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Volumn 13, Issue 2, 2007, Pages 99-132

Local search heuristics for Quadratic Unconstrained Binary Optimization (QUBO)

Author keywords

Heuristics; Integer programming; Local optimization; Quadratic pseudo Boolean functions; Quadratic unconstrained binary optimization

Indexed keywords

BENCHMARKING; BOOLEAN FUNCTIONS; COMPUTATIONAL METHODS; INTEGER PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING;

EID: 33847640544     PISSN: 13811231     EISSN: 15729397     Source Type: Journal    
DOI: 10.1007/s10732-007-9009-3     Document Type: Article
Times cited : (131)

References (71)
  • 1
    • 0000278106 scopus 로고
    • 0-1 Quadratic Programming Approach for the Optimal Solution of Two Scheduling Problems
    • Alidaee, B., G. A. Kochenberger, and A. Ahmadian. (1994). "0-1 Quadratic Programming Approach for the Optimal Solution of Two Scheduling Problems." International Journal of Systems Science 25, 401-408.
    • (1994) International Journal of Systems Science , vol.25 , pp. 401-408
    • Alidaee, B.1    Kochenberger, G.A.2    Ahmadian, A.3
  • 2
    • 0032143714 scopus 로고    scopus 로고
    • Simulated Annealing for the Unconstrained Quadratic Pseudo-Boolean Function
    • Alkhamis, T.M., M. Hasab, and M.A. Ahmed. (1998). "Simulated Annealing for the Unconstrained Quadratic Pseudo-Boolean Function." European Journal of Operational Research 108, 641-652.
    • (1998) European Journal of Operational Research , vol.108 , pp. 641-652
    • Alkhamis, T.M.1    Hasab, M.2    Ahmed, M.A.3
  • 3
    • 0002379452 scopus 로고    scopus 로고
    • A Scatter Search Approach to Unconstrained Quadratic Binary Programs
    • D. Corne, M. Dorigo, and F. Glover eds, McGraw-Hill, London, pp
    • Amini, M.M., B. Alidaee, and G.A. Kochemberger. (1999). "A Scatter Search Approach to Unconstrained Quadratic Binary Programs." In D. Corne, M. Dorigo, and F. Glover (eds.), New Ideas in Optimisation, McGraw-Hill, London, pp. 317-329.
    • (1999) New Ideas in Optimisation , pp. 317-329
    • Amini, M.M.1    Alidaee, B.2    Kochemberger, G.A.3
  • 6
    • 0024012514 scopus 로고
    • An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design
    • Barahona, F., M. Grötschel, M. Jünger, and G. Reinelt. (1988). "An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design." Operations Research 36, 493-513.
    • (1988) Operations Research , vol.36 , pp. 493-513
    • Barahona, F.1    Grötschel, M.2    Jünger, M.3    Reinelt, G.4
  • 8
    • 56449107505 scopus 로고
    • Or-library : Distributing Test Problems by Electronic Mail
    • Beasley, J.E. (1990). "Or-library : Distributing Test Problems by Electronic Mail." Journal of Operations Research Society 41, 1069-1072.
    • (1990) Journal of Operations Research Society , vol.41 , pp. 1069-1072
    • Beasley, J.E.1
  • 9
    • 0003900202 scopus 로고    scopus 로고
    • Heuristic Algorithms for the Unconstrained Binary Quadratic Programming Problem
    • Technical report, Management School, Imperial College, London, UK
    • Beasley, J.E. (1998). "Heuristic Algorithms for the Unconstrained Binary Quadratic Programming Problem." Technical report, Management School, Imperial College, London, UK.
    • (1998)
    • Beasley, J.E.1
  • 12
    • 0042456012 scopus 로고
    • The Max-cut Problem and Quadratic 0-1 Optimization, Polyhedral Aspects, Relaxations and Bounds
    • Boros, E. and P.L. Hammer. (1991). "The Max-cut Problem and Quadratic 0-1 Optimization, Polyhedral Aspects, Relaxations and Bounds." Annals of Operations Research 33, 151-180.
