M Machines, R Repairmen (M/M/R/M)

Nick T. Thomopoulos ()
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Nick T. Thomopoulos: Illinois Institute of Technology, Stuart School of Business

Chapter Chapter 12 in Fundamentals of Queuing Systems, 2012, pp 85-91 from Springer

Abstract: Abstract This chapter pertains for a system with a limited number of units in the input population, like M machines in a shop that occasionally require service from R servers (repairmen). The inter-arrival time per unit and the service times are exponential. An example is a taxi fleet of 100 cabs with four service mechanics on duty to maintain and repair the cabs as needed. The probability on number of units in the repair system is generated. The basic performance measures of the system are developed and examples are presented.

Keywords: Repairman; Basic Performance Measures; Taxi Fleet; Chapter Pertains; Average Service Time (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-3713-0_12

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DOI: 10.1007/978-1-4614-3713-0_12

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