A semidefinite optimization-based approach for global optimization of multi-row facility layout

European Journal of Operational Research

Volumn 245, Issue 1, 2015, Pages 46-61

  Hungerländer, Philipp ^a   Anjos, Miguel F ^b  

^a UNIVERSITY OF KLAGENFURT   (Austria)

^b GERAD   (Canada)

Author keywords

Combinatorial optimization; Facilities planning and design; Flexible manufacturing systems; Global optimization; Semidefinite programming

Indexed keywords

BENCHMARKING; COMBINATORIAL OPTIMIZATION; FLEXIBLE MANUFACTURING SYSTEMS; GLOBAL OPTIMIZATION;

COMBINATORIAL STRUCTURES; DISCRETE OPTIMIZATION; DISCRETE OPTIMIZATION PROBLEMS; FACILITIES PLANNING AND DESIGN; FACILITY LAYOUT PROBLEMS; SEMI-DEFINITE PROGRAMMING; SEMIDEFINITE OPTIMIZATION; SEMIDEFINITE RELAXATION;

PLANT LAYOUT;

EID: 84927956745     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2015.02.049     Document Type: Article

References (60)

1. Amaral A.R.S. On the exact solution of a facility layout problem European Journal of Operational Research 173 2 2006 508 518
2. Amaral A.R.S. A new lower bound for the single row facility layout problem Discrete Applied Mathematics 157 1 2009 183 190
3. Amaral A.R.S. The corridor allocation problem Computers & Operations Research 39 12 2012 3325 3330
4. Amaral A.R.S. Optimal solutions for the double row layout problem Optimization Letters 7 2 2013 407 413
5. Amaral A.R.S. A parallel ordering problem in facilities layout Computers & Operations Research 40 12 2013 2930 2939
6. Amaral A.R.S.; and Letchford A.N. A polyhedral approach to the single row facility layout problem Mathematical Programming 141 2013 453 477
7. Anjos M.F.; Kennings A.; and Vannelli A. A semidefinite optimization approach for the single-row layout problem with unequal dimensions Discrete Optimization 2 2 2005 113 122
8. Anjos M.F.; and Lasserre J.B. (Eds.) Handbook on semidefinite, conic and polynomial optimization theory, algorithms, software and applications International Series in Operations Research & Management Science 2011 Springer-Verlag New York
9. Anjos M.F.; and Liers F. Global approaches for facility layout and VLSI floorplanning M.F. Anjos, J.B. Lasserre, Handbook on semidefinite, conic and polynomial optimization: Theory, algorithms, software and applications International Series in Operations Research and Management Science vol. 166 2012 Springer New York 849 877
10. Anjos M.F.; and Vannelli A. Computing globally optimal solutions for single-row layout problems using semidefinite programming and cutting planes INFORMS Journal on Computing 20 4 2008 611 617
11. Anjos M.F.; and Yen G. Provably near-optimal solutions for very large single-row facility layout problems Optimization Methods and Software 24 4 2009 805 817
12. Brusco M.J.; and Stahl S. Using quadratic assignment methods to generate initial permutations for least-squares unidimensional scaling of symmetric proximity matrices Journal of Classification 17 2 2000 197 223
13. Buchheim C.; Wiegele A.; and Zheng L. Exact algorithms for the quadratic linear ordering problem INFORMS Journal on Computing 22 1 2010 168 177
14. Chimani M.; and Hungerländer P. Exact approaches to multilevel vertical orderings INFORMS Journal on Computing 25 4 2013 611 624
15. Christof T. Low-dimensional 0/1-polytopes and branch-and-cut in combinatorial optimization (Ph.D. thesis) 1997 Ruprecht-Karls-Universität Heidelberg Aachen
16. Chung J.; and Tanchoco J.M.A. The double row layout problem International Journal of Production Research 48 3 2010 709 727
17. Datta D.; Amaral A.R.S.; and Figueira J.R. Single row facility layout problem using a permutation-based genetic algorithm European Journal of Operational Research 213 2 2011 388 394
18. Deza M.; and Laurent M. Geometry of cuts and metrics Algorithms and Combinatorics vol. 15 1997 Springer Verlag Berlin
19. Dickey J.W.; and Hopkins J.W. Campus building arrangement using topaz Transportation Research 6 1 1972 59 68
20. Elshafei A.N. Hospital layout as a quadratic assignment problem Operational Research Quarterly 28 1 1977 167 179
21. Fischer I.; Gruber G.; Rendl F.; and Sotirov R. Computational experience with a bundle method for semidefinite cutten plane relaxations of max-cut and equipartition Mathematical Programming 105 2006 451 469
22. Garey M.R.; and Johnson D.S. Computers and intractability: A guide to the theory of NP-completeness 1979 W. H. Freeman & Co. New York, NY
23. Garey M.R.; Johnson D.S.; and Stockmeyer L. Some simplified np-complete problems STOC'74: Proceedings of the sixth annual ACM symposium on theory of computing 1974 ACM New York 47 63
24. Geoffrion A.; and Graves G. Scheduling parallel production lines with changeover costs: Practical applications of a quadratic assignment/lp approach Operations Research 24 1976 595 610
25. Goemans M.X.; and Williamson D.P. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming Journal of the ACM 42 1995 1115 1145
26. Hassan M.M.D. Machine layout problem in modern manufacturing facilities International Journal of Production Research 32 11 1994 2559 2584
27. Helmberg C.; Rendl F.; Vanderbei R.; and Wolkowicz H. An interior-point method for semidefinite programming SIAM Journal on Optimization 6 1996 342 361
