A theoretical study of two-period relaxations for lot-sizing problems with big-bucket capacities

Kerem Akartunali; Mahdi Doostmohammadi; Ioannis Fragkos

A theoretical study of two-period relaxations for lot-sizing problems with big-bucket capacities

Kerem Akartunali, Mahdi Doostmohammadi, Ioannis Fragkos

Management Science

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Abstract

In this paper, we study two-period subproblems proposed by Akartunali et al. (2015) for lot-sizing problems with big-bucket capacities and nonzero setup times, complementing our previous work investigating the special case of zero setup times. In particular, we study the polyhedral structure of the mixed integer sets related to various two-period relaxations. We derive several families of valid inequalities and investigate their facet-defining conditions. We also discuss the separation problems associated with these valid inequalities.

Original language	English
Pages	105-109
Number of pages	5
Publication status	Published - 24 Aug 2015
Event	International Workshop on Lot-Sizing - University of Montreal, HEC, Montreal, Canada Duration: 24 Aug 2015 → 26 Aug 2015 http://www.emse.fr/~absi/IWLS2015/

Conference

Conference	International Workshop on Lot-Sizing
Abbreviated title	IWLS 2015
Country/Territory	Canada
City	Montreal
Period	24/08/15 → 26/08/15
Internet address	http://www.emse.fr/~absi/IWLS2015/

Keywords

lot-sizing problems
big-bucket capacities
nonzero setup times
polyhedral structure
inequalities
two-period relaxations

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Akartunali-IWLS2015-Theoretical-study-of-two-period-relaxationsAccepted author manuscript, 178 KBLicence: CC BY-ND 4.0

Cite this

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title = "A theoretical study of two-period relaxations for lot-sizing problems with big-bucket capacities",

abstract = "In this paper, we study two-period subproblems proposed by Akartunali et al. (2015) for lot-sizing problems with big-bucket capacities and nonzero setup times, complementing our previous work investigating the special case of zero setup times. In particular, we study the polyhedral structure of the mixed integer sets related to various two-period relaxations. We derive several families of valid inequalities and investigate their facet-defining conditions. We also discuss the separation problems associated with these valid inequalities.",

keywords = " lot-sizing problems, big-bucket capacities, nonzero setup times, polyhedral structure, inequalities, two-period relaxations",

author = "Kerem Akartunali and Mahdi Doostmohammadi and Ioannis Fragkos",

year = "2015",

month = aug,

day = "24",

language = "English",

pages = "105--109",

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TY - CONF

T1 - A theoretical study of two-period relaxations for lot-sizing problems with big-bucket capacities

AU - Akartunali, Kerem

AU - Doostmohammadi, Mahdi

AU - Fragkos, Ioannis

PY - 2015/8/24

Y1 - 2015/8/24

N2 - In this paper, we study two-period subproblems proposed by Akartunali et al. (2015) for lot-sizing problems with big-bucket capacities and nonzero setup times, complementing our previous work investigating the special case of zero setup times. In particular, we study the polyhedral structure of the mixed integer sets related to various two-period relaxations. We derive several families of valid inequalities and investigate their facet-defining conditions. We also discuss the separation problems associated with these valid inequalities.

AB - In this paper, we study two-period subproblems proposed by Akartunali et al. (2015) for lot-sizing problems with big-bucket capacities and nonzero setup times, complementing our previous work investigating the special case of zero setup times. In particular, we study the polyhedral structure of the mixed integer sets related to various two-period relaxations. We derive several families of valid inequalities and investigate their facet-defining conditions. We also discuss the separation problems associated with these valid inequalities.

KW - lot-sizing problems

KW - big-bucket capacities

KW - nonzero setup times

KW - polyhedral structure

KW - inequalities

KW - two-period relaxations

UR - http://www.emse.fr/~absi/IWLS2015/

UR - http://www.emse.fr/~absi/IWLS2015/proceedings_IWLS_2015.pdf

M3 - Paper

SP - 105

EP - 109

T2 - International Workshop on Lot-Sizing

Y2 - 24 August 2015 through 26 August 2015

ER -

A theoretical study of two-period relaxations for lot-sizing problems with big-bucket capacities

Abstract

Conference

Keywords

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Multi-Item Production Planning: Theory, Computation and Practice

Cite this

A theoretical study of two-period relaxations for lot-sizing problems with big-bucket capacities

Abstract

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Projects

Multi-Item Production Planning: Theory, Computation and Practice

Cite this