    • (1991) Annals of Operations Research , vol.33 , pp. 151-180
    • Boros, E.1    Hammer, P.L.2
  • 13
    • 0007035765 scopus 로고
    • Probabilistic Bounds and Algorithms for the Maximum Satisfiability Problem
    • Boros, E. and A. Prékopa. (1989). "Probabilistic Bounds and Algorithms for the Maximum Satisfiability Problem." Annals of Operations Research 21, 109-126.
    • (1989) Annals of Operations Research , vol.21 , pp. 109-126
    • Boros, E.1    Prékopa, A.2
  • 14
    • 0041705409 scopus 로고    scopus 로고
    • Optimal Cell Flipping to Minimize Channel Density in VLSI Design and Pseudo-Boolean Optimization
    • Boros, E., P.L. Hammer, M. Minoux, and D. Rader. (1999). "Optimal Cell Flipping to Minimize Channel Density in VLSI Design and Pseudo-Boolean Optimization." Discrete Applied Mathematics 90, 69-88.
    • (1999) Discrete Applied Mathematics , vol.90 , pp. 69-88
    • Boros, E.1    Hammer, P.L.2    Minoux, M.3    Rader, D.4
  • 15
    • 0007376719 scopus 로고
    • The DDT Method for Quadratic 0-1 Optimization
    • 39-1989, RUTCOR, Rutgers University
    • Boros, E., P.L. Hammer, and X. Sun. (1989). "The DDT Method for Quadratic 0-1 Optimization." Research Report RRR 39-1989, RUTCOR, Rutgers University.
    • (1989) Research Report RRR
    • Boros, E.1    Hammer, P.L.2    Sun, X.3
  • 16
    • 33847647853 scopus 로고    scopus 로고
    • A Max-flow Approach to Improved Lower Bounds for Quadratic 0-1 Minimization
    • 7-2006, RUTCOR, Rutgers University
    • Boros, E., P.L. Hammer, R. Sun, and G. Tavares. (2006). "A Max-flow Approach to Improved Lower Bounds for Quadratic 0-1 Minimization." Research Report RRR 7-2006, RUTCOR, Rutgers University.
    • (2006) Research Report RRR
    • Boros, E.1    Hammer, P.L.2    Sun, R.3    Tavares, G.4
  • 17
    • 34948819294 scopus 로고    scopus 로고
    • Preprocessing of Unconstrained Quadratic Binary Optimization
    • 10-2006, RUTCOR, Rutgers University
    • Boros, E., P.L. Hammer, and G. Tavares. (2006). "Preprocessing of Unconstrained Quadratic Binary Optimization." Research Report RRR 10-2006, RUTCOR, Rutgers University.
    • (2006) Research Report RRR
    • Boros, E.1    Hammer, P.L.2    Tavares, G.3
  • 19
    • 33847659884 scopus 로고
    • Robust Delay Fault Built-in Self-testing Method and Apparatus
    • United States Patent, 5,422,891, June 6
    • Bushnell, M.L. and IP. Shaik. (1995). "Robust Delay Fault Built-in Self-testing Method and Apparatus." United States Patent # 5,422,891, June 6.
    • (1995)
    • Bushnell, M.L.1    Shaik, I.P.2
  • 20
    • 0021133826 scopus 로고
    • The Indefinite Zero-one Quadratic Problem
    • Carter, M.W. (1984). "The Indefinite Zero-one Quadratic Problem." Discrete Applied Mathematics 7, 23-44.
    • (1984) Discrete Applied Mathematics , vol.7 , pp. 23-44
    • Carter, M.W.1
  • 21
    • 21844494045 scopus 로고
    • Valid Inequalities and Facets for a Hypergraph Model of the Nonlinear Knapsack and Fms Part-selection Problems
    • Crama, Y. and J .B. Mazzola. ( 1995). "Valid Inequalities and Facets for a Hypergraph Model of the Nonlinear Knapsack and Fms Part-selection Problems." Annals of Operations Research 58, 99-128.
