메뉴 건너뛰기




Volumn 154, Issue 9, 2006, Pages 1344-1357

An annotated bibliography of combinatorial optimization problems with fixed cardinality constraints

Author keywords

Annotated bibliography; Cardinality constraint; Combinatorial optimization

Indexed keywords

CONSTRAINT THEORY; INTEGRATED CIRCUIT LAYOUT; OPTIMIZATION; PLANNING; PROBLEM SOLVING; SET THEORY; TELECOMMUNICATION SYSTEMS;

EID: 33646053771     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2005.05.036     Document Type: Article
Times cited : (47)

References (131)
  • 2
    • 0005835320 scopus 로고
    • Finding k points with minimum diameter and related problems
    • Aggarwal A., Imai H., Katoh N., and Suri S. Finding k points with minimum diameter and related problems. J. Algorithms 12 (1991) 38-56
    • (1991) J. Algorithms , vol.12 , pp. 38-56
    • Aggarwal, A.1    Imai, H.2    Katoh, N.3    Suri, S.4
  • 3
    • 38249013903 scopus 로고
    • Lot-sizing polyhedra with a cardinality constraint
    • Aghezzaf E.H., and Wolsey L.A. Lot-sizing polyhedra with a cardinality constraint. Oper. Res. Lett. 11 (1992) 13-18
    • (1992) Oper. Res. Lett. , vol.11 , pp. 13-18
    • Aghezzaf, E.H.1    Wolsey, L.A.2
  • 6
    • 0041313150 scopus 로고    scopus 로고
    • Polynomial time approximation algorithms for Euclidean TSP and other geometric problems
    • Preliminary version in: Proceedings of the 37th Annual IEEE Symposium on Foundations of Computer Science, IEEE Society Press, Piscataway NJ, 1998, pp. 2-11
    • Arora S. Polynomial time approximation algorithms for Euclidean TSP and other geometric problems. J. Assoc. Comput. Mach. 45 5 (1998) 1-30 Preliminary version in: Proceedings of the 37th Annual IEEE Symposium on Foundations of Computer Science, IEEE Society Press, Piscataway NJ, 1998, pp. 2-11
    • (1998) J. Assoc. Comput. Mach. , vol.45 , Issue.5 , pp. 1-30
    • Arora, S.1
  • 7
    • 33646074359 scopus 로고    scopus 로고
    • Nearly linear time approximation schemes for Euclidean TSP and other geometric problems
    • Pardalos P.M., and Du D. (Eds), American Mathematical Society, Providence, RI
    • Arora S. Nearly linear time approximation schemes for Euclidean TSP and other geometric problems. In: Pardalos P.M., and Du D. (Eds). Network Design and Facilities Location, DIMACS Series in Discrete Mathematics vol. 40 (1998), American Mathematical Society, Providence, RI 1-2
    • (1998) Network Design and Facilities Location, DIMACS Series in Discrete Mathematics , vol.40 , pp. 1-2
    • Arora, S.1
  • 9
    • 0037845571 scopus 로고    scopus 로고
    • A 2.5-factor approximation algorithm for the k-MST problem
    • Arya S., and Ramesh H. A 2.5-factor approximation algorithm for the k-MST problem. Inform. Process. Lett. 65 (1998) 117-118
    • (1998) Inform. Process. Lett. , vol.65 , pp. 117-118
    • Arya, S.1    Ramesh, H.2
  • 13
    • 0032057918 scopus 로고    scopus 로고
    • New approximation guarantees for minimum-weight k-trees and prize-collecting salesmen
    • Awerbuch B., Azar Y., and Vempala S. New approximation guarantees for minimum-weight k-trees and prize-collecting salesmen. SIAM J. Comput. 28 1 (1998) 254-262
    • (1998) SIAM J. Comput. , vol.28 , Issue.1 , pp. 254-262
    • Awerbuch, B.1    Azar, Y.2    Vempala, S.3
  • 19
    • 33646060107 scopus 로고    scopus 로고
    • M.J. Blesa, F. Xhafa, A C ++ implementation of tabu search for k-cardinality tree problem, Presented at Second International Symposium on Generative and Component-based Software Engineering, Erfurt, Germany, October 2000.
  • 20
    • 33646049419 scopus 로고    scopus 로고
    • M.J. Blesa, F. Xhafa, The minimum weighted k-cardinality tree problem, http://www.lsi.upc.es/ ∼mjblesa/TSExperiments/minktree.html, 2000.
  • 21
    • 33646050677 scopus 로고    scopus 로고
    • C. Blum, Optimality criteria and local search methods for node-weighted k-cardinality tree and subgraph problems, Master's Thesis, Universität Kaiserslautern, Fachbereich Mathematik, 1998 (in German).
