Iranian Journal of Operations Research
مجله انجمن ایرانی تحقیق در عملیات
IJOR
Basic Sciences
http://iors.ir/journal
0
user
2008-1189
10.29252/iors
en
jalali
1393
2
1
gregorian
2014
5
1
5
1
online
1
fulltext
en
Partial-Fraction Decomposition Approach to the M/H2/2 Queue
Applied Probability and Queuing Theory
Applied Probability and Queuing Theory
پژوهشی
Original
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.
Queueing systems, Hyper-exponential service times, Z-transform, Partial fraction decomposition
55
63
http://iors.ir/journal/browse.php?a_code=A-10-519-1&slc_lang=en&sid=1
J.
Arkat
j.arkat@uok.ac.ir
`00031947532846001292`

00031947532846001292
Yes
Department of Industrial Engineering University of Kurdistan, Sanandaj, Iran
M.
Hosseinabadi Farahani
m.hosseinabadi@ut.ac.ir
`00031947532846001293`

00031947532846001293
No
Department of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran