A unified cost function for M/G/1 queueing systems with removable server.

Jesús R. Artalejo

Trabajos de Investigación Operativa (1992)

  • Volume: 7, Issue: 1, page 95-104
  • ISSN: 0213-8204

Abstract

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This article deals with the three classic policies for an M/G/1 queueing system (N, T, and D-policy). The optimum policies were compared in several precedent studies, but the comparison was performed employing different cost functions, so that the D-policy is superior to the N-policy when the cost function is based on the mean work-load, whilst the average queue length is used to show the superiority of the N-policy over the T-policy. In order to achieve a comparison of the three policies under a unified criterion we will compare the three policies twice employing both cost functions. We will conclude that the T-policy is the worst policy under both cost structures and the relation between the optimum N and D policies depends on the employed cost function.

How to cite

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Artalejo, Jesús R.. "A unified cost function for M/G/1 queueing systems with removable server.." Trabajos de Investigación Operativa 7.1 (1992): 95-104. <http://eudml.org/doc/40625>.

@article{Artalejo1992,
abstract = {This article deals with the three classic policies for an M/G/1 queueing system (N, T, and D-policy). The optimum policies were compared in several precedent studies, but the comparison was performed employing different cost functions, so that the D-policy is superior to the N-policy when the cost function is based on the mean work-load, whilst the average queue length is used to show the superiority of the N-policy over the T-policy. In order to achieve a comparison of the three policies under a unified criterion we will compare the three policies twice employing both cost functions. We will conclude that the T-policy is the worst policy under both cost structures and the relation between the optimum N and D policies depends on the employed cost function.},
author = {Artalejo, Jesús R.},
journal = {Trabajos de Investigación Operativa},
keywords = {Teoría de colas; Control; Política; service control policy; optimum policies; average queue length; cost function},
language = {eng},
number = {1},
pages = {95-104},
title = {A unified cost function for M/G/1 queueing systems with removable server.},
url = {http://eudml.org/doc/40625},
volume = {7},
year = {1992},
}

TY - JOUR
AU - Artalejo, Jesús R.
TI - A unified cost function for M/G/1 queueing systems with removable server.
JO - Trabajos de Investigación Operativa
PY - 1992
VL - 7
IS - 1
SP - 95
EP - 104
AB - This article deals with the three classic policies for an M/G/1 queueing system (N, T, and D-policy). The optimum policies were compared in several precedent studies, but the comparison was performed employing different cost functions, so that the D-policy is superior to the N-policy when the cost function is based on the mean work-load, whilst the average queue length is used to show the superiority of the N-policy over the T-policy. In order to achieve a comparison of the three policies under a unified criterion we will compare the three policies twice employing both cost functions. We will conclude that the T-policy is the worst policy under both cost structures and the relation between the optimum N and D policies depends on the employed cost function.
LA - eng
KW - Teoría de colas; Control; Política; service control policy; optimum policies; average queue length; cost function
UR - http://eudml.org/doc/40625
ER -

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