    • (1995) Annals of Operations Research , vol.58 , pp. 99-128
    • Crama, Y.1    Mazzola, J.B.2
  • 22
  • 26
    • 0032026737 scopus 로고    scopus 로고
    • Adaptative Memory Tabu Search for Binary Quadratic Programs
    • Glover, F., G. Kochenberger, and B. Alidaee. (1998a). "Adaptative Memory Tabu Search for Binary Quadratic Programs." Management Science, 44(3), 336-345.
    • (1998) Management Science , vol.44 , Issue.3 , pp. 336-345
    • Glover, F.1    Kochenberger, G.2    Alidaee, B.3
  • 27
    • 0004071341 scopus 로고    scopus 로고
    • Tabu Search with Critical Event Memory: An Enhanced Application for Binary Quadratic Programs
    • S. Voss, S. Martello, I. Osman, and C. Roucairol eds, Kluwer Academic Publishers, pp
    • Glover, F., G.A. Kochenberger, B. Alidaee, and M. Amini. (1998b). "Tabu Search with Critical Event Memory: An Enhanced Application for Binary Quadratic Programs." In S. Voss, S. Martello, I. Osman, and C. Roucairol (eds.), Meta-heuristics-Advances and Trends in Local Search Paradigms for Optimization, Kluwer Academic Publishers, pp. 83-109.
    • (1998) Meta-heuristics-Advances and Trends in Local Search Paradigms for Optimization , pp. 83-109
    • Glover, F.1    Kochenberger, G.A.2    Alidaee, B.3    Amini, M.4
  • 30
    • 0013413602 scopus 로고
    • Plant Location-A Pseudo-boolean Approach
    • Hammer, P.L. (1968). "Plant Location-A Pseudo-boolean Approach." Israel Journal of Technology 6, 330-332.
    • (1968) Israel Journal of Technology , vol.6 , pp. 330-332
    • Hammer, P.L.1
  • 33
    • 33847610911 scopus 로고
    • Applications of Pseudo-boolean Methods to Economic Problems
    • Hammer, P.L. and E. Shliffer. (1971). "Applications of Pseudo-boolean Methods to Economic Problems." Theory and Decision 1, 296-308.
    • (1971) Theory and Decision , vol.1 , pp. 296-308
    • Hammer, P.L.1    Shliffer, E.2
  • 34
    • 0346361894 scopus 로고
    • On the Determination of the Minima of Pseudo-Boolean Functions
    • in Romanian
    • Hammer, P.L., I. Rosenberg, and S. Rudeanu. (1963). "On the Determination of the Minima of Pseudo-Boolean Functions." Stud Cere. Mat. 14, 359-364 (in Romanian).
    • (1963) Stud Cere. Mat , vol.14 , pp. 359-364
    • Hammer, P.L.1    Rosenberg, I.2    Rudeanu, S.3
  • 35
    • 0034294365 scopus 로고    scopus 로고
    • A Comparison between Simulated Annealing, Genetic Algorithm and Tabu Search Methods for the Unconstrained Quadratic Pseudo-Boolean Function
    • Hasab, M., T. Alkhamis, and J. Ali. (2000). "A Comparison between Simulated Annealing, Genetic Algorithm and Tabu Search Methods for the Unconstrained Quadratic Pseudo-Boolean Function." Computers & Industrial Engineering 38, 323-340.
    • (2000) Computers & Industrial Engineering , vol.38 , pp. 323-340
    • Hasab, M.1    Alkhamis, T.2    Ali, J.3
  • 36
    • 0041353723 scopus 로고    scopus 로고
    • Solving Quadratic (0,1)-problems by Semidefinite Programs and Cutting Planes
    • Helmberg, C. and F. Rendl. (1998). "Solving Quadratic (0,1)-problems by Semidefinite Programs and Cutting Planes." Mathematical Programming 82, 291-315.
    • (1998) Mathematical Programming , vol.82 , pp. 291-315
    • Helmberg, C.1    Rendl, F.2
  • 38
    • 0028374961 scopus 로고
    • Quadratic 0-1 Optimization and a Decomposition Approach for the Placement of Electronic Circuits
    • Jünger, M., A. Martin, G. Reinelt, and R. Weismantel. (1994). "Quadratic 0-1 Optimization and a Decomposition Approach for the Placement of Electronic Circuits." Mathematical Programming 63, 257-279.
