On $$M^{X}/G(M/H)/1$$ M X / G ( M / H ) / 1 retrial system with vacation: service helpline performance measurement

Wee Meng Yeo (), Xue-Ming Yuan and Joyce Mei Wan Low
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Wee Meng Yeo: Singapore Institute of Manufacturing Technology (SIMTech)
Xue-Ming Yuan: Singapore Institute of Manufacturing Technology
Joyce Mei Wan Low: Singapore Management University

Annals of Operations Research, 2017, vol. 248, issue 1, No 23, 553-578

Abstract: Abstract This paper analyzes an unreliable $$M^{X}/G(M/H)/1$$ M X / G ( M / H ) / 1 retrial system with vacation. We present closed-form expressions for the important performance indicators of the system, and derive the optimal vacation policies for minimizing the average waiting time of orbiting customers. The performance metrics relevant for helpline services are developed. Numerical experiments are conducted to examine the effect of vacation policy on the queue length and busy period of the system.

Keywords: Retrial systems; Vacations; Batch arrivals; Breakdown; Reliability (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10479-016-2207-3

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