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  1. Journal of Systems Science and Systems Engineering
  2. Journal of Systems Science and Systems Engineering : Volume 19
  3. Journal of Systems Science and Systems Engineering : Volume 19, Issue 4, December 2010
  4. The M/PH/1 queue with working vacations and vacation interruption
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Journal of Systems Science and Systems Engineering : Volume 26
Journal of Systems Science and Systems Engineering : Volume 25
Journal of Systems Science and Systems Engineering : Volume 24
Journal of Systems Science and Systems Engineering : Volume 23
Journal of Systems Science and Systems Engineering : Volume 22
Journal of Systems Science and Systems Engineering : Volume 21
Journal of Systems Science and Systems Engineering : Volume 20
Journal of Systems Science and Systems Engineering : Volume 19
Journal of Systems Science and Systems Engineering : Volume 19, Issue 4, December 2010
Coordinating production and recycling decisions with stochastic demand and return
A model and an analytical method for conveyor systems in distribution centers
Some new similarity measures for intuitionistic fuzzy values and their application in group decision making
Creating balanced and connected clusters to improve service delivery routes in logistics planning
Coordinating pricing and inventory decisions in a bounded production system with uncertain yield
The M/PH/1 queue with working vacations and vacation interruption
Notes on “Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment”
Journal of Systems Science and Systems Engineering : Volume 19, Issue 3, September 2010
Journal of Systems Science and Systems Engineering : Volume 19, Issue 2, June 2010
Journal of Systems Science and Systems Engineering : Volume 19, Issue 1, March 2010
Journal of Systems Science and Systems Engineering : Volume 18
Journal of Systems Science and Systems Engineering : Volume 17
Journal of Systems Science and Systems Engineering : Volume 16
Journal of Systems Science and Systems Engineering : Volume 15
Journal of Systems Science and Systems Engineering : Volume 14
Journal of Systems Science and Systems Engineering : Volume 13
Journal of Systems Science and Systems Engineering : Volume 12

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The M/PH/1 queue with working vacations and vacation interruption

Content Provider SpringerLink
Author Baba, Yutaka
Copyright Year 2010
Abstract We study an M/PH/1 queue with phase type working vacation and vacation interruption where the vacation time follows a phase type distribution. The server serves the customers at a lower rate in a vacation period. The server comes back to the regular busy period at a service completion without completing the vacation. Such policy is called vacation interruption. In terms of quasi birth and death process and matrix-geometric solution method, we obtain the stationary queue length distribution. Moreover we obtain the conditional stochastic decomposition structures of queue length and waiting time when the service time distribution in the regular busy period is exponential.
Starting Page 496
Ending Page 503
Page Count 8
File Format PDF
ISSN 10043756
Journal Journal of Systems Science and Systems Engineering
Volume Number 19
Issue Number 4
e-ISSN 18619576
Language English
Publisher SP Systems Engineering Society of China
Publisher Date 2010-12-06
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Working vacation vacation interruption phase type distribution quasi birth and death process matrix-geometric solution stochastic decomposition Operations Research/Decision Theory Game Theory/Mathematical Methods Complexity
Content Type Text
Resource Type Article
Subject Control and Systems Engineering Information Systems
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