    • (1994) Mathematical Programming , vol.63 , pp. 257-279
    • Jünger, M.1    Martin, A.2    Reinelt, G.3    Weismantel, R.4
  • 39
    • 84989694511 scopus 로고
    • An Algorithm for Quadratic Zero-one Programs
    • Kalantari, B. and A. Bagchi. (1990). "An Algorithm for Quadratic Zero-one Programs." Naval Research Logistics 37, 527-538.
    • (1990) Naval Research Logistics , vol.37 , pp. 527-538
    • Kalantari, B.1    Bagchi, A.2
  • 40
    • 0035480453 scopus 로고    scopus 로고
    • Performance of Simulated Annealing-based Heuristic for the Unconstrained Binary Quadratic Programming Problem
    • Katayama, K. and H. Narihisa. (2001). "Performance of Simulated Annealing-based Heuristic for the Unconstrained Binary Quadratic Programming Problem." European Journal of Opeational Research 134, 103-119.
    • (2001) European Journal of Opeational Research , vol.134 , pp. 103-119
    • Katayama, K.1    Narihisa, H.2
  • 41
    • 0000842524 scopus 로고    scopus 로고
    • Solving Large Binary Quadratic Programming Problems by Effective Genetic Local Search Algorithm
    • L.D. Whitley, D.E. Goldberg, E. Cantú-Paz, L. Spector, I.C. Parmee, and H.-G. Beyer eds, Morgan Kauffman, pp
    • Katayama, K., M. Tani, and H. Narihisa. (2000). "Solving Large Binary Quadratic Programming Problems by Effective Genetic Local Search Algorithm." In L.D. Whitley, D.E. Goldberg, E. Cantú-Paz, L. Spector, I.C. Parmee, and H.-G. Beyer (eds.), Proceedings of the Genetic and Evolutionaiy Computation Conference (GECCO 2000). Morgan Kauffman, pp. 643-650.
    • (2000) Proceedings of the Genetic and Evolutionaiy Computation Conference (GECCO 2000) , pp. 643-650
    • Katayama, K.1    Tani, M.2    Narihisa, H.3
  • 43
    • 0000953023 scopus 로고
    • New Results on the Completion Time Variance Minimization
    • Kubiak, W. (1995). "New Results on the Completion Time Variance Minimization." Discrete Applied Mathematics 58, 157-168.
    • (1995) Discrete Applied Mathematics , vol.58 , pp. 157-168
    • Kubiak, W.1
  • 44
    • 0039754646 scopus 로고
    • Quadratic Binary Programming with Applications to Capital Budgeting Problems
    • Laughhunn, D.J. (1970). "Quadratic Binary Programming with Applications to Capital Budgeting Problems." Operations Research 18, 454-461.
    • (1970) Operations Research , vol.18 , pp. 454-461
    • Laughhunn, D.J.1
  • 45
    • 0041671229 scopus 로고
    • Computational Experience with Capital Expenditure Programming Models Under Risk
    • Laughhunn, D.J. and D.E. Peterson. (1971). "Computational Experience with Capital Expenditure Programming Models Under Risk. J. Business Finance 3, 43-48.
    • (1971) J. Business Finance , vol.3 , pp. 43-48
    • Laughhunn, D.J.1    Peterson, D.E.2
  • 46
    • 33847674715 scopus 로고    scopus 로고
    • Liu, W., D. Wilkins, and B. Alidaee. (2005). A Hybrid Multi-exchange Local Search for Unconstrained Binary Quadratic Program. Technical Report HCES-09-05, Hearin Center for Enterprise Science, University of Mississippi.
    • Liu, W., D. Wilkins, and B. Alidaee. (2005). "A Hybrid Multi-exchange Local Search for Unconstrained Binary Quadratic Program." Technical Report HCES-09-05, Hearin Center for Enterprise Science, University of Mississippi.
  • 48
    • 0018986924 scopus 로고
    • An Implicit Enumeration Algorithm for Quadratic Integer Programming
    • McBride, R.D. and J.S. Yormark. (1980). "An Implicit Enumeration Algorithm for Quadratic Integer Programming." Management Science 26, 282-296.
