WAITING TIME OFM/D1,∞/1QUEUE

Woojin Chang ()
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Woojin Chang: Department of Industrial Engineering, Seoul National University, San 56-1, Sillim-Dong, Kwanak-Ku, Seoul 151-742, Republic of Korea

Asia-Pacific Journal of Operational Research (APJOR), 2007, vol. 24, issue 03, 383-399

Abstract: In this paper, we consider a single-server infinite capacity queue with Poisson arrival. The server takes all waiting customers as a batch into service, and the service time of thekth customer in a batch isa + b × k, whereaandbare the set-up time and the individual service time for each customer, respectively. The steady-state mean and variance of waiting time of an arbitrary customer are obtained. Simulation results confirm our analysis.

Keywords: Gated queue; Poisson arrival; embedded Markov chain (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:24:y:2007:i:03:n:s0217595907001322

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DOI: 10.1142/S0217595907001322

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