메뉴 건너뛰기




Volumn 31, Issue 2, 2006, Pages 245-252

On the integrality ratio for the asymmetric traveling salesman problem

Author keywords

Approximation algorithm; Asymmetric traveling salesman problem; ATSP; Held Kaip relaxation; Integrality ratio

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

EID: 33748429746     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1060.0191     Document Type: Article
Times cited : (32)

References (27)
  • 1
    • 0028114541 scopus 로고
    • Molecular computation of solutions to combinatorial problems
    • Adleman, L. M. 1994. Molecular computation of solutions to combinatorial problems. Science 266 1021-1024.
    • (1994) Science , vol.266 , pp. 1021-1024
    • Adleman, L.M.1
  • 3
    • 0032156828 scopus 로고    scopus 로고
    • Polynomial-time approximation schemes for Euclidean TSP and other geometric problems
    • Arora, S. 1998. Polynomial-time approximation schemes for Euclidean TSP and other geometric problems, J. Assocation Comput. Machinery 45(5) 753-782.
    • (1998) J. Assocation Comput. Machinery , vol.45 , Issue.5 , pp. 753-782
    • Arora, S.1
  • 4
    • 0038416006 scopus 로고    scopus 로고
    • A new approximation algorithm for the asymmetric TSP with triangle inequality
    • Baltimore, MD
    • Bläser, M. 2003. A new approximation algorithm for the asymmetric TSP with triangle inequality. Proc. 14th Annual ACM-SIAM Sympos. Discrete Algorithms, Baltimore, MD, 638-645.
    • (2003) Proc. 14th Annual ACM-SIAM Sympos. Discrete Algorithms , pp. 638-645
    • Bläser, M.1
  • 7
    • 34249952823 scopus 로고
    • Optimizing over the subtour polytope of the traveling salesman problem
    • Boyd, S., W. R. Pulleyblank. 1990. Optimizing over the subtour polytope of the traveling salesman problem. Math. Programming 49 163-187.
    • (1990) Math. Programming , vol.49 , pp. 163-187
    • Boyd, S.1    Pulleyblank, W.R.2
  • 8
    • 17744389060 scopus 로고    scopus 로고
    • Towards a 4/3 approximation algorithm for the asymmetric TSP
    • Carr, R., S. Vempala. 2004. Towards a 4/3 approximation algorithm for the asymmetric TSP. Math. Programming 100 569-587.
    • (2004) Math. Programming , vol.100 , pp. 569-587
    • Carr, R.1    Vempala, S.2
  • 9
    • 0003522094 scopus 로고
    • Worst-case analysis of a new heuristic for the traveling salesman problem
    • Graduate School of Industrial Administration, Carnegie-Mellon University, Pittsburgh, PA
    • Christofides, N. 1976. Worst-case analysis of a new heuristic for the traveling salesman problem. Technical report, Graduate School of Industrial Administration, Carnegie-Mellon University, Pittsburgh, PA.
    • (1976) Technical Report
    • Christofides, N.1
  • 11
    • 0020097689 scopus 로고
    • On the worst-case performance of some algorithms for the asymmetric traveling salesman problem
    • Frieze, A. M., G. Galbiati, M. Maffioli. 1992. On the worst-case performance of some algorithms for the asymmetric traveling salesman problem. Networks 12 23-39.
    • (1992) Networks , vol.12 , pp. 23-39
    • Frieze, A.M.1    Galbiati, G.2    Maffioli, M.3
  • 12
    • 0000875467 scopus 로고
    • Survivable networks, linear programming relaxations and the parsimonious property
    • Goemans, M. X., D. Bertsimas. 1993. Survivable networks, linear programming relaxations and the parsimonious property. Math. Programming 60 145-166.
    • (1993) Math. Programming , vol.60 , pp. 145-166
    • Goemans, M.X.1    Bertsimas, D.2
  • 13
    • 0001050402 scopus 로고
    • The traveling salesman problem and minimum spanning trees
    • Held, M., R. M. Karp. 1970. The traveling salesman problem and minimum spanning trees. Oper. Res. 18 1138-1162.
    • (1970) Oper. Res. , vol.18 , pp. 1138-1162
    • Held, M.1    Karp, R.M.2
  • 14
    • 34250461535 scopus 로고
    • The traveling-salesman problem and minimum spanning trees: Part II
    • Held, M., R. M. Karp. 1971. The traveling-salesman problem and minimum spanning trees: Part II. Math. Programming 1 6-25.
    • (1971) Math. Programming , vol.1 , pp. 6-25
    • Held, M.1    Karp, R.M.2
  • 15
    • 33748439491 scopus 로고    scopus 로고
    • Personal communication
    • Johnson, D. S. 2004. Personal communication.
    • (2004)
    • Johnson, D.S.1
  • 16
    • 0003390495 scopus 로고    scopus 로고
    • Experimental analysis of heuristics for the STSP
    • G. Gutin, A. Punnen, eds. Kluwer Academic Publishers, Dordrecht, The Netherlands
    • Johnson, D. S., L. A. McGeoch. 2002. Experimental analysis of heuristics for the STSP. G. Gutin, A. Punnen, eds. The Traveling Salesman Problem and its Variations. Kluwer Academic Publishers, Dordrecht, The Netherlands, 369-443.
    • (2002) The Traveling Salesman Problem and Its Variations , pp. 369-443
    • Johnson, D.S.1    McGeoch, L.A.2
  • 21
    • 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. S. B. 1999. Guillotine subdivisions approximate polygonal subdivisions: A simple polynomial-time approximation scheme for geometric TSP, k-MST, and related problems. SIAM J. Comput. 28 1298-1309.
    • (1999) SIAM J. Comput. , vol.28 , pp. 1298-1309
    • Mitchell, J.S.B.1
  • 22
    • 0025387187 scopus 로고
    • Minimum-weight two-connected spanning networks
    • Monma, C., B. Munson, W. Pulleyblank. 1990. Minimum-weight two-connected spanning networks. Math. Programming 46 153-171.
    • (1990) Math. Programming , vol.46 , pp. 153-171
    • Monma, C.1    Munson, B.2    Pulleyblank, W.3
  • 25
    • 0025489266 scopus 로고
    • Analyzing the Held-Karp TSP bound: A monotonicity property with application
    • Shmoys, D., D. Williamson. 1990. Analyzing the Held-Karp TSP bound: A monotonicity property with application. Inform. Processing Lett. 35 281-285.
    • (1990) Inform. Processing Lett. , vol.35 , pp. 281-285
    • Shmoys, D.1    Williamson, D.2
  • 27
    • 0012612227 scopus 로고
    • Heuristic analysis, linear programming and branch and bound
    • Wolsey, L. A. 1980. Heuristic analysis, linear programming and branch and bound. Math. Programming Stud. 13 121-134.
    • (1980) Math. Programming Stud. , vol.13 , pp. 121-134
    • Wolsey, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.