  • 22
    • 9544234488 scopus 로고    scopus 로고
    • C. Blum, M. Blesa, New metaheuristic approaches for the edge-weighted k-cardinality tree problem, Comput. Oper. Res. 32 (2005) 1355-1377.
  • 24
    • 84867973893 scopus 로고    scopus 로고
    • Local search algorithms for the k-cardinality tree problem
    • Blum C., and Ehrgott M. Local search algorithms for the k-cardinality tree problem. Discrete Appl. Math. 128 2-3 (2002) 511-540
    • (2002) Discrete Appl. Math. , vol.128 , Issue.2-3 , pp. 511-540
    • Blum, C.1    Ehrgott, M.2
  • 25
    • 0033077531 scopus 로고    scopus 로고
    • A constant-factor approximation for the k-MST problem
    • Blum A., Ravi R., and Vempala S. A constant-factor approximation for the k-MST problem. J. Comput. System Sci. 58 (1999) 101-108
    • (1999) J. Comput. System Sci. , vol.58 , pp. 101-108
    • Blum, A.1    Ravi, R.2    Vempala, S.3
  • 26
    • 43949173357 scopus 로고
    • On linear time minor tests with depth-first search
    • Bodlaender H.L. On linear time minor tests with depth-first search. J. Algorithms 14 (1993) 1-23
    • (1993) J. Algorithms , vol.14 , pp. 1-23
    • Bodlaender, H.L.1
  • 27
    • 33646039543 scopus 로고    scopus 로고
    • R. Borndörfer, C. Ferreira, A. Martin, Matrix decomposition by branch-and-cut, Technical Report SC-97-14, Konrad-Zuse-Zentrum für Informatiosntechnik, Berlin, 1997.
  • 29
    • 33646055542 scopus 로고    scopus 로고
    • J. Bramel, L. Chan, D. Simchi-Levi, Worst-case analysis of the modified LPT heuristic for the two-machine makespan problem with capacity constraints, Discrete Appl. Math., submitted.
  • 30
    • 33646063233 scopus 로고    scopus 로고
    • M. Bruglieri, K-cardinality cut problems, Ph.D. Thesis, Università di Milano, Dipartimento di Mathematica "F. Enriques", 2001.
  • 31
    • 1242287848 scopus 로고    scopus 로고
    • Cardinality constrained minimum cut problems: complexity and algorithms
    • Bruglieri M., Ehrgott M., and Maffioli F. Cardinality constrained minimum cut problems: complexity and algorithms. Discrete Appl. Math. 137 (2004) 311-341
    • (2004) Discrete Appl. Math. , vol.137 , pp. 311-341
    • Bruglieri, M.1    Ehrgott, M.2    Maffioli, F.3
  • 32
    • 0001460554 scopus 로고    scopus 로고
    • Genetic algorithm and graph partitioning
    • Bui T.N., and Moon B.R. Genetic algorithm and graph partitioning. IEEE Trans. Comput. 45 7 (1996) 841-855
    • (1996) IEEE Trans. Comput. , vol.45 , Issue.7 , pp. 841-855
    • Bui, T.N.1    Moon, B.R.2
  • 33
    • 0001456083 scopus 로고
    • Lexicographic bottleneck problems
    • Burkard R.E., and Rendl F. Lexicographic bottleneck problems. Oper. Res. Lett. 10 (1991) 303-308
    • (1991) Oper. Res. Lett. , vol.10 , pp. 303-308
    • Burkard, R.E.1    Rendl, F.2
  • 34
    • 0029636099 scopus 로고
    • Search-hide games on trees
    • Cao B. Search-hide games on trees. European J. Oper. Res. 80 (1995) 175-183
    • (1995) European J. Oper. Res. , vol.80 , pp. 175-183
    • Cao, B.1
  • 35
    • 0033879594 scopus 로고    scopus 로고
    • Approximation algorithms for knapsack problems with cardinality constraints
    • Caprara A., Kellerer H., Pferschy U., and Pisinger D. Approximation algorithms for knapsack problems with cardinality constraints. European J. Oper. Res. 123 (2000) 333-345
    • (2000) European J. Oper. Res. , vol.123 , pp. 333-345
    • Caprara, A.1    Kellerer, H.2    Pferschy, U.3    Pisinger, D.4
  • 36
    • 33646029762 scopus 로고    scopus 로고
    • F. Catanas, Heuristics for the p-minimal spanning tree problem, Technical report, Centre for Quantitative Finance, Imperial College, London, 1997.
  • 37
    • 0345856417 scopus 로고    scopus 로고
    • B. Chandra, M.M. Halldórsson, Approximation algorithms for dispersion problems, J. Algorithms 38 (2001) 438-465.