    • (1980) Management Science , vol.26 , pp. 282-296
    • McBride, R.D.1    Yormark, J.S.2
  • 50
    • 0036496382 scopus 로고    scopus 로고
    • Greedy and Local Search Heuristics for the Unconstrained Binary Quadratic Programming Problem
    • Merz, P. and Freisleben, B. (2002). "Greedy and Local Search Heuristics for the Unconstrained Binary Quadratic Programming Problem." Journal of Heuristics 8(2), 197-213.
    • (2002) Journal of Heuristics , vol.8 , Issue.2 , pp. 197-213
    • Merz, P.1    Freisleben, B.2
  • 51
    • 8844265379 scopus 로고    scopus 로고
    • Memetic Algorithms for the Unconstrained Binary Quadratic Programming Problem
    • Merz, P. and K. Katayama. (2004). "Memetic Algorithms for the Unconstrained Binary Quadratic Programming Problem." Biosystems 78(1-3), 99-118.
    • (2004) Biosystems , vol.78 , Issue.1-3 , pp. 99-118
    • Merz, P.1    Katayama, K.2
  • 52
    • 4444246623 scopus 로고    scopus 로고
    • Multistart Tabu Search Strategies for the Unconstrained Binary Quadratic Optimization Problem
    • Palubeckis, G. (2004). "Multistart Tabu Search Strategies for the Unconstrained Binary Quadratic Optimization Problem." Annals of Operations Research 131, 259-282.
    • (2004) Annals of Operations Research , vol.131 , pp. 259-282
    • Palubeckis, G.1
  • 53
    • 0029211804 scopus 로고
    • A Heuristic-based Branch and Bound Algorithm for Unconstrained Quadratic Zero-one Programming
    • Palubeckis, G. (1995). "A Heuristic-based Branch and Bound Algorithm for Unconstrained Quadratic Zero-one Programming." Computing 54, 283-301.
    • (1995) Computing , vol.54 , pp. 283-301
    • Palubeckis, G.1
  • 54
    • 33749354873 scopus 로고    scopus 로고
    • Grasp Implementations for the Uncostrained Binary Quadratic Optimization Problem
    • Palubeckis, G. and A. Tomkevièius. (2002). "Grasp Implementations for the Uncostrained Binary Quadratic Optimization Problem." Information Technology and Control 24(3), 14-20.
    • (2002) Information Technology and Control , vol.24 , Issue.3 , pp. 14-20
    • Palubeckis, G.1    Tomkevièius, A.2
  • 55
    • 3042726474 scopus 로고
    • Optimal Test Generation in Combinational Networks by Pseudo-Boolean Programming
    • Papaioannou, S.G. (1977). "Optimal Test Generation in Combinational Networks by Pseudo-Boolean Programming." IEEE Transactions on Computers 26, 553-560.
    • (1977) IEEE Transactions on Computers , vol.26 , pp. 553-560
    • Papaioannou, S.G.1
  • 56
    • 0026115796 scopus 로고
    • Construction of Test Problems in Quadratic Bivalent Programming
    • Pardalos, P.M. (1991). "Construction of Test Problems in Quadratic Bivalent Programming. ACM Transactions on Mathematical Software 17(1), 74-87.
    • (1991) ACM Transactions on Mathematical Software , vol.17 , Issue.1 , pp. 74-87
    • Pardalos, P.M.1
  • 57
    • 38249013747 scopus 로고
    • Complexity of Uniqueness and Local Search in Quadratic 0-1 Programming
    • Pardalos, P.M. and S Jha. (1992). "Complexity of Uniqueness and Local Search in Quadratic 0-1 Programming." Operations Research Letters 11, 119-123.
    • (1992) Operations Research Letters , vol.11 , pp. 119-123
    • Pardalos, P.M.1    Jha, S.2
  • 58
    • 0025673487 scopus 로고
    • Computational Aspects of a Branch and Bound Algorithm for Quadratic 0-1 Programming
    • Pardalos, P.M. and G.P. Rodgers. (1990). "Computational Aspects of a Branch and Bound Algorithm for Quadratic 0-1 Programming." Computing 45, 131-144.
