Insensitivity and Product-Form Queueing Models

Moshe Haviv
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Moshe Haviv: The Hebrew University

Chapter Chapter 11 in Queues, 2013, pp 165-179 from Springer

Abstract: Abstract Most of the analysis done so far assumed a FCFS queueing regime. Yet some, indeed many, of our results (for example, those concerning mean waiting times) hold for any work-conserving, nonanticipating and nonpreemptive regime. For example, instead of a FCFS regime, we can assume a random regime such that, upon service completion, the next to commence service is selected at random from all those waiting. Another example is the last-come first-served without preemption regime (LCFS), where the next to commence service is the one who has been waiting the least. Indeed, in all of these entrance policies for the G/G/1 queue, the distribution of the number in the system, and hence, by Little’s law, the mean waiting time, is invariant with the queueing regime. Of course, many differences exist. For example, the variance of the waiting time in a FCFS queue is smaller than the corresponding value under LCFS. See [33].

Keywords: Last Come First Served (LCFS); Queue Regime; FCFS Queue; Service Completion; Preemptive Regime (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-6765-6_11

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