A Many-Server Queue with Service Interruptions

  • Mitrany I
  • Avi-Itzhak B
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Abstract

A steady-state M/M/N queuing system where each server is subject to random breakdowns of exponentially distributed duration is studied and analyzed. The moment generating function of the queue size is obtained in explicit form for N≦ 2. For larger values of N a numerical method is suggested.

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Mitrany, I. L., & Avi-Itzhak, B. (1968). A Many-Server Queue with Service Interruptions. Operations Research, 16(3), 628–638. https://doi.org/10.1287/opre.16.3.628

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