Waiting-time analysis of D-$${ BMAP}{/}G{/}1$$BMAP/G/1 queueing system

S. K. Samanta ()
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S. K. Samanta: National Institute of Technology

Annals of Operations Research, 2020, vol. 284, issue 1, No 17, 413 pages

Abstract: Abstract This paper presents a simple procedure to evaluate the actual waiting-time distributions for the first- and an arbitrary-customer of an arrival batch in the D-BMAP/G / 1 queueing system. The analysis is based on the remaining service time as the supplementary variable and the roots of the associated characteristic equation of the vector-generating function of the actual waiting-time distribution. Numerical aspects have been tested for a variety of service-time distribution and a sample of numerical outputs is presented.

Keywords: Discrete-time batch Markovian arrival process (D-BMAP); Probability generating function; Queue; Roots; Waiting-time distribution (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10479-015-1974-6

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