28. Heragu S.S.; and Kusiak A. Machine layout problem in flexible manufacturing systems Operations Research 36 2 1988 258 268
29. Heragu S.S.; and Kusiak A. Efficient models for the facility layout problem European Journal of Operational Research 53 1 1991 1 13
30. Hungerländer P. Single-row equidistant facility layout as a special case of single-row facility layout International Journal of Production Research 52 5 2014 1257 1268
31. Hungerländer, P. (2014). A semidefinite optimization approach to the parallel row ordering problem. Technical Report, Alpen-Adria-Universität Klagenfurt.
32. Hungerländer P.; and Anjos M.F. A semidefinite optimization approach to space-free multi-row facility layout Cahier du GERAD G-2012-03 2012 GERAD Montreal, QC, Canada
33. Hungerländer P.; and Rendl F. A computational study and survey of methods for the single-row facility layout problem Computational Optimization and Applications 55 1 2013 1 20
34. Hungerländer P.; and Rendl F. Semidefinite relaxations of ordering problems Mathematical Programming 140 1 2013 77 97
35. Kothari R.; and Ghosh D. Tabu search for the single row facility layout problem using exhaustive 2-opt and insertion neighborhoods European Journal of Operational Research 224 1 2013 93 100
36. Kothari R.; and Ghosh D. Insertion based LinKernighan heuristic for single row facility layout Computers & Operations Research 40 1 2013 129 136
37. Kothari R.; and Ghosh D. A scatter search algorithm for the single row facility layout problem Journal of Heuristics 20 2 2014 125 142
38. Langevin A.; Montreuil B.; and Riopel D. Spine layout design International Journal of Production Research 32 2 1994 429 442
39. Laporte G.; and Mercure H. Balancing hydraulic turbine runners: A quadratic assignment problem European Journal of Operational Research 35 3 1988 378 381
40. Lovász L.; and Schrijver A. Cones of matrices and set-functions and 0-1 optimization SIAM Journal on Optimization 1 1991 166 190
41. Love R.F.; and Wong J.Y. On solving a one-dimensional space allocation problem with integer programming INFOR 14 1967 139 143
42. Meller R.; and Gau K.-Y. The facility layout problem: Recent and emerging trends and perspectives Journal of Manufacturing Systems 5 5 1996 351 366
43. Murray C.C.; Smith A.E.; and Zhang Z. An efficient local search heuristic for the double row layout problem with asymmetric material flow International Journal of Production Research 51 20 2013 6129 6139
44. Nearchou A.C. Meta-heuristics from nature for the loop layout design problem International Journal of Production Economics 101 2 2006 312 328
45. Ostrowski J.; Anjos M.F.; and Vannelli A. Tight mixed integer linear programming formulations for the unit commitment problem IEEE Transactions on Power Systems 27 1 2012 39 46
46. Picard J.-C.; and Queyranne M. On the one-dimensional space allocation problem Operations Research 29 2 1981 371 391
47. Pollatschek M.; Gershoni N.; and Radday Y. Optimization of the typewriter keyboard by computer simulation Angewandte Informatik 10 1976 438 439
48. Rendl F.; Rinaldi G.; and Wiegele A. Solving max-cut to optimality by intersecting semidefinite and polyhedral relaxations Mathematical Programming 212 2010 307 335
49. Samarghandi H.; and Eshghi K. An efficient tabu algorithm for the single row facility layout problem European Journal of Operational Research 205 1 2010 98 105
50. Sanjeevi S.; and Kianfar K. A polyhedral study of triplet formulation for single row facility layout problem Discrete Applied Mathematics 158 2010 1861 1867
51. Sarker B.R.; Wilhelm W.E.; and Hogg G.L. One-dimensional machine location problems in a multi-product flowline with equidistant locations European Journal of Operational Research 105 3 1998 401 426
52. Simmons D.M. One-dimensional space allocation: An ordering algorithm Operations Research 17 1969 812 826
53. Steinberg L. The backboard wiring problem: A placement algorithm SIAM Review 3 1 1961 37 50
54. Sturm J.F. Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones Optimization Methods and Software 11-12 1999 625 653
55. Tompkins J.A. Modularity and flexibility: Dealing with future shock in facilities design Industrial Engineering 12 1980 78 81
56. Wess B.; and Zeitlhofer T. On the phase coupling problem between data memory layout generation and address pointer assignment H. Schepers, Lecture Notes in Computer Science Software and compilers for embedded systems vol. 3199 2004 Springer Berlin Heidelberg 152 166
57. Wolkowicz H.; Saigal R.; and Vandenberghe L. Handbook of semidefinite programming 2000 Kluwer Academic Publishers Boston, MA
58. Yu J.; and Sarker B.R. Directional decomposition heuristic for a linear machine-cell location problem European Journal of Operational Research 149 1 2003 142 184
59. Zhang Z.; and Murray C. A corrected formulation for the double row layout problem International Journal of Production Research 50 15 2012 4220 4223
60. Zuo X.; Murray C.; and Smith A. Solving an extended double row layout problem using multiobjective tabu search and linear programming IEEE Transactions on Automation Science and Engineering 11 4 2014 1122 1132