A new 0-1 formulation of the restricted container relocation problem based on a binary encoding of congurations

Submitted to EJOR June 2017

Bibliographic Details
Main Authors: Galle, Virgile, Barnhart, Cynthia, Jaillet, Patrick
Format: Article
Language:en_US
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/1721.1/109978
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author Galle, Virgile
Barnhart, Cynthia
Jaillet, Patrick
author_facet Galle, Virgile
Barnhart, Cynthia
Jaillet, Patrick
author_sort Galle, Virgile
collection MIT
description Submitted to EJOR June 2017
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institution Massachusetts Institute of Technology
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spelling mit-1721.1/1099782019-04-12T17:23:52Z A new 0-1 formulation of the restricted container relocation problem based on a binary encoding of congurations Galle, Virgile Barnhart, Cynthia Jaillet, Patrick OR in maritime industry Integer Programming Container Relocation Problem Block Relocation Problem Binary Encoding Submitted to EJOR June 2017 The Container Relocation Problem (CRP), also called Block Relocation Problem (BRP), is concerned with finding a sequence of moves of containers that minimizes the number of relocations needed to retrieve all containers, while respecting a given order of retrieval. The restricted CRP enforces that only containers blocking the target container can be relocated. We improve upon and enhance an existing binary encoding and using it, formulate the restricted CRP as a binary integer programming problem in which we exploit structural properties of the optimal solution. This integer programming formulation reduces significantly the number of variables and constraints compared to existing formulations. Its efficiency is shown through computational results on small and medium sized instances taken from the literature. 2017-06-16T19:28:10Z 2017-06-16T19:28:10Z 2017-06-16 2017-09-30 Article http://hdl.handle.net/1721.1/109978 en_US MIT Sloan School Working Paper;5199-17 Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf
spellingShingle OR in maritime industry
Integer Programming
Container Relocation Problem
Block Relocation Problem
Binary Encoding
Galle, Virgile
Barnhart, Cynthia
Jaillet, Patrick
A new 0-1 formulation of the restricted container relocation problem based on a binary encoding of congurations
title A new 0-1 formulation of the restricted container relocation problem based on a binary encoding of congurations
title_full A new 0-1 formulation of the restricted container relocation problem based on a binary encoding of congurations
title_fullStr A new 0-1 formulation of the restricted container relocation problem based on a binary encoding of congurations
title_full_unstemmed A new 0-1 formulation of the restricted container relocation problem based on a binary encoding of congurations
title_short A new 0-1 formulation of the restricted container relocation problem based on a binary encoding of congurations
title_sort new 0 1 formulation of the restricted container relocation problem based on a binary encoding of congurations
topic OR in maritime industry
Integer Programming
Container Relocation Problem
Block Relocation Problem
Binary Encoding
url http://hdl.handle.net/1721.1/109978
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