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Volumn 48, Issue 2, 2006, Pages 77-89

On extended formulations for the precedence constrained asymmetric traveling salesman problem

Author keywords

Asymmetric traveling salesman problem; Cutting plane; Precedence constraints; Projection

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATION THEORY; CONSTRAINT THEORY; POLYNOMIALS;

EID: 33747859898     PISSN: 00283045     EISSN: 10970037     Source Type: Journal    
DOI: 10.1002/net.20122     Document Type: Conference Paper
Times cited : (36)

References (24)
  • 2
    • 0002395625 scopus 로고
    • A cutting plane approach to the sequential ordering problem (with applications to job scheduling in manufacturing)
    • N. Ascheuer, L. Escudero, M. Grötschel, and M. Stoer, A cutting plane approach to the sequential ordering problem (with applications to job scheduling in manufacturing), SIAM J Optimizat 3 (1993), 25-42.
    • (1993) SIAM J Optimizat , vol.3 , pp. 25-42
    • Ascheuer, N.1    Escudero, L.2    Grötschel, M.3    Stoer, M.4
  • 3
    • 17544398961 scopus 로고    scopus 로고
    • A branch-and-cut algorithm for the asymmetric traveling salesman problem with precedence constraints
    • N. Ascheuer, M. Jünger, and G. Reinelt, A branch-and-cut algorithm for the asymmetric traveling salesman problem with precedence constraints, Computat Optimizat Applica 17 (2000), 61-84.
    • (2000) Computat Optimizat Applica , vol.17 , pp. 61-84
    • Ascheuer, N.1    Jünger, M.2    Reinelt, G.3
  • 4
    • 0001266093 scopus 로고
    • The precedence-constrained asymmetric traveling salesman polytope
    • E. Balas, M. Fischetti, and W.R. Pulleyblank, The precedence-constrained asymmetric traveling salesman polytope, Math Program 68 (1995), 241-265.
    • (1995) Math Program , vol.68 , pp. 241-265
    • Balas, E.1    Fischetti, M.2    Pulleyblank, W.R.3
  • 5
    • 0038572653 scopus 로고
    • Exact and heuristic procedures for the traveling salesman problem with precedence constraints, based on dynamic programming
    • L. Bianco, A. Mingozzi, S. Ricciardelli, and M. Spadoni, Exact and heuristic procedures for the traveling salesman problem with precedence constraints, based on dynamic programming, INFOR 32 (1994), 19-31.
    • (1994) INFOR , vol.32 , pp. 19-31
    • Bianco, L.1    Mingozzi, A.2    Ricciardelli, S.3    Spadoni, M.4
  • 6
    • 0001340651 scopus 로고    scopus 로고
    • 0-1/2 chvatal-gomory cuts
    • A. Caprara and M. Fischetti, 0-1/2 chvatal-gomory cuts, Math Program 74 (1996), 221-235.
    • (1996) Math Program , vol.74 , pp. 221-235
    • Caprara, A.1    Fischetti, M.2
  • 7
    • 0345863164 scopus 로고
    • A new formulation for the travelling salesman problem
    • A. Claus, A new formulation for the travelling salesman problem, SIAM J Algebraic Discrete Methods 5 (1984), 21-25.
    • (1984) SIAM J Algebraic Discrete Methods , vol.5 , pp. 21-25
    • Claus, A.1
  • 8
    • 0002279446 scopus 로고
    • Improvements to the Miller-Tucker-Zemlin subtour elimination constraints
    • M. Desrochers and G. Laporte, Improvements to the Miller-Tucker-Zemlin subtour elimination constraints, Oper Res Lett 10 (1991), 27-36.
    • (1991) Oper Res Lett , vol.10 , pp. 27-36
    • Desrochers, M.1    Laporte, G.2
  • 9
    • 0031271921 scopus 로고    scopus 로고
    • A polyhedral approach to the asymmetric traveling salesman problem
    • M. Fischetti and P. Toth, A polyhedral approach to the asymmetric traveling salesman problem, Manage Sci 43 (1997), 1520-1536.
    • (1997) Manage Sci , vol.43 , pp. 1520-1536
    • Fischetti, M.1    Toth, P.2
  • 10
    • 0032736580 scopus 로고    scopus 로고
