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Partial-Fraction Decomposition Approach to the M/H2/2 Queue
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J. Arkat   , M. Hosseinabadi Farahani |
| Department of Industrial Engineering University of Kurdistan, Sanandaj, Iran , j.arkat@uok.ac.ir |
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Abstract: (28075 Views) |
| Here, a two server queueing system with Poisson arrivals and two different types of customers (M/H2/2 queue) is analyzed. A novel straightforward method is presented to acquire the exact and explicit forms of the performance measures. First, the steady state equations along with their Z-transforms are derived for the aforementioned queueing system. Using some limiting behaviors of the steady-state probabilities along with partial fraction decomposition as a simple algebraic procedure, the problem reduces to the solution of a system of linear equations. |
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| Keywords: Queueing systems, Hyper-exponential service times, Z-transform, Partial fraction decomposition |
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Full-Text [PDF 526 kb]
(31174 Downloads)
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Type of Study: Original |
Subject:
Applied Probability and Queuing Theory
Received: 2013/07/19 | Accepted: 2014/10/24 | Published: 2015/09/16
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