G/M/1 and G/M/c Queues

Percy H. Brill ()
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Percy H. Brill: University of Windsor

Chapter Chapter 5 in Level Crossing Methods in Stochastic Models, 2017, pp 285-335 from Springer

Abstract: Abstract This chapter applies a system-point level-crossing approach (SPLC, abbreviated LC) to derive the steady-state pdf of the virtual wait and the actual wait (arrival-point wait) in single-server G/M/1, and multiple-server G/M/c queues. Sections 5.1 and 5.2 treat G/M/1 and Sect. 5.3 treats G/M/c $$(c\ge 2)$$ . We assume arrivals occur according to a renewal process and service times are exponentially distributed.

Keywords: Service Time; Sample Path; Sojourn Time; Busy Period; Interarrival Time (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-50332-5_5

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