Simple approximations for the batch-arrival MX/G/1 queue

J.C.W. van Ommeren

doi:10.1287/opre.38.4.678

Simple approximations for the batch-arrival M^X/G/1 queue

J.C.W. van Ommeren

Discrete Mathematics and Mathematical Programming

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Abstract

In this paper we consider the M^X/G/I queueing system with batch arrivals. We give simple approximations for the waiting-time probabilities of individual customers. These approximations are checked numerically and they are found toperform very well for a wide variety of batch-size and service-timed distributions.

Original language	English
Pages (from-to)	678-685
Number of pages	13
Journal	Operations research
Volume	38
Issue number	4
DOIs	https://doi.org/10.1287/opre.38.4.678
Publication status	Published - 1990

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title = "Simple approximations for the batch-arrival MX/G/1 queue",

abstract = "In this paper we consider the MX/G/I queueing system with batch arrivals. We give simple approximations for the waiting-time probabilities of individual customers. These approximations are checked numerically and they are found toperform very well for a wide variety of batch-size and service-timed distributions.",

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AB - In this paper we consider the MX/G/I queueing system with batch arrivals. We give simple approximations for the waiting-time probabilities of individual customers. These approximations are checked numerically and they are found toperform very well for a wide variety of batch-size and service-timed distributions.

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DO - 10.1287/opre.38.4.678

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JO - Operations research

JF - Operations research

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Simple approximations for the batch-arrival MX/G/1 queue

Abstract

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Simple approximations for the batch-arrival M^X/G/1 queue