A QUEUE DISCIPLINE DEVOID OF THE LITERATURE
Sulaiman Sani1, Onkabetse A. Daman2
1Department of Mathematics
University of Botswana
PB 0022 Gaborone, BOTSWANA
2Department of Mathematics
Block 208 Room 203
University of Botswana
Gaborone, BOTSWANA
Abstract. In queuing literature, several queue and service disciplines have been extensively studied along side various queuing systems. However, a realistic queue and service discipline alludes the literature since 1909. In this paper, we describe the discipline on the $M/G/2$ queue and give an account of its stationary behavior under the assumption that the mean service rate of the two servers are nowhere equal.
AMS Subject classification: 60K25
Keywords and phrases: M/G/2 queue, M/(M+G)/2 queue, serial service, varying service rates


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DOI: 10.12732/ijam.v27i5.4

Volume: 27
Issue: 5
Year: 2014