  • 38
    • 0242312727 scopus 로고    scopus 로고
    • Fast algorithms for k-shredders and k-node connectivity augmentation
    • Cheriyan J., and Thurimella R. Fast algorithms for k-shredders and k-node connectivity augmentation. J. Algorithms 33 (1999) 15-50
    • (1999) J. Algorithms , vol.33 , pp. 15-50
    • Cheriyan, J.1    Thurimella, R.2
  • 40
    • 0016898088 scopus 로고
    • The optimal partitioning of graphs
    • Christofides N., and Brooker P. The optimal partitioning of graphs. SIAM J. Appl. Math. 30 1 (1976) 55-69
    • (1976) SIAM J. Appl. Math. , vol.30 , Issue.1 , pp. 55-69
    • Christofides, N.1    Brooker, P.2
  • 41
    • 0009456436 scopus 로고    scopus 로고
    • Bin packing approximation algorithms: combinatorial analysis
    • Du D.-Z., and Pardalos P.M. (Eds), Kluwer, Dordrecht (Section 5.5)
    • Coffman Jr. E.G., and Galambos G. Bin packing approximation algorithms: combinatorial analysis. In: Du D.-Z., and Pardalos P.M. (Eds). Handbook of Combinatorial Optimization (1998), Kluwer, Dordrecht 1-47 (Section 5.5)
    • (1998) Handbook of Combinatorial Optimization , pp. 1-47
    • Coffman Jr., E.G.1    Galambos, G.2
  • 42
    • 0345402694 scopus 로고    scopus 로고
    • Discrete network location models
    • Drezner Z., and Hamacher H.W. (Eds), Springer, Berlin, Heidelberg, New York
    • Current J., Daskin M., and Schilling D. Discrete network location models. In: Drezner Z., and Hamacher H.W. (Eds). Facility Location-Applications and Theory (2002), Springer, Berlin, Heidelberg, New York 81-118
    • (2002) Facility Location-Applications and Theory , pp. 81-118
    • Current, J.1    Daskin, M.2    Schilling, D.3
  • 43
    • 0034239551 scopus 로고    scopus 로고
    • The cardinality-constrained shortest path problem in 2-graphs
    • Dahl G., and Realfsen B. The cardinality-constrained shortest path problem in 2-graphs. Networks 36 1 (2000) 1-8
    • (2000) Networks , vol.36 , Issue.1 , pp. 1-8
    • Dahl, G.1    Realfsen, B.2
  • 44
    • 3543065810 scopus 로고    scopus 로고
    • max problem, J. Heuristics. 10 (2004) 169-204.
  • 45
  • 47
    • 0035371945 scopus 로고    scopus 로고
    • Efficient algorithms and codes for k-cardinality assignment problem
    • Dell'Amico M., Lodi A., and Martello S. Efficient algorithms and codes for k-cardinality assignment problem. Discrete Appl. Math. 110 (2001) 25-40
    • (2001) Discrete Appl. Math. , vol.110 , pp. 25-40
    • Dell'Amico, M.1    Lodi, A.2    Martello, S.3
  • 48
    • 23944473116 scopus 로고    scopus 로고
    • P. Dell'Olmo, P. Hansen, S. Pallottino, G. Storchi, On uniform k-partition problems, Les Cahier du GERAD, G-2001-58, Discrete Appl. Math., submitted 150 (2005) 121-139.
  • 49
    • 33646039410 scopus 로고    scopus 로고
    • S. Ding, N. Ishii, A genetic algorithm approach on k-subtree problem, Technical Report, Department of Intelligence and Computer Science, Nagoya Institute of Technology, 2000.
  • 51
    • 0015661138 scopus 로고
    • Lower bounds for the partitioning of graphs
    • Donath W.E., and Hoffman A.J. Lower bounds for the partitioning of graphs. IBM J. Res. Develop. 17 (1973) 420-425
    • (1973) IBM J. Res. Develop. , vol.17 , pp. 420-425
    • Donath, W.E.1    Hoffman, A.J.2
  • 53
    • 0032164464 scopus 로고    scopus 로고
    • The computational complexity of the k-minimum spanning tree problem in graded matrices
    • Dudas T., Klinz B., and Woeginger G. The computational complexity of the k-minimum spanning tree problem in graded matrices. Comput. Math. Appl. 36 (1998) 61-67
    • (1998) Comput. Math. Appl. , vol.36 , pp. 61-67
    • Dudas, T.1    Klinz, B.2    Woeginger, G.3
  • 54
    • 33646021987 scopus 로고    scopus 로고
    • M. Ehrgott, Optimization problems in graphs under cardinality restrictions, Master's Thesis, Universität Kaiserslautern, Fachbereich Mathematik, 1992.
