Analysis of MAP/PH/1 retrial queue with constant retrial rate, working vacations, abandonment, flush out, search of customers, breakdown and repair

G. Ayyappan and R. Gowthami

International Journal of Operational Research, 2021, vol. 42, issue 3, 310-331

Abstract: A retrial queueing model in which the inter arrival times follow Markovian arrival process (MAP), the service times follow phase type distribution and the remaining random variables follow exponential distribution is studied in this paper. We use the matrix analytic method to study the resulting GI/M/1-type queueing model in the steady state. Some performance measures are enumerated. The analysis of the model has been done numerically and graphically.

Keywords: Markovian; arrival; process?; MAP?; phase; type; distribution?; retrial; queues?; orbital; search?; working; vacation?; breakdown; and; repair. (search for similar items in EconPapers)
Date: 2021
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