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Analysis of solution representation for the irregular shape packing problem

Analysis of solution representation for the irregular shape packing problem
Analysis of solution representation for the irregular shape packing problem
The irregular shape-packing problem has received increasing attention over the last 15 years. An analysis of the solution methods identifies two main approaches for representing the solution. These are, representing the solution as a sequence of pieces and searching over the sequence while applying a placement heuristic to generate the layout, and representing the problem as the layout directly and searching by moving pieces over the layout. Both approaches are competitive and each new publication brings better result with respect to the benchmark data sets. These improvements can be credited to better algorithm design and the inclusion of problem specific features, but as a result it is difficult to identify the effect some of the basic design decisions have on solution quality. We intend to investigate these two approaches and establish some principles of the strengths and weaknesses and gain a better understanding of how these solution representations impact solution quality and the effectiveness of the search. The algorithms have been developed using only the basic principles of both approaches and discarding any special features found in the literature
CORMSIS-09-14
University of Southampton
Bennell, J.A.
38d924bc-c870-4641-9448-1ac8dd663a30
Khaled, M.
73417891-e666-4a0a-ab1a-8787ce20b675
Ramakrishnan, K.
70b9d064-65df-40b9-badf-c86d308f2313
Bennell, J.A.
38d924bc-c870-4641-9448-1ac8dd663a30
Khaled, M.
73417891-e666-4a0a-ab1a-8787ce20b675
Ramakrishnan, K.
70b9d064-65df-40b9-badf-c86d308f2313

Bennell, J.A., Khaled, M. and Ramakrishnan, K. (2009) Analysis of solution representation for the irregular shape packing problem (Discussion Papers in Centre for Operational Research, Management Science and Information Systems, CORMSIS-09-14) Southampton, UK. University of Southampton

Record type: Monograph (Discussion Paper)

Abstract

The irregular shape-packing problem has received increasing attention over the last 15 years. An analysis of the solution methods identifies two main approaches for representing the solution. These are, representing the solution as a sequence of pieces and searching over the sequence while applying a placement heuristic to generate the layout, and representing the problem as the layout directly and searching by moving pieces over the layout. Both approaches are competitive and each new publication brings better result with respect to the benchmark data sets. These improvements can be credited to better algorithm design and the inclusion of problem specific features, but as a result it is difficult to identify the effect some of the basic design decisions have on solution quality. We intend to investigate these two approaches and establish some principles of the strengths and weaknesses and gain a better understanding of how these solution representations impact solution quality and the effectiveness of the search. The algorithms have been developed using only the basic principles of both approaches and discarding any special features found in the literature

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Published date: 2009

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Local EPrints ID: 71316
URI: https://eprints.soton.ac.uk/id/eprint/71316
PURE UUID: 34ad0966-427f-498a-8673-597a9ec94cfc

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Date deposited: 02 Feb 2010
Last modified: 19 Jul 2017 00:01

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Contributors

Author: J.A. Bennell
Author: M. Khaled
Author: K. Ramakrishnan

University divisions

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