Explicit results for the distributions of queue lengths for a non-preemptive two-level priority queue

Josef Zuk () and David Kirszenblat ()
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Josef Zuk: Defence Science and Technology Group
David Kirszenblat: Defence Science and Technology Group

Annals of Operations Research, 2024, vol. 341, issue 2, No 18, 1223-1246

Abstract: Abstract Explicit results are derived using simple and exact methods for the joint and marginal queue-length distributions for the M/M/c queue with two non-preemptive priority levels. Equal service rates are assumed. Two approaches are considered. One is based on numerically robust quadratic recurrence relations. The other is based on a complex contour-integral representation that yields exact closed-form analytical expressions, not hitherto available in the literature, that can also be evaluated numerically with very high accuracy.

Keywords: Queueing theory; Non-preemptive priority; Markovian queue; Queue-length distribution; 90B22; 60K25; 60J74; 90B22; 60K25; 60J74 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-024-06237-5

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