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Volumn 35, Issue 2, 2003, Pages 111-127

TSP heuristics: Domination analysis and complexity

Author keywords

Approximation algorithms; Computational complexity; Domination analysis; Traveling salesman problem

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; GRAPH THEORY; ITERATIVE METHODS; POLYNOMIALS; TRAVELING SALESMAN PROBLEM; VECTORS;

EID: 0038170126     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-002-0986-1     Document Type: Article
Times cited : (33)

References (29)
  • 1
    • 0001897046 scopus 로고
    • A new heuristic for the traveling salesman problem
    • Carlier, J., and Villon, P., A New Heuristic for the Traveling Salesman Problem, RAIRO-Operations Research 24 (1990), 245-253.
    • (1990) RAIRO-Operations Research , vol.24 , pp. 245-253
    • Carlier, J.1    Villon, P.2
  • 2
    • 0003522094 scopus 로고
    • Worst-case analysis of a new heuristic for the traveling salesman problem
    • Report 388, Graduate School of Industrial Administration, Carnegie-Mellon University, Pittsburgh, PA
    • Christofides, N., Worst-Case Analysis of a New Heuristic for the Traveling Salesman Problem, Report 388, Graduate School of Industrial Administration, Carnegie-Mellon University, Pittsburgh, PA, 1976.
    • (1976)
    • Christofides, N.1
  • 3
    • 0029208215 scopus 로고
    • A note on the complexity of local search problems
    • Fischer, S. T., A Note on the Complexity of Local Search Problems, Information Processing Letters 53 (1995), 69-75.
    • (1995) Information Processing Letters , vol.53 , pp. 69-75
    • Fischer, S.T.1
  • 5
    • 0000204030 scopus 로고
    • Ejection chains, reference structures, and alternating path algorithms for the traveling salesman problem
    • Research Report, University of Colorado-Boulder, Graduate School of Business; (A short version appeared in Discrete Applied Mathematics 65 (1996), 223-253.)
    • Glover, F., Ejection Chains, Reference Structures, and Alternating Path Algorithms for the Traveling Salesman Problem, Research Report, University of Colorado-Boulder, Graduate School of Business, 1992. (A short version appeared in Discrete Applied Mathematics 65 (1996), 223-253.)
    • (1992)
    • Glover, F.1
  • 6
    • 0031140372 scopus 로고    scopus 로고
    • The traveling salesman problem: New solvable cases and linkages with the development of approximation algorithms
    • Glover, F., and Punnen, A.P., The Traveling Salesman Problem: New Solvable Cases and Linkages with the Development of Approximation Algorithms, Journal of the Operational Research Society 48 (1997), 502-510.
    • (1997) Journal of the Operational Research Society , vol.48 , pp. 502-510
    • Glover, F.1    Punnen, A.P.2
  • 7
    • 13844303260 scopus 로고
    • Local search and the local structure of NP-complete problems
    • Grover, L., Local Search and the Local Structure of NP-Complete Problems, Operations Research Letters 12 (1992), 235-243.
    • (1992) Operations Research Letters , vol.12 , pp. 235-243
    • Grover, L.1
  • 9
    • 35248897523 scopus 로고    scopus 로고
    • TSP heuristics with large domination number
    • TR-12, Department of Mathematics and Statistics, Brunel University
    • Gutin, G., and Yeo, A., TSP Heuristics with Large Domination Number, TR-12, Department of Mathematics and Statistics, Brunel University 1998.
    • (1998)
    • Gutin, G.1    Yeo, A.2
  • 10
    • 0035305859 scopus 로고    scopus 로고
    • TSP tour domination and Hamilton cycle decomposition of regular digraphs
    • Gutin, G., and Yeo, A., TSP Tour Domination and Hamilton Cycle Decomposition of Regular Digraphs, Operations Research Letters 28 (2001), 107-111.
    • (2001) Operations Research Letters , vol.28 , pp. 107-111
    • Gutin, G.1    Yeo, A.2
  • 11
    • 84867953589 scopus 로고    scopus 로고
    • Polynomial algorithms for the TSP and the QAP with a factorial domination number
    • Gutin, G., and Yeo, A., Polynomial Algorithms for the TSP and the QAP with a Factorial Domination Number, Discrete Applied Mathematics 119 (2002), 107-116.
    • (2002) Discrete Applied Mathematics , vol.119 , pp. 107-116
    • Gutin, G.1    Yeo, A.2
  • 12
    • 0942303484 scopus 로고    scopus 로고
    • Exponential neighborhoods and domination analysis for the TSP
    • Gutin, G., and Punnen, A., (editors), Kluwer, Boston, MA
    • Gutin, G., Yeo, A., and Zverovich, A., Exponential Neighborhoods and Domination Analysis for the TSP, in Traveling Salesman Problem and its Variations, pp. 223-256, Gutin, G., and Punnen, A., (editors), Kluwer, Boston, MA, 2002.
    • (2002) Traveling Salesman Problem and Its Variations , pp. 223-256
    • Gutin, G.1    Yeo, A.2    Zverovich, A.3
  • 13
    • 84867972837 scopus 로고    scopus 로고
    • Traveling salesman should not be greedy: Domination analysis of greedy type heuristics for the TSP
    • Gutin, G., Yeo, A., and Zverovich, A., Traveling Salesman Should Not Be Greedy: Domination Analysis of Greedy Type Heuristics for the TSP, Discrete Applied Mathematics 117 (2002), 81-86.
    • (2002) Discrete Applied Mathematics , vol.117 , pp. 81-86
