A multi-server queueing model with locking

Research output: Book/ReportReportAcademic

60 Downloads (Pure)

Abstract

In this paper we analyse a multiserver queueing model with locking. The model is motivated by a situation we encountered at a maintenance facility for trains. Maintenance is done at parallel tracks where each track offers space to two trains. Trains can enter and leave the tracks from one and the same side only. This gives rise to locking of the front train: in order to leave the maintenance track the front train has to wait till maintenance of the back train (if there is one) has also been completed. Hence, part of the maintenance (or track) capacity is lost. The queueing model is used to investigate the loss of capacity and its effect on sojourn times. The performance of this system is also compared with other designs. A surprising result is that in light traffic it is better to use only half of the track capacity by allowing no more than one train at a maintenance track.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages13
Publication statusPublished - 1998

Publication series

NameMemorandum COSOR
Volume9803
ISSN (Print)0926-4493

Fingerprint

Servers

Cite this

Adan, I. J. B. F., Kok, de, A. G., & Resing, J. A. C. (1998). A multi-server queueing model with locking. (Memorandum COSOR; Vol. 9803). Eindhoven: Technische Universiteit Eindhoven.
Adan, I.J.B.F. ; Kok, de, A.G. ; Resing, J.A.C. / A multi-server queueing model with locking. Eindhoven : Technische Universiteit Eindhoven, 1998. 13 p. (Memorandum COSOR).
@book{b81efc44413a4cfc8f44681d78bab206,
title = "A multi-server queueing model with locking",
abstract = "In this paper we analyse a multiserver queueing model with locking. The model is motivated by a situation we encountered at a maintenance facility for trains. Maintenance is done at parallel tracks where each track offers space to two trains. Trains can enter and leave the tracks from one and the same side only. This gives rise to locking of the front train: in order to leave the maintenance track the front train has to wait till maintenance of the back train (if there is one) has also been completed. Hence, part of the maintenance (or track) capacity is lost. The queueing model is used to investigate the loss of capacity and its effect on sojourn times. The performance of this system is also compared with other designs. A surprising result is that in light traffic it is better to use only half of the track capacity by allowing no more than one train at a maintenance track.",
author = "I.J.B.F. Adan and {Kok, de}, A.G. and J.A.C. Resing",
year = "1998",
language = "English",
series = "Memorandum COSOR",
publisher = "Technische Universiteit Eindhoven",

}

Adan, IJBF, Kok, de, AG & Resing, JAC 1998, A multi-server queueing model with locking. Memorandum COSOR, vol. 9803, Technische Universiteit Eindhoven, Eindhoven.

A multi-server queueing model with locking. / Adan, I.J.B.F.; Kok, de, A.G.; Resing, J.A.C.

Eindhoven : Technische Universiteit Eindhoven, 1998. 13 p. (Memorandum COSOR; Vol. 9803).

Research output: Book/ReportReportAcademic

TY - BOOK

T1 - A multi-server queueing model with locking

AU - Adan, I.J.B.F.

AU - Kok, de, A.G.

AU - Resing, J.A.C.

PY - 1998

Y1 - 1998

N2 - In this paper we analyse a multiserver queueing model with locking. The model is motivated by a situation we encountered at a maintenance facility for trains. Maintenance is done at parallel tracks where each track offers space to two trains. Trains can enter and leave the tracks from one and the same side only. This gives rise to locking of the front train: in order to leave the maintenance track the front train has to wait till maintenance of the back train (if there is one) has also been completed. Hence, part of the maintenance (or track) capacity is lost. The queueing model is used to investigate the loss of capacity and its effect on sojourn times. The performance of this system is also compared with other designs. A surprising result is that in light traffic it is better to use only half of the track capacity by allowing no more than one train at a maintenance track.

AB - In this paper we analyse a multiserver queueing model with locking. The model is motivated by a situation we encountered at a maintenance facility for trains. Maintenance is done at parallel tracks where each track offers space to two trains. Trains can enter and leave the tracks from one and the same side only. This gives rise to locking of the front train: in order to leave the maintenance track the front train has to wait till maintenance of the back train (if there is one) has also been completed. Hence, part of the maintenance (or track) capacity is lost. The queueing model is used to investigate the loss of capacity and its effect on sojourn times. The performance of this system is also compared with other designs. A surprising result is that in light traffic it is better to use only half of the track capacity by allowing no more than one train at a maintenance track.

M3 - Report

T3 - Memorandum COSOR

BT - A multi-server queueing model with locking

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -

Adan IJBF, Kok, de AG, Resing JAC. A multi-server queueing model with locking. Eindhoven: Technische Universiteit Eindhoven, 1998. 13 p. (Memorandum COSOR).