Analysis of B M A P/M S P/1 Queue

S. K. Samanta (), M. L. Chaudhry () and A. Pacheco ()
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S. K. Samanta: Universidade de Lisboa
M. L. Chaudhry: Royal Military College of Canada
A. Pacheco: Universidade de Lisboa

Methodology and Computing in Applied Probability, 2016, vol. 18, issue 2, 419-440

Abstract: Abstract The analysis for the B M A P/M S P/1 queueing system is based on roots of the associated characteristic equation of the vector-generating function of system-length distribution at random epoch. We obtain the steady-state system-length distributions at various epochs as well as of the actual sojourn-time distribution of an arbitrary customer in an arriving batch.

Keywords: Batch Markovian arrival process (BMAP); Markovian service process (MSP); Roots; Sojourn time; System length; 60K25; 68M20; 90B22 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s11009-014-9429-0

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