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Some explicit formulas for mixed exponential service systems

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Publication:1113220
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DOI10.1016/0305-0548(88)90047-0zbMath0661.60117OpenAlexW1982245704MaRDI QIDQ1113220

Vernon Rego

Publication date: 1988

Published in: Computers \& Operations Research (Search for Journal in Brave)

Full work available at URL: https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=1559&context=cstech


zbMATH Keywords

formulas for queue length and waiting time distributionsPollachek- Khinchin transform


Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)


Related Items (2)

Some explicit formulas for mixed exponential service systems ⋮ The presence of exponentiality in entropy maximized M/GI/1 queues



Cites Work

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  • Characterizations of equilibrium queue length distributions in M/GI/1 queues
  • Some explicit formulas for mixed exponential service systems
  • A characterization of the gamma distribution by the negative binomial distribution
  • Single server queues with hyperexponential service times
  • A conservation law for a wide class of queueing disciplines
  • A relation between stationary queue and waiting time distributions




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