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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.10 P.1437~1445


Optimization on bicriterion policies for M/G/1 system with second optional service

Author(s):  Jau-chuan KE, Yunn-kuang CHU

Affiliation(s):  Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan, China

Corresponding email(s):   jauchuan@ntit.edu.tw

Key Words:  Average operating cost, Bicriterion policy, Optimization comparisons, Optional service, Optimal threshold values

Jau-chuan KE, Yunn-kuang CHU. Optimization on bicriterion policies for M/G/1 system with second optional service[J]. Journal of Zhejiang University Science A, 2008, 9(10): 1437~1445.

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author="Jau-chuan KE, Yunn-kuang CHU",
journal="Journal of Zhejiang University Science A",
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%T Optimization on bicriterion policies for M/G/1 system with second optional service
%A Jau-chuan KE
%A Yunn-kuang CHU
%J Journal of Zhejiang University SCIENCE A
%V 9
%N 10
%P 1437~1445
%@ 1673-565X
%D 2008
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820103

T1 - Optimization on bicriterion policies for M/G/1 system with second optional service
A1 - Jau-chuan KE
A1 - Yunn-kuang CHU
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 10
SP - 1437
EP - 1445
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A0820103

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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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