  • 56
    • 0030212975 scopus 로고    scopus 로고
    • K_TREE/K_SUBGRAPH: A program package for minimal weighted K-cardinality-trees and -subgraphs
    • http://optimierung.mathematik.uni-kl.de/project/index.html
    • Ehrgott M., and Freitag J. K_TREE/K_SUBGRAPH: A program package for minimal weighted K-cardinality-trees and -subgraphs. European J. Oper. Res. 93 1 (1996) 224-225. http://optimierung.mathematik.uni-kl.de/project/index.html http://optimierung.mathematik.uni-kl.de/project/index.html
    • (1996) European J. Oper. Res. , vol.93 , Issue.1 , pp. 224-225
    • Ehrgott, M.1    Freitag, J.2
  • 58
    • 64149107400 scopus 로고    scopus 로고
    • D. Eppstein, New algorithms for minimum area k-gons, Proceedings of the Third Annual ACM-SIAM Symposium on Discrete Algorithms, Orlando, Florida, United States, 1992, pp. 83-88.
  • 59
    • 0038913616 scopus 로고    scopus 로고
    • Faster geometric k-point MST approximation
    • Eppstein D. Faster geometric k-point MST approximation. Comput. Geometry 8 5 (1997) 231-240
    • (1997) Comput. Geometry , vol.8 , Issue.5 , pp. 231-240
    • Eppstein, D.1
  • 60
    • 0028460941 scopus 로고
    • Computational complexity of some maximum average weight problems with precedence constraints
    • Faigle U., and Kern W. Computational complexity of some maximum average weight problems with precedence constraints. Oper. Res. 42 4 (1994) 688-693
    • (1994) Oper. Res. , vol.42 , Issue.4 , pp. 688-693
    • Faigle, U.1    Kern, W.2
  • 61
    • 0005259971 scopus 로고    scopus 로고
    • The dense k-subgraph problem
    • Feige U., Kortsarz G., and Peleg D. The dense k-subgraph problem. Algorithmica 29 3 (2001) 410-421
    • (2001) Algorithmica , vol.29 , Issue.3 , pp. 410-421
    • Feige, U.1    Kortsarz, G.2    Peleg, D.3
  • 62
    • 0000801925 scopus 로고    scopus 로고
    • Approximation algorithms for maximization problems arising in graph partitioning
    • Feige U., and Langberg M. Approximation algorithms for maximization problems arising in graph partitioning. J. Algorithms 41 (2001) 174-211
    • (2001) J. Algorithms , vol.41 , pp. 174-211
    • Feige, U.1    Langberg, M.2
  • 63
    • 33646058057 scopus 로고    scopus 로고
    • U. Feige, M. Seltser, On the densest k-subgraph problem, Technical Report, Department of Applied Mathematics and Computer Science, The Weizmann Institute, Rehovot, Israel, 1997.
  • 64
    • 1842487510 scopus 로고    scopus 로고
    • W. Fernandez de la Vega, M. Karpinski, C. Kenyon, Approximation schemes for metric minimum bisection and partitioning, in: Proceedings of the 15th Annual ACM-SIAM Symposium on Discrete Algorithm (SODA), 2004, 506-515.
  • 65
    • 84996516648 scopus 로고
    • Weighted k-cardinality trees: complexity and polyhedral structure
    • Fischetti M., Hamacher H.W., Joernsten K., and Maffioli F. Weighted k-cardinality trees: complexity and polyhedral structure. Networks 24 (1994) 11-21
    • (1994) Networks , vol.24 , pp. 11-21
    • Fischetti, M.1    Hamacher, H.W.2    Joernsten, K.3    Maffioli, F.4
  • 66
    • 33646060466 scopus 로고    scopus 로고
    • L. Foulds, H.W. Hamacher, A new integer programming approach to (restricted) facilities layout problems allowing flexible facility shapes, Technical Report 1992-3, Department of Management Science, University of Waikato, 1992.
  • 67
    • 0043231018 scopus 로고    scopus 로고
    • Integer programming approaches to facilities layout models with forbidden areas
    • Foulds L., Hamacher H.W., and Wilson J. Integer programming approaches to facilities layout models with forbidden areas. Ann. Oper. Res. 81 (1998) 405-417
    • (1998) Ann. Oper. Res. , vol.81 , pp. 405-417
    • Foulds, L.1    Hamacher, H.W.2    Wilson, J.3
  • 68
    • 33646059939 scopus 로고    scopus 로고
    • J. Freitag, Minimal k-cardinality trees, Master's Thesis, Universität Kaiserslautern, Fachbereich Mathematik, 1993 (in German).