    • (1990) Computing , vol.45 , pp. 131-144
    • Pardalos, P.M.1    Rodgers, G.P.2
  • 59
    • 0026897860 scopus 로고
    • A Branch and Bound Algorithm for the Maximum Clique Problem
    • Pardalos, P.M. and G.P. Rodgers. (1992). "A Branch and Bound Algorithm for the Maximum Clique Problem." Computers and Operations Research 19, 363-375.
    • (1992) Computers and Operations Research , vol.19 , pp. 363-375
    • Pardalos, P.M.1    Rodgers, G.P.2
  • 61
    • 0000034070 scopus 로고
    • A Quadratic Assignment Formulation for the Molecular Conformation Problem
    • Phillips, A.T. and J.B. Rosen. (1994). "A Quadratic Assignment Formulation for the Molecular Conformation Problem." Journal of Global Optimization 4, 229-241.
    • (1994) Journal of Global Optimization , vol.4 , pp. 229-241
    • Phillips, A.T.1    Rosen, J.B.2
  • 62
    • 0016565825 scopus 로고
    • Minimum Cuts and Related Problems
    • Picard, J.C. and H.D. Ratliff. (1975). "Minimum Cuts and Related Problems." Networks 5, 357-370.
    • (1975) Networks , vol.5 , pp. 357-370
    • Picard, J.C.1    Ratliff, H.D.2
  • 63
    • 0017969752 scopus 로고
    • A Cut Approach to the Rectilinear Facility Location Problem
    • Picard, J.C. and H.D. Ratliff. (1978). "A Cut Approach to the Rectilinear Facility Location Problem." Operations Research 26, 422-433.
    • (1978) Operations Research , vol.26 , pp. 422-433
    • Picard, J.C.1    Ratliff, H.D.2
  • 64
    • 85004775322 scopus 로고
    • An Algorithm for Maximum Likelihood Ranking and Slater's i from Paired Comparisons
    • Ranyard, R.H. (1976). "An Algorithm for Maximum Likelihood Ranking and Slater's i from Paired Comparisons." British Journal of Mathematical and Statistical Psychology 29, 242-248.
    • (1976) British Journal of Mathematical and Statistical Psychology , vol.29 , pp. 242-248
    • Ranyard, R.H.1
  • 66
    • 0343759460 scopus 로고
    • 0-1 Optimization and Non-linear Programming
    • Revue Française d'Automatique, d'Informatique et de Recherche Opérationnelle
    • Rosenberg, I.G. ( 1972). "0-1 Optimization and Non-linear Programming." Revue Française d'Automatique, d'Informatique et de Recherche Opérationnelle (Série Bleue) 2, 95-97.
    • (1972) Série Bleue , vol.2 , pp. 95-97
    • Rosenberg, I.G.1
  • 69
    • 0043035498 scopus 로고
    • Pseudo-Boolean Solutions to Multidimensional Location Problems
    • Warszawski, A. (1974). "Pseudo-Boolean Solutions to Multidimensional Location Problems." Operations Research 22, 1081-1085.
    • (1974) Operations Research , vol.22 , pp. 1081-1085
    • Warszawski, A.1
  • 70
    • 0001215366 scopus 로고
    • Capital Budgeting of Interrelated Projects: Survey and Synthesis
    • Weingartner, H.M. (1966). "Capital Budgeting of Interrelated Projects: Survey and Synthesis." Management Science 12, 485-516.
    • (1966) Management Science , vol.12 , pp. 485-516
    • Weingartner, H.M.1
  • 71
    • 0002146624 scopus 로고
    • Quadratic 0-1 Programming Using the Roof Dual with Computational Results
    • 8-1985, RUTCOR, Rutgers University, December
    • Williams, A.C. (1985). "Quadratic 0-1 Programming Using the Roof Dual with Computational Results." Research Report RRR 8-1985, RUTCOR, Rutgers University, December.
    • (1985) Research Report RRR
    • Williams, A.C.1


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