    • Gutin, G.1    Yeo, A.2    Zverovich, A.3
  • 14
    • 0009640363 scopus 로고
    • The structure of the optimal solution of certain classes of travelling salesman problem
    • Klyaus, P.S., The Structure of the Optimal Solution of Certain Classes of Travelling Salesman Problem, Vestsi Akademii Nauk BSSR, Phys. Math. Sci., Minsk 1 (1976), 95-98.
    • (1976) Vestsi Akademii Nauk BSSR, Phys. Math. Sci., Minsk , vol.1 , pp. 95-98
    • Klyaus, P.S.1
  • 16
    • 0010049073 scopus 로고
    • An effective heuristic algorithm for the traveling salesman problem
    • Lin, S., and Kernighan, B.W., An Effective Heuristic Algorithm for the Traveling Salesman Problem, Operations Research 21 (1973), 972-989.
    • (1973) Operations Research , vol.21 , pp. 972-989
    • Lin, S.1    Kernighan, B.W.2
  • 18
    • 0037854822 scopus 로고
    • On two geometric problems related to the traveling salesman problem
    • Papadimitriou, C.H., and Vazirani, U., On Two Geometric Problems Related to the Traveling Salesman Problem, Journal of Algorithms 5 (1984), 231-246.
    • (1984) Journal of Algorithms , vol.5 , pp. 231-246
    • Papadimitriou, C.H.1    Vazirani, U.2
  • 19
    • 0346205975 scopus 로고    scopus 로고
    • The traveling salesman problem: New polynomial appro-ximation algorithms and domination analysis
    • Punnen, A.P., The Traveling Salesman Problem: New Polynomial Appro-ximation Algorithms and Domination Analysis, Journal of Information and Optimization 22 (2001), 191-206.
    • (2001) Journal of Information and Optimization , vol.22 , pp. 191-206
    • Punnen, A.P.1
  • 20
    • 0004086397 scopus 로고    scopus 로고
    • Implementing ejection chains with combinatorial leverage for the TSP
    • Research Report, University of Colorado-Boulder
    • Punnen, A.P., and Glover, F., Implementing Ejection Chains with Combinatorial Leverage for the TSP, Research Report, University of Colorado-Boulder, 1996.
    • (1996)
    • Punnen, A.P.1    Glover, F.2
  • 21
    • 84867965201 scopus 로고    scopus 로고
    • Domination analysis of some heuristics for the traveling salesman problem
    • Punnen, A.P., and Kabadi, S.N., Domination Analysis of Some Heuristics for the Traveling Salesman Problem, Discrete Applied Mathematics, 119 (2002), 117-128.
    • (2002) Discrete Applied Mathematics , vol.119 , pp. 117-128
    • Punnen, A.P.1    Kabadi, S.N.2
  • 22
    • 0003030458 scopus 로고
    • Parametric flows, weighted means of cuts and fractional combinatorial optimization
    • Pardalos, P.M. (editor), World Scientific, Singapore
    • Radzik, T., Parametric Flows, Weighted Means of Cuts and Fractional Combinatorial Optimization, in Complexity in Numerical Optimization, pp. 351-383, Pardalos, P.M. (editor), World Scientific, Singapore, 1993.
    • (1993) Complexity in Numerical Optimization , pp. 351-383
    • Radzik, T.1
  • 23
    • 0009617394 scopus 로고
    • Estimates of the accuracy of procedures in the traveling salesman problem
    • (in Russian)
    • Rublineckii, V.I., Estimates of the Accuracy of Procedures in the Traveling Salesman Problem (in Russian), Numerical Mathematics and Computer Technology IV (1973), 18-23.
    • (1973) Numerical Mathematics and Computer Technology , vol.4 , pp. 18-23
    • Rublineckii, V.I.1
  • 25
    • 0002851351 scopus 로고
    • Approximate solution of the traveling salesman problem by a local algorithm with scanning neighborhoods of factorial cardinality in cubic time
    • (in Russian); Mathematics Institute of the Belorussia Academy of Science, Minsk
    • Sarvanov, V.I., and Doroshko, N.N., Approximate Solution of the Traveling Salesman Problem by a Local Algorithm with Scanning Neighborhoods of Factorial Cardinality in Cubic Time (in Russian), Software: Algorithms and Programs, No. 31, pp. 11-13, Mathematics Institute of the Belorussia Academy of Science, Minsk, 1981.
    • (1981) Software: Algorithms and Programs , Issue.31 , pp. 11-13
    • Sarvanov, V.I.1    Doroshko, N.N.2
  • 26
    • 0016973706 scopus 로고
    • P-complete approximation problem
    • Sahni, S., and Gonzalez, T., P-Complete Approximation Problem, Journal of ACM 23 (1976), 555-565.
    • (1976) Journal of ACM , vol.23 , pp. 555-565
    • Sahni, S.1    Gonzalez, T.2
  • 28
    • 0942292876 scopus 로고
    • Values of the target functional in a priority problem that are majorized by the mean value
    • (in Russian)
    • Vizing, V.G., Values of the Target Functional in a Priority Problem That Are Majorized by the Mean Value (in Russian), Kibernetika (Kiev) No. 5 (1973), 76-78.
    • (1973) Kibernetika (Kiev) , Issue.5 , pp. 76-78
    • Vizing, V.G.1
  • 29
    • 0942292875 scopus 로고    scopus 로고
    • Large exponential neighborhoods for the traveling salesman problem
    • Preprint No. 47, Department of Mathematics and Computer Science, Odense University
    • Yeo, A., Large Exponential Neighborhoods for the Traveling Salesman Problem, Preprint No. 47, Department of Mathematics and Computer Science, Odense University, 1997.
    • (1997)
    • Yeo, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.