  • 69
    • 0346613559 scopus 로고    scopus 로고
    • Improved approximation algorithms for max k-cut and max bisection
    • Frieze A., and Jerrum M. Improved approximation algorithms for max k-cut and max bisection. Algorithmica 18 (1997) 67-81
    • (1997) Algorithmica , vol.18 , pp. 67-81
    • Frieze, A.1    Jerrum, M.2
  • 70
    • 33646069996 scopus 로고    scopus 로고
    • R. Fulkerson, I. Glicksberg, O. Gross, A production line assignment problem, Technical Report RM-1102, The Rand Corporation, Sta. Monica, CA, 1953.
  • 71
    • 0024719628 scopus 로고
    • Forest cover and polyhedral intersection theorems
    • Gamble A.B., and Pulleyblank W.R. Forest cover and polyhedral intersection theorems. Math. Programming 45 (1989) 45-58
    • (1989) Math. Programming , vol.45 , pp. 45-58
    • Gamble, A.B.1    Pulleyblank, W.R.2
  • 73
    • 0001189584 scopus 로고
    • An improved algorithm for bottleneck assignment problems
    • Garfinkel R. An improved algorithm for bottleneck assignment problems. Oper. Res. 19 (1971) 1747-1751
    • (1971) Oper. Res. , vol.19 , pp. 1747-1751
    • Garfinkel, R.1
  • 75
    • 0010521248 scopus 로고    scopus 로고
    • An O ( log k ) approximation algorithm for the k minimum spanning tree problem in the plane
    • Garg N., and Hochbaum D. An O ( log k ) approximation algorithm for the k minimum spanning tree problem in the plane. Algorithmica 18 (1997) 111-121
    • (1997) Algorithmica , vol.18 , pp. 111-121
    • Garg, N.1    Hochbaum, D.2
  • 76
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • Goemans M.X., and Williamson D.P. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J. Assoc. Comput. Mach. 42 (1995) 1115-1145
    • (1995) J. Assoc. Comput. Mach. , vol.42 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 78
  • 79
    • 1242331527 scopus 로고    scopus 로고
    • Approximation algorithms for minimum k-cut
    • Guttmann-Beck N., and Hassin R. Approximation algorithms for minimum k-cut. Algorithmica 27 2 (2000) 198-207
    • (2000) Algorithmica , vol.27 , Issue.2 , pp. 198-207
    • Guttmann-Beck, N.1    Hassin, R.2
  • 81
    • 33646021056 scopus 로고    scopus 로고
    • A. Hamacher, Numerical treatment of the travelling salesman selection problem, Master's Thesis, Mathematisches Institut, Universität zu Köln, 1993 (in German).
  • 82
    • 33646047179 scopus 로고    scopus 로고
    • H.W. Hamacher, K. Joernsten, Optimal relinquishment according to the Norwegian petrol law: a combinatorial optimization approach, Technical Report no. 7/93, Norwegian School of Economics and Business Administration, Bergen, 1993.
  • 83
    • 33646021353 scopus 로고    scopus 로고
    • H.W. Hamacher, K. Joernsten, F. Maffioli, Weighted k-cardinality trees, Technical Report 91.023, Politecnico di Milano, Dipartimento di Elettronica, 1991.
  • 84
    • 33646066350 scopus 로고    scopus 로고
    • The Euclidean traveling salesman selection problem
    • Zimmermann U., Derigs U., Gaul W., Möhring R.H., and Schuster K.P. (Eds), Springer, Berlin
    • Hamacher A., and Moll C. The Euclidean traveling salesman selection problem. In: Zimmermann U., Derigs U., Gaul W., Möhring R.H., and Schuster K.P. (Eds). Operations Research Proceedings 1995 (1996), Springer, Berlin 54-59
    • (1996) Operations Research Proceedings 1995 , pp. 54-59
    • Hamacher, A.1    Moll, C.2
  • 85
    • 0347126408 scopus 로고    scopus 로고
    • On center cycles in grid graphs
    • Hamacher H.W., and Schöbel A. On center cycles in grid graphs. Ann. Oper. Res. 122 (2003) 163-175
    • (2003) Ann. Oper. Res. , vol.122 , pp. 163-175
    • Hamacher, H.W.1    Schöbel, A.2
  • 86
    • 0010548027 scopus 로고
    • The NP-completeness of some edge-partition problems
    • Holyer J. The NP-completeness of some edge-partition problems. SIAM J. Comput. 10 (1981) 713-717
    • (1981) SIAM J. Comput. , vol.10 , pp. 713-717
    • Holyer, J.1
  • 87
    • 33646070631 scopus 로고
    • A kind of efficient algorithm on the optimal k-partitioning of the graphs
    • Jian L., and Xing min W. A kind of efficient algorithm on the optimal k-partitioning of the graphs. J. Huazhong Univ. Sci. Tech. 6 1 (1984) 1-12
    • (1984) J. Huazhong Univ. Sci. Tech. , vol.6 , Issue.1 , pp. 1-12
    • Jian, L.1    Xing min, W.2
  • 88
  • 89
    • 0002311288 scopus 로고    scopus 로고
    • Semidefinite programming and graph equipartition
    • Pardalos P.M., and Wolkowicz H. (Eds), American Mathematical Society, Providence, RI
    • Karisch S.E., and Rendl F. Semidefinite programming and graph equipartition. In: Pardalos P.M., and Wolkowicz H. (Eds). Topics in Semidefinite and Interior-Point Methods, Fields Institute Communications vol. 18 (1998), American Mathematical Society, Providence, RI 77-95
    • (1998) Topics in Semidefinite and Interior-Point Methods, Fields Institute Communications , vol.18 , pp. 77-95
    • Karisch, S.E.1    Rendl, F.2
  • 90
    • 33646019901 scopus 로고    scopus 로고
    • S. Kataoka, N. Araki, Lagrangian relaxation approach to the minimum rooted k-subtree problem, Technical Report, Department of Computer Science, The National Defense Academy, Yokosuka, Japan, 2000.
