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, Volume 51, Issue 1, pp 5376
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Analysis of a Multiserver Queue with Setup Times
 J. R. ArtalejoAffiliated withDepartment of Statistics and O.R., Faculty of Mathematics, Complutense University of Madrid
 , A. EconomouAffiliated withDepartment of Mathematics, University of Athens
 , M. J. LopezHerreroAffiliated withSchool of Statistics, Complutense University of Madrid
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This paper deals with the analysis of an M/M/c queueing system with setup times. This queueing model captures the major characteristics of phenomena occurring in production when the system consists in a set of machines monitored by a single operator. We carry out an extensive analysis of the system including limiting distribution of the system state, waiting time analysis, busy period and maximum queue length.
Keywords
queueing performance multiserver queue setup times continuous time Markov chain difference equations matrix geometric solutions numerical inversion Title
 Analysis of a Multiserver Queue with Setup Times
 Journal

Queueing Systems
Volume 51, Issue 12 , pp 5376
 Cover Date
 200510
 DOI
 10.1007/s1113400517406
 Print ISSN
 02570130
 Online ISSN
 15729443
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Keywords

 queueing performance
 multiserver queue
 setup times
 continuous time Markov chain
 difference equations
 matrix geometric solutions
 numerical inversion
 Industry Sectors
 Authors

 J. R. Artalejo ^{(1)}
 A. Economou ^{(2)}
 M. J. LopezHerrero ^{(3)}
 Author Affiliations

 1. Department of Statistics and O.R., Faculty of Mathematics, Complutense University of Madrid, Madrid, 28040, Spain
 2. Department of Mathematics, University of Athens, Panepistemioupolis, Athens, 15784, Greece
 3. School of Statistics, Complutense University of Madrid, Madrid, 28040, Spain