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Volumn 146, Issue 1, 2005, Pages 27-42

Approximation algorithms for some vehicle routing problems

Author keywords

Approximation algorithm; Differential ratio; TSP; VRP

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CUSTOMER SATISFACTION; GRAPH THEORY; MATHEMATICAL MODELS; OPTIMIZATION; POLYNOMIALS;

EID: 12444324543     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2004.07.003     Document Type: Article
Times cited : (32)

References (27)
  • 1
    • 84995344698 scopus 로고
    • Structure preserving reductions among convex optimization problems
    • G. Ausiello, A. D'Atri, and M. Protasi Structure preserving reductions among convex optimization problems J. Comput. System Sci. 21 1980 136 153
    • (1980) J. Comput. System Sci. , vol.21 , pp. 136-153
    • Ausiello, G.1    D'Atri, A.2    Protasi, M.3
  • 3
    • 0016081081 scopus 로고
    • Transformation of multi-salesmen problem to the standard traveling salesman problem
    • M. Bellmore, and S. Hong Transformation of multi-salesmen problem to the standard traveling salesman problem J. Assoc. Comput. Mach. 21 1974 500 504
    • (1974) J. Assoc. Comput. Mach. , vol.21 , pp. 500-504
    • Bellmore, M.1    Hong, S.2
  • 4
    • 0003522094 scopus 로고
    • Worst-case analysis of a new heuristic for the traveling salesman problem
    • Graduate School of Industrial Administration, CMU
    • N. Christofides, Worst-case analysis of a new heuristic for the traveling salesman problem, Technical Report 338, Graduate School of Industrial Administration, CMU, 1976.
    • (1976) Technical Report , vol.338
    • Christofides, N.1
  • 6
    • 0030143697 scopus 로고    scopus 로고
    • On an approximation measure founded on the links between optimization and polynomial approximation theory
    • M. Demange, and V. Paschos On an approximation measure founded on the links between optimization and polynomial approximation theory Theoret. Comput. Sci. 158 1996 117 141
    • (1996) Theoret. Comput. Sci. , vol.158 , pp. 117-141
    • Demange, M.1    Paschos, V.2
  • 9
    • 0001548320 scopus 로고
    • Approximation algorithms for some routing problems
    • G.N. Fredrickson, M.S. Hecht, and C.E. Kim Approximation algorithms for some routing problems SIAM J. Comput. 7 1978 178 193
    • (1978) SIAM J. Comput. , vol.7 , pp. 178-193
    • Fredrickson, G.N.1    Hecht, M.S.2    Kim, C.E.3
  • 11
    • 0022162556 scopus 로고
    • Bounds and heuristics for capacitated routing problems
    • M. Haimovich, and A.H.G. Rinnooy Kan Bounds and heuristics for capacitated routing problems Math. Oper. Res. 10 1985 527 542
    • (1985) Math. Oper. Res. , vol.10 , pp. 527-542
    • Haimovich, M.1    Rinnooy Kan, A.H.G.2
  • 16
    • 0028525875 scopus 로고
    • Maximizing the number of unused colors in the vertex coloring problem
    • R. Hassin, and S. Lahav Maximizing the number of unused colors in the vertex coloring problem Inform. Process. Lett. 52 1994 87 90
    • (1994) Inform. Process. Lett. , vol.52 , pp. 87-90
    • Hassin, R.1    Lahav, S.2
  • 19
    • 0010774133 scopus 로고
    • On the distance constrained vehicle routing problem
    • C.-L. Li, D. Simchi-Levi, and M. Desrochers On the distance constrained vehicle routing problem Oper. Res. 40 1992 790 799
    • (1992) Oper. Res. , vol.40 , pp. 790-799
    • Li, C.-L.1    Simchi-Levi, D.2    Desrochers, M.3
  • 20
    • 0037097074 scopus 로고    scopus 로고
    • Differential approximation results for the traveling salesman and related problems
    • J. Monnot Differential approximation results for the traveling salesman and related problems Inform. Process. Lett. 82 2002 229 235
    • (2002) Inform. Process. Lett. , vol.82 , pp. 229-235
    • Monnot, J.1
  • 21
    • 7444240312 scopus 로고    scopus 로고
    • The maximum Hamiltonian path problem with specified endpoint
    • J. Monnot, The maximum Hamiltonian path problem with specified endpoint(s), European J. Oper. Res., 161 (2005) 721-735.
    • (2005) European J. Oper. Res. , vol.161 , pp. 721-735
    • Monnot, J.1
  • 22
    • 84974684564 scopus 로고    scopus 로고
    • Differential approximation results for the traveling salesman problem with distances 1 and 2
    • Lecture Notes in Computer Science
    • J. Monnot, V.Th. Paschos, S. Toulouse, Differential approximation results for the traveling salesman problem with distances 1 and 2, Proceedings of the 13th Symposium on Fundamentals of Computation Theory, Lecture Notes in Computer Science, vol. 2138, 2001, pp. 275-286.
    • (2001) Proceedings of the 13th Symposium on Fundamentals of Computation Theory , vol.2138 , pp. 275-286
    • Monnot, J.1    Paschos, V.Th.2    Toulouse, S.3
  • 24
    • 0001805669 scopus 로고
    • The traveling salesman problem with distances one and two
    • C. Papadimitriou, and M. Yannakakis The traveling salesman problem with distances one and two Math. Oper. Res. 18 1993 1 11
    • (1993) Math. Oper. Res. , vol.18 , pp. 1-11
    • Papadimitriou, C.1    Yannakakis, M.2
  • 25
    • 0007822544 scopus 로고
    • A staged primal-dual algorithm for finding a minimum cost perfect two-matching in an undirected graph
    • J.F. Pekny, and D.L. Miller A staged primal-dual algorithm for finding a minimum cost perfect two-matching in an undirected graph ORSA J. Comput. 6 1994 68 81
    • (1994) ORSA J. Comput. , vol.6 , pp. 68-81
    • Pekny, J.F.1    Miller, D.L.2
  • 27
    • 0019602121 scopus 로고
    • Measuring the quality of approximate solution to zero-one programming problems
    • E. Zemel Measuring the quality of approximate solution to zero-one programming problems Math. Oper. Res. 6 1981 319 332
    • (1981) Math. Oper. Res. , vol.6 , pp. 319-332
    • Zemel, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.