  • 91
    • 0033899877 scopus 로고    scopus 로고
    • Upper and lower bounding procedures for minimum rooted k-subtree problem
    • Kataoka S., Araki N., and Yamada T. Upper and lower bounding procedures for minimum rooted k-subtree problem. European J. Oper. Res. 122 3 (2000) 561-569
    • (2000) European J. Oper. Res. , vol.122 , Issue.3 , pp. 561-569
    • Kataoka, S.1    Araki, N.2    Yamada, T.3
  • 92
    • 0033477607 scopus 로고    scopus 로고
    • Cardinality constrained bin-packing problems
    • Kellerer H., and Pferschy U. Cardinality constrained bin-packing problems. Ann. Oper. Res. 92 (1999) 335-348
    • (1999) Ann. Oper. Res. , vol.92 , pp. 335-348
    • Kellerer, H.1    Pferschy, U.2
  • 93
    • 84990479742 scopus 로고
    • An efficient heuristic procedure for partitioning graphs
    • Kernighan B.W., and Lin S. An efficient heuristic procedure for partitioning graphs. Bell Syst. Tech. J. 49 (1970) 291-307
    • (1970) Bell Syst. Tech. J. , vol.49 , pp. 291-307
    • Kernighan, B.W.1    Lin, S.2
  • 95
    • 0016561620 scopus 로고
    • Analysis of several task-scheduling algorithms for a model of multiprogramming computer systems
    • Krause K.L., Shen V.Y., and Schwetman H.D. Analysis of several task-scheduling algorithms for a model of multiprogramming computer systems. J. ACM 22 (1975) 522-550
    • (1975) J. ACM , vol.22 , pp. 522-550
    • Krause, K.L.1    Shen, V.Y.2    Schwetman, H.D.3
  • 96
    • 84976753472 scopus 로고
    • Analysis of several task-scheduling algorithms for a model of multiprogramming computer systems, Errata
    • Krause K.L., Shen V.Y., and Schwetman H.D. Analysis of several task-scheduling algorithms for a model of multiprogramming computer systems, Errata. J. ACM 24 (1977) 527
    • (1977) J. ACM , vol.24 , pp. 527
    • Krause, K.L.1    Shen, V.Y.2    Schwetman, H.D.3
  • 98
    • 0003196883 scopus 로고    scopus 로고
    • Location problems
    • Dell'Amico M., Maffioli F., and Martello S. (Eds), Wiley, Chichester
    • Labbé M. Location problems. In: Dell'Amico M., Maffioli F., and Martello S. (Eds). Annotated Bibliographies in Combinatorial Optimization (1997), Wiley, Chichester 261-281
    • (1997) Annotated Bibliographies in Combinatorial Optimization , pp. 261-281
    • Labbé, M.1
  • 100
    • 77957101066 scopus 로고
    • Location on networks
    • Ball M.O., Magnanti T.L., Monma C.L., and Nemhauser G.L. (Eds), Elsevier, Amsterdam
    • Labbé M., Peeters D., and Thisse J. Location on networks. In: Ball M.O., Magnanti T.L., Monma C.L., and Nemhauser G.L. (Eds). Network Routing, Handbooks in OR & MS vol. 8 (1995), Elsevier, Amsterdam 551-624
    • (1995) Network Routing, Handbooks in OR & MS , vol.8 , pp. 551-624
    • Labbé, M.1    Peeters, D.2    Thisse, J.3
  • 101
    • 33646049420 scopus 로고    scopus 로고
    • E. Lawler, J. Lenstra, A. Rinooy Kan, D. Shmooys (Eds.), The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization, Wiley Interscience Series in Pure and Applied Mathematics, Wiley, Chichester, 1985.
