     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2008/V9/I10/1437

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