A note on the integrality gap of an ILP formulation for the periodic maintenance problem

A. Grigoriev; J. van de Klundert

doi:10.1016/j.orl.2011.04.006

A note on the integrality gap of an ILP formulation for the periodic maintenance problem

A. Grigoriev^*, J. van de Klundert

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We address the integrality gap of the integer linear program introduced by Grigoriev et al. (2006)[3] for the periodic maintenance problem. We prove that the integrality gap of this program is bounded by a constant. (C) 2011 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	252-254
Number of pages	3
Journal	Operations Research Letters
Volume	39
Issue number	4
DOIs	https://doi.org/10.1016/j.orl.2011.04.006
Publication status	Published - Jul 2011

Keywords

Scheduling
Preventive maintenance
Integer programming
Integrality gap
Approximation algorithm
SERVICE

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10.1016/j.orl.2011.04.006

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title = "A note on the integrality gap of an ILP formulation for the periodic maintenance problem",

abstract = "We address the integrality gap of the integer linear program introduced by Grigoriev et al. (2006)[3] for the periodic maintenance problem. We prove that the integrality gap of this program is bounded by a constant. (C) 2011 Elsevier B.V. All rights reserved.",

keywords = "Scheduling, Preventive maintenance, Integer programming, Integrality gap, Approximation algorithm, SERVICE",

author = "A. Grigoriev and \{van de Klundert\}, J.",

year = "2011",

month = jul,

doi = "10.1016/j.orl.2011.04.006",

language = "English",

volume = "39",

pages = "252--254",

journal = "Operations Research Letters",

issn = "0167-6377",

publisher = "Elsevier B.V.",

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T1 - A note on the integrality gap of an ILP formulation for the periodic maintenance problem

AU - Grigoriev, A.

AU - van de Klundert, J.

PY - 2011/7

Y1 - 2011/7

N2 - We address the integrality gap of the integer linear program introduced by Grigoriev et al. (2006)[3] for the periodic maintenance problem. We prove that the integrality gap of this program is bounded by a constant. (C) 2011 Elsevier B.V. All rights reserved.

AB - We address the integrality gap of the integer linear program introduced by Grigoriev et al. (2006)[3] for the periodic maintenance problem. We prove that the integrality gap of this program is bounded by a constant. (C) 2011 Elsevier B.V. All rights reserved.

KW - Scheduling

KW - Preventive maintenance

KW - Integer programming

KW - Integrality gap

KW - Approximation algorithm

KW - SERVICE

U2 - 10.1016/j.orl.2011.04.006

DO - 10.1016/j.orl.2011.04.006

M3 - Article

SN - 0167-6377

VL - 39

SP - 252

EP - 254

JO - Operations Research Letters

JF - Operations Research Letters

IS - 4

ER -

A note on the integrality gap of an ILP formulation for the periodic maintenance problem

Abstract

Keywords

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