  • 102
    • 0000651166 scopus 로고    scopus 로고
    • Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
    • Leighton T., and Rao S. Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms. J. Assoc. Comput. Mach. 46 6 (1999) 787-832
    • (1999) J. Assoc. Comput. Mach. , vol.46 , Issue.6 , pp. 787-832
    • Leighton, T.1    Rao, S.2
  • 104
    • 33646069700 scopus 로고    scopus 로고
    • F. Maffioli, Finding a best subtree of a tree, Technical Report 91.041, Politecnico di Milano, Dipartimento di Elettronica e Informazione, 1991.
  • 106
    • 33646025876 scopus 로고    scopus 로고
    • M. Mastrolilli, M. Hutter, Hybrid rounding techniques for knapsack problems, Discrete Appl. Math., in press.
  • 108
    • 33646047460 scopus 로고
    • Une characterisation des couplages de poids maximal et de cardinalité fixée dans les graphes pondérés finis
    • Minoux M. Une characterisation des couplages de poids maximal et de cardinalité fixée dans les graphes pondérés finis. Comptes rendues des sessions de la Academie des Sciences Paris, Serie, A 282 (1976) 353-354
    • (1976) Comptes rendues des sessions de la Academie des Sciences Paris, Serie, A , vol.282 , pp. 353-354
    • Minoux, M.1
  • 109
    • 0039331929 scopus 로고    scopus 로고
    • Guillotine subdivisions approximate polygonal subdivisions: a simple new method for the geometric k-MST problem
    • SIAM, Philadelphia, ACM, New York
    • Mitchell J. Guillotine subdivisions approximate polygonal subdivisions: a simple new method for the geometric k-MST problem. Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms (1996), SIAM, Philadelphia, ACM, New York 402-408
    • (1996) Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms , pp. 402-408
    • Mitchell, J.1
  • 110
    • 0032667193 scopus 로고    scopus 로고
    • Guillotine subdivisions approximate polygonal subdivisions: a simple polynomial-time approximation scheme for geometric TSP, k-MST, and related problems
    • Mitchell J. Guillotine subdivisions approximate polygonal subdivisions: a simple polynomial-time approximation scheme for geometric TSP, k-MST, and related problems. SIAM J. Comput. 28 4 (1999) 1298-1309
    • (1999) SIAM J. Comput. , vol.28 , Issue.4 , pp. 1298-1309
    • Mitchell, J.1
  • 111
    • 0032256590 scopus 로고    scopus 로고
    • A constant-factor approximation algorithm for the geometric k-MST problem in the plane
    • Mitchell J., Blum A., Chalasani P., and Vempala S. A constant-factor approximation algorithm for the geometric k-MST problem in the plane. SIAM J. Comput. 28 3 (1998) 771-781
    • (1998) SIAM J. Comput. , vol.28 , Issue.3 , pp. 771-781
    • Mitchell, J.1    Blum, A.2    Chalasani, P.3    Vempala, S.4
  • 112
    • 0041762627 scopus 로고    scopus 로고
    • The cardinality and precedence constrained maximum value sub-hypergraph problem and its applications
    • Nehme D., and Yu G. The cardinality and precedence constrained maximum value sub-hypergraph problem and its applications. Discrete Appl. Math. 74 (1997) 57-68
    • (1997) Discrete Appl. Math. , vol.74 , pp. 57-68
    • Nehme, D.1    Yu, G.2
  • 113
    • 33646057445 scopus 로고    scopus 로고
    • A. Philpott, N. Wormald, On the optimal extraction of ore from an open-cast mine, Technical Report, Department of Engineering Science, The University of Auckland, 1997.
  • 114
    • 33646026180 scopus 로고    scopus 로고
    • S. Rajagopalan, V. Vazirani, Logarithmic approximation of minimum weight k trees, 1995, Unpublished manuscript.
