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A new approach to the busy period of the M/M/1 queue

Authors
Kinateder, KKJLee, EY
Issue Date
Aug-2000
Publisher
BALTZER SCI PUBL BV
Keywords
queue; constrained workload; busy period; martingales; Laplace transform; backward differential equation
Citation
QUEUEING SYSTEMS, v.35, no.1-4, pp 105 - 115
Pages
11
Journal Title
QUEUEING SYSTEMS
Volume
35
Number
1-4
Start Page
105
End Page
115
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/16803
DOI
10.1023/A:1019185826015
ISSN
0257-0130
1572-9443
Abstract
In this paper, we provide a new approach to the computation of the Laplace transform of the length of the busy period of the M/M/1 queue with constrained workload (finite dam), without the use of complex analysis.
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