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

Trabajos de Investigación Operativa (1992)

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

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topArtalejo, 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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