ANALYSIS OF M_1 + M_2/G^x(M/G)/1 MATCHING QUEUE SYSTEM WITH L^2-POLICY VACATION AND REPAIRABLE SERVER

Li Quanlin;Tang Zongxian

Journal of Systems Science and Mathematical Sciences ›› 1996, Vol. 16 ›› Issue (3) : 193-203.

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PDF(437 KB)
Journal of Systems Science and Mathematical Sciences ›› 1996, Vol. 16 ›› Issue (3) : 193-203. DOI: 10.12341/jssms09190
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ANALYSIS OF M_1 + M_2/G^x(M/G)/1 MATCHING QUEUE SYSTEM WITH L^2-POLICY VACATION AND REPAIRABLE SERVER

  • Li Quanlin(1);Tang Zongxian(2)
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Abstract

The matching queue system with two inputs is a generalization of the common queue system.This paper studies the two important factors about L^2-policy vacation and repairable server in M_1 + M_2/G^x(M/G)/1 matching queue system.This queue system is assumed to have two inputs and be batch served by 1:1. All distributions of the queue system are assumed to be continuous. By using the vector Markov process method, some important stationary queue characteristic and reliability characteristics of the queue system are obtained.

Key words

Matching queue system / L^2-policy vacation / repairable server / generating function / general continuo

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Li Quanlin , Tang Zongxian. ANALYSIS OF M_1 + M_2/G^x(M/G)/1 MATCHING QUEUE SYSTEM WITH L^2-POLICY VACATION AND REPAIRABLE SERVER. Journal of Systems Science and Mathematical Sciences, 1996, 16(3): 193-203 https://doi.org/10.12341/jssms09190
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