Nothing Special   »   [go: up one dir, main page]

skip to main content
article

Heuristics and lower bounds for the bin packing problem with conflicts

Published: 01 March 2004 Publication History

Abstract

In the bin packing problem with conflicts, the aim is to pack items into the minimum number of bins subject to incompatibility restrictions. Two lower bounding procedures and six heuristics for this problem are developed and compared.

References

[1]
{1} Laporte G, Desroches S. Examination timetabling by computer. Computers & Operations Research 1984;11:351-60.
[2]
{2} Jansen K. An approximation scheme for bin packing with conflicts. Journal of Combinatorial Optimization 1999;3: 363-77.
[3]
{3} Christofides N, Mingozzi A, Toth P. Loading problems. In: Christofides N, Mingozzi A, Toth P, Sandi C, editors. Combinatorial optimization. Chichester: Wiley, 1979. p. 339-69.
[4]
{4} Martello S, Toth P. Knapsack problems. Chichester: Wiley, 1990a.
[5]
{5} Hansen P, Hertz A, Kuplinsky J. Bounded vertex colorings of graphs. Discrete Mathematics 1993;111:305-12.
[6]
{6} Dycknoff H. A typology of cutting and packing problems. European Journal of Operational Research 1990;44: 145-59.
[7]
{7} Jansen K, Oehring S. Approximation algorithms for time constrained scheduling. Information and Computation 1997;132:85-108.
[8]
{8} Baker BS, Coffman EG. Mutual exclusion scheduling. Theoretical Computer Science 1996;162:225-43.
[9]
{9} Bodlaender H-L, Jansen K. On the complexity of scheduling incompatible jobs with unit-times. Mathematical Foundations of Computer Science, MFCS 93, LNCS 1993;711:291-300.
[10]
{10} Carter MW, Laporte G, Lee SY. Examination timetabling: algorithmic strategies and applications. Journal of the Operational Research Society 1996;47:373-83.
[11]
{11} Coffman Jr. EG, Garey MR, Johnson DS. Approximation algorithms for bin-packing--an updated survey. In: Ausiello G, Lucertini M, Serafini P, editors. Algorithm design for computer system design. Vienna: Springer, 1984. p. 49-106.
[12]
{12} Brélaz D. New methods to color the vertices of a graph. Communications of the Association for Computing Machinery 1979;22:251-6.
[13]
{13} Johnson DS. Approximation algorithms for combinatorial problems. Journal of Computer and System Science 1974;9:256-78.
[14]
{14} Syslo MM, Deo N, Kowalik JS. Discrete optimization algorithms with PASCAL programs. Englewood Cliffs: Prentice-Hall, 1983.
[15]
{15} Falkenauer E. A hybrid grouping genetic algorithm. Journal of Heuristics 1996;2:5-30.
[16]
{16} Soriano P, Gendreau M. Tabu search algorithms for the maximum clique problem. In: Johnson DS, Trick MA, editors. Cliques, coloring and satisfiabitity. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 26. Providence: American Mathematical Society, 1996. p. 221-42.
[17]
{17} Martello S, Toth P. Lower bounds and reduction procedures for the bin packing problem. Discrete Applied Mathematics 1990b;28:59-70.

Cited By

View all
  • (2024)An adaptive large neighborhood search metaheuristic for the Generalized Bin Packing problem with incompatible categoriesComputers and Industrial Engineering10.1016/j.cie.2023.109586185:COnline publication date: 27-Feb-2024
  • (2024)Total cost ownership optimization of private clouds: a rack minimization perspectiveWireless Networks10.1007/s11276-021-02757-130:5(3855-3869)Online publication date: 1-Jul-2024
  • (2024)k-Times Bin Packing and its Application to Fair Electricity DistributionAlgorithmic Game Theory10.1007/978-3-031-71033-9_27(483-500)Online publication date: 3-Sep-2024
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image Computers and Operations Research
Computers and Operations Research  Volume 31, Issue 3
March 2004
159 pages

Publisher

Elsevier Science Ltd.

United Kingdom

Publication History

Published: 01 March 2004

Author Tags

  1. bin packing problem
  2. heuristics
  3. lower bounds

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 22 Sep 2024

Other Metrics

Citations

Cited By

View all
  • (2024)An adaptive large neighborhood search metaheuristic for the Generalized Bin Packing problem with incompatible categoriesComputers and Industrial Engineering10.1016/j.cie.2023.109586185:COnline publication date: 27-Feb-2024
  • (2024)Total cost ownership optimization of private clouds: a rack minimization perspectiveWireless Networks10.1007/s11276-021-02757-130:5(3855-3869)Online publication date: 1-Jul-2024
  • (2024)k-Times Bin Packing and its Application to Fair Electricity DistributionAlgorithmic Game Theory10.1007/978-3-031-71033-9_27(483-500)Online publication date: 3-Sep-2024
  • (2023)A tailored adaptive large neighborhood search algorithm for the air cargo partitioning problem with a piecewise linear cost functionSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-023-09033-827:23(17639-17656)Online publication date: 3-Aug-2023
  • (2022)Bin Packing Problem with Time LagsINFORMS Journal on Computing10.1287/ijoc.2022.116534:4(2249-2270)Online publication date: 1-Jul-2022
  • (2022)Models and Algorithms for the Bin-Packing Problem with Minimum Color FragmentationINFORMS Journal on Computing10.1287/ijoc.2021.112034:2(1070-1085)Online publication date: 1-Mar-2022
  • (2022)Stabilized Column Generation Via the Dynamic Separation of Aggregated RowsINFORMS Journal on Computing10.1287/ijoc.2021.109434:2(1141-1156)Online publication date: 1-Mar-2022
  • (2022)Using adaptive memory in GRASP to find minimum conflict-free spanning treesSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-022-07602-x27:8(4699-4712)Online publication date: 13-Nov-2022
  • (2022)A hybrid metaheuristic for the Knapsack Problem with ForfeitsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-021-06331-x26:2(749-762)Online publication date: 1-Jan-2022
  • (2022)On Conflict-Free Spanning Tree: Algorithms and ComplexityAlgorithms and Discrete Applied Mathematics10.1007/978-3-030-95018-7_8(91-102)Online publication date: 10-Feb-2022
  • Show More Cited By

View Options

View options

Get Access

Login options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media