STOCHASTIC BOUNDS FOR A SINGLE SERVER QUEUE WITH GENERAL RETRIAL TIMES

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BOUALEM MOHAMED; DJELLAB NATALIA; AISSANI DJAMIL

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ISSN: 2588-4824

Journal Paper

Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2014 | Volume:40 | Issue:1 Page(s): 183-198

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Information Journal Paper

Title

STOCHASTIC BOUNDS FOR A SINGLE SERVER QUEUE WITH GENERAL RETRIAL TIMES

Author(s)

BOUALEM MOHAMED | DJELLAB NATALIA | AISSANI DJAMIL | Issue Writer Certificate

Keywords

RETRIAL QUEUES

MARKOV CHAIN

STOCHASTIC BOUNDS

MONOTONICITY

AGEING DISTRIBUTIONS

Abstract

We propose to use a mathematical method based on stochastic comparisons of MARKOV CHAINs in order to derive performance indice bounds. The main goal of this paper is to investigate various MONOTONICITY properties of a single server retrial queue with first-come- first-served (FCFS) orbit and general retrial times using the stochastic ordering techniques.

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APA: Copy

BOUALEM, MOHAMED, DJELLAB, NATALIA, & AISSANI, DJAMIL. (2014). STOCHASTIC BOUNDS FOR A SINGLE SERVER QUEUE WITH GENERAL RETRIAL TIMES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 40(1), 183-198. SID. https://sid.ir/paper/618307/en

Vancouver: Copy

BOUALEM MOHAMED, DJELLAB NATALIA, AISSANI DJAMIL. STOCHASTIC BOUNDS FOR A SINGLE SERVER QUEUE WITH GENERAL RETRIAL TIMES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2014;40(1):183-198. Available from: https://sid.ir/paper/618307/en

IEEE: Copy

MOHAMED BOUALEM, NATALIA DJELLAB, and DJAMIL AISSANI, “STOCHASTIC BOUNDS FOR A SINGLE SERVER QUEUE WITH GENERAL RETRIAL TIMES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 40, no. 1, pp. 183–198, 2014, [Online]. Available: https://sid.ir/paper/618307/en

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