ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS

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VIJAYA LAXMI P.; JYOTHSNA K.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2015 | Volume:5 | Issue:2 Page(s): 173-184

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Title

ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS

Author(s)

VIJAYA LAXMI P. | JYOTHSNA K. | Issue Writer Certificate

Keywords

QUEUE

FINITE BUFFER

MARKOVIAN SERVICE PROCESS

BALKING

WAITING-TIME

Abstract

This paper presents the analysis of a FINITE BUFFER renewal input QUEUE wherein the customers can decide either to join the QUEUE with a probability or to balk. The service process is MARKOVIAN SERVICE PROCESS (MSP) governed by an underlying m-state Markov chain. Employing the supplementary variable and embedded Markov chain techniques, the steady- state system length distributions at pre-arrival and arbitrary epochs are obtained. Based on the system length distributions, some performance measures of the model and WAITING-TIME analysis are presented. Finally, numerical results are displayed to show the effect of model parameters on the key performance measures.

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APA: Copy

VIJAYA LAXMI, P., & JYOTHSNA, K.. (2015). ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 5(2), 173-184. SID. https://sid.ir/paper/328356/en

Vancouver: Copy

VIJAYA LAXMI P., JYOTHSNA K.. ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2015;5(2):173-184. Available from: https://sid.ir/paper/328356/en

IEEE: Copy

P. VIJAYA LAXMI, and K. JYOTHSNA, “ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 5, no. 2, pp. 173–184, 2015, [Online]. Available: https://sid.ir/paper/328356/en

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