  • 116
    • 0028383620 scopus 로고
    • Heuristic and special case algorithms for dispersion problems
    • Ravi S., Rosenkrantz D., and Tayi G. Heuristic and special case algorithms for dispersion problems. Oper. Res. 42 (1994) 299-310
    • (1994) Oper. Res. , vol.42 , pp. 299-310
    • Ravi, S.1    Rosenkrantz, D.2    Tayi, G.3
  • 117
    • 21844490712 scopus 로고
    • A projection technique for partitioning the nodes of a graph
    • Rendl F., and Wolkowicz H. A projection technique for partitioning the nodes of a graph. Ann. Oper. Res. 58 (1995) 155-179
    • (1995) Ann. Oper. Res. , vol.58 , pp. 155-179
    • Rendl, F.1    Wolkowicz, H.2
  • 118
    • 3042806238 scopus 로고
    • Graph minors IV, tree-width and well-quasi-ordering
    • Robertson N., and Seymour P. Graph minors IV, tree-width and well-quasi-ordering. J. Combin. Theory Ser. B 48 (1990) 227-254
    • (1990) J. Combin. Theory Ser. B , vol.48 , pp. 227-254
    • Robertson, N.1    Seymour, P.2
  • 120
    • 33646072206 scopus 로고
    • The facility selection-location problem
    • Späth H. The facility selection-location problem. OR Spektrum 6 (1984) 141-146
    • (1984) OR Spektrum , vol.6 , pp. 141-146
    • Späth, H.1
  • 121
    • 0043174279 scopus 로고
    • Heuristically determining cliques of given cardinality and with minimal cost within weighted complete graphs
    • Späth H. Heuristically determining cliques of given cardinality and with minimal cost within weighted complete graphs. Z. Oper. Res. 29 (1985) 125-131
    • (1985) Z. Oper. Res. , vol.29 , pp. 125-131
    • Späth, H.1
  • 122
    • 0026820770 scopus 로고
    • Asymptotic analysis of an algorithm for balanced parallel processor scheduling
    • Tsai L.H. Asymptotic analysis of an algorithm for balanced parallel processor scheduling. SIAM J. Comput. 21 (1992) 59-94
    • (1992) SIAM J. Comput. , vol.21 , pp. 59-94
    • Tsai, L.H.1
  • 123
    • 1642336423 scopus 로고    scopus 로고
    • Variable neighborhood decomposition search for the edge weighted k-cardinality tree problem
    • Urosevic D., Brimberg J., and Mladenovic N. Variable neighborhood decomposition search for the edge weighted k-cardinality tree problem. Comput. Operat. Res. 31 (2004) 1205-1213
    • (2004) Comput. Operat. Res. , vol.31 , pp. 1205-1213
    • Urosevic, D.1    Brimberg, J.2    Mladenovic, N.3
  • 124
    • 33646031255 scopus 로고    scopus 로고
    • J.E. Ward, R.T. Wong, P. Lemke, A. Outjit, Properties of the tree K-median linear programming relaxation, Research Report CC-878-29, Institute for Interdisciplinary Engineering Studies, Purdue University, 1987.
  • 125
    • 0041953549 scopus 로고
    • Minimum covers of fixed cardinality in weighted graphs
    • White L.J. Minimum covers of fixed cardinality in weighted graphs. SIAM J. Appl. Math. 21 1 (1971) 104-113
    • (1971) SIAM J. Appl. Math. , vol.21 , Issue.1 , pp. 104-113
    • White, L.J.1
  • 126
    • 0025957510 scopus 로고
    • The maximal dispersion problem and the "first point outside the neighbourhood" heuristic
    • White D. The maximal dispersion problem and the "first point outside the neighbourhood" heuristic. Comput. Oper. Res. 18 1 (1991) 43-50
    • (1991) Comput. Oper. Res. , vol.18 , Issue.1 , pp. 43-50
    • White, D.1
  • 127
    • 0016473913 scopus 로고
    • An efficient algorithm for minimum k-covers of in weighted graphs
    • White L.J., and Gillerson M.L. An efficient algorithm for minimum k-covers of in weighted graphs. Math. Programming 8 (1975) 20-42
    • (1975) Math. Programming , vol.8 , pp. 20-42
    • White, L.J.1    Gillerson, M.L.2
  • 128
    • 0041756152 scopus 로고
    • Computing maximum valued regions
    • Woeginger G. Computing maximum valued regions. Acta Cybernet. 10 4 (1992) 303-315
    • (1992) Acta Cybernet. , vol.10 , Issue.4 , pp. 303-315
    • Woeginger, G.1
  • 130
    • 33646026474 scopus 로고    scopus 로고
    • H. Yang, Y. Ye, J. Zhang, An approximation algorithm for the two-parallel machines scheduling problem with capacity constraints, Working Paper, Department of Management Sciences, The University of Iowa, 2000.
  • 131
    • 33646060465 scopus 로고    scopus 로고
    • A. Zelikovsky, D. Lozevanu, Minimal and bounded trees, in: Tezele Congresului XVIII al Academiei Romano-Americane, Kishinev, 1993., pp. 25-26.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.