3D-Multi Constrained Heterogeneous Packing Using Genetic Approach

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Abstract:

This paper presents a combination of Genetic Algorithm (GA) and Tuning algorithm, for optimizing Three Dimensional (3D) arbitrary sized heterogeneous box packing into a container, by considering practical constraints facing in the logistics industries. Objective of this research is to pack four different shapes of boxes of varying sizes into a container of standard dimension, without violating various practical constraints. Inorder to obtain a real time feasible packing pattern, Genetic Algorithm is developed to maximize the container volume utilization and inturn profit [9]. It significantly improves the search efficiency with less computational time and loads most of the heterogeneous boxes into the container by considering its optimal position and orientation. Tuning algorithm is used to decode the genetic output into user understandable sequential packing pattern and to fill the left-out empty space inside the container. In general, GA in conjunction with the tuning algorithm is substantially better than those obtained by applying heuristics to the bin packing directly.

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Periodical:

Advanced Materials Research (Volumes 479-481)

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1825-1830

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February 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] D.E. Goldberg, "Genetic Algorithm in Search, Optimization and Machine Learning", Addison Wesley, (1998).

Google Scholar

[2] E.Hopper and B. Turton, "Application of Genetic Algorithm to Packing Problems – A Review", Springer Verlag, London, (1997), 279 -288.

Google Scholar

[3] KA Dowsland, EA Herbet, "Using Tree Search Bounds To Enhance A Genetic Algorithm Approach Two Rectangle Packing Problems", European Journal of Operation Research, (2006), 168, 390-402.

DOI: 10.1016/j.ejor.2004.04.030

Google Scholar

[4] R. E. Korf, "An Improved Algorithm for Optimal Bin Packing", International procding IJCAI, (2003 ), 1252 – 1258.

Google Scholar

[5] D.Pisinger, "Heuristic for Container Loading Problem", European Journal of Operation Research 141, (2002). 292 – 382.

Google Scholar

[6] H.Gehring, A. Bortfeldt, "A Genetic Algorithm for Solving the Container Loading Problem", International transactions in Operation Research, 44, (1997), 401 – 418.

DOI: 10.1111/j.1475-3995.1997.tb00095.x

Google Scholar

[7] S. Martello, D. Pisinger,"The Three Dimensional Bin Packing Problem", European Journal of Operation research 48, (2000), 256-267.

DOI: 10.1287/opre.48.2.256.12386

Google Scholar

[8] EE Bischoff, "Three Dimensional Packing of Items with Limited Load Bearing Strength", European Journal of Operation Research 168, (2004), 952-966.

DOI: 10.1016/j.ejor.2004.04.037

Google Scholar

[9] A. Bortfeldt and H. Gehring, "A Hybrid Genetic Algorithm for Container Loading Problem", European Journal of Operation Research 131, (2001), 143 -161.

DOI: 10.1016/s0377-2217(00)00055-2

Google Scholar

[10] SG. Christensen and D.M. Rousoe, "Container Loading with Multidrop Constraint", masters thesis, Informatics and mathematical Modelling, Technical University of Denmark, DTU, Lyngby, http://www2.imm.dtu.dk/pubdb/p.php?5225, (2007).

DOI: 10.13052/jsame2245-4551.2018003

Google Scholar

[11] A.P. Davies and E.E. Bischoff,"Weight Distribution Considerations In Container Loading" European Journal of Operation Research 114, (1999), 509-527.

DOI: 10.1016/s0377-2217(98)00139-8

Google Scholar

[12] John A George and Jennifer M George,"Packing Different Sized Circles into a Rectangular Container", European Journal of Operation Research 84, (1995), 693-712.

DOI: 10.1016/0377-2217(95)00032-l

Google Scholar

[13] E.K. Burke, M.R. Hyde, "Evolving Bin Packing Heuristic with Genetic Programming", School of computer science and information technology", UK. http://cs.nott.ac.uk/~mvh.

Google Scholar