A batch arrival queue with different vacations

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Abstract

This paper considers a queuing system with compound Poisson arrival and multiple server vacations in which the vacations are differently distributed. We derive the distributions of system size and the queue waiting time. We show that the queue waiting time decomposes into two independent random variables: one is the queue waiting time of the ordinary batch arrival M/G/1 queue; and the other is a mixture of the residual times of a sequence of vacations with appropriate weights.

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Cited by (3)

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    1992, Applied Mathematical Modelling

  • Bulk service non-markovian queues with exceptional first vacation

    1999, International Journal of Information and Management Sciences

  • Non-Markovian bulk service queue with different vacation policies

    1999, International Journal of Information and Management Sciences
∗

Ho Woo Lee is Assistant Professor of Industrial Engineering at Sung Kyun Kwan University, Republic of Korea. He has a B.S. in Industrial Engineering from Seoul National University, and an M.S. and Ph.D. in Industrial and Systems Engineering from Ohio State University. His areas of interest are queuing theory and industrial applications of stochastic processes.

†

Soon Seok Lee is a graduate student in the Department of Industrial Engineering, Sung Kyun Kwan University. He has a B.S. and an M.S. in Industrial Engineering from Sung Kyun Kwan University.

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