    • The assymetric travelling salesman problem and a reformulation of the Miller-Tucker-Zemlin constraints
    • L. Gouveia and J.M, Pires, The assymetric travelling salesman problem and a reformulation of the Miller-Tucker-Zemlin constraints, Eur J Oper Res 112 (1999), 134-146.
    • (1999) Eur J Oper Res , vol.112 , pp. 134-146
    • Gouveia, L.1    Pires, J.M.2
  • 11
    • 0035885276 scopus 로고    scopus 로고
    • The asymmetric travelling salesman problem: On generalizations of disaggregated Miller-Tucker-Zemlin constraints
    • L. Gouveia and J.M, Pires, The asymmetric travelling salesman problem: On generalizations of disaggregated Miller-Tucker-Zemlin constraints, Discrete Appl Math 112 (2001), 129-145.
    • (2001) Discrete Appl Math , vol.112 , pp. 129-145
    • Gouveia, L.1    Pires, J.M.2
  • 12
    • 0021521702 scopus 로고
    • A cutting plane algorithm for the linear ordering problem
    • M. Grötschel, M. Jünger, and G. Reinelt, A cutting plane algorithm for the linear ordering problem, Oper Res 32 (1984), 1195-1220.
    • (1984) Oper Res , vol.32 , pp. 1195-1220
    • Grötschel, M.1    Jünger, M.2    Reinelt, G.3
  • 13
  • 15
    • 0025404955 scopus 로고
    • Classification of travelling salesman problem formulations
    • A. Langevin, F. Soumis, and J. Desrosiers, Classification of travelling salesman problem formulations, Oper Res Lett 9 (1990), 127-132.
    • (1990) Oper Res Lett , vol.9 , pp. 127-132
    • Langevin, A.1    Soumis, F.2    Desrosiers, J.3
  • 17
    • 84945708767 scopus 로고
    • Integer programming formulations and the travelling salesman problems
    • C. Miller, A Tucker, and R. Zemlin, Integer programming formulations and the travelling salesman problems, J ACM 7 (1960), 326-329.
    • (1960) J ACM , vol.7 , pp. 326-329
    • Miller, C.1    Tucker, A.2    Zemlin, R.3
  • 18
    • 0031144368 scopus 로고    scopus 로고
    • Dynamic programming strategies for the traveling salesman problem with time window and precedence constraints
    • A. Mingozzi, L. Bianco, and S. Ricciardelli, Dynamic programming strategies for the traveling salesman problem with time window and precedence constraints, Oper Res 45 (1997), 365-377.
    • (1997) Oper Res , vol.45 , pp. 365-377
    • Mingozzi, A.1    Bianco, L.2    Ricciardelli, S.3
  • 19
    • 33747821993 scopus 로고    scopus 로고
    • Projections of extended formulations with precedence variables for the asymmetric traveling salesman problem
    • Y-S. Myung, Projections of extended formulations with precedence variables for the asymmetric traveling salesman problem, Int J Manage Sci 7 (2001), 1-11.
    • (2001) Int J Manage Sci , vol.7 , pp. 1-11
    • Myung, Y.-S.1
  • 20
    • 4544303106 scopus 로고
    • An analytical comparison of different formulations of the travelling salesman problem
    • M. Padberg and T.-Y. Sung, An analytical comparison of different formulations of the travelling salesman problem, Math Program 52 (1991), 315-357.
    • (1991) Math Program , vol.52 , pp. 315-357
    • Padberg, M.1    Sung, T.-Y.2
  • 22
    • 4544283243 scopus 로고    scopus 로고
    • New tighter polynomial length formulations for the asymmetric traveling salesman problem with and without precedence constraints
    • S.C. Sarin, H.D. Sherali, and A. Bhootra, New tighter polynomial length formulations for the asymmetric traveling salesman problem with and without precedence constraints, Oper Res Lett 33 (2005), 62-70.
    • (2005) Oper Res Lett , vol.33 , pp. 62-70
    • Sarin, S.C.1    Sherali, H.D.2    Bhootra, A.3
  • 23
    • 0003376617 scopus 로고
    • Precedence constrained routing and helicopter scheduling: Heuristic design
    • M.T. Fiala Timlin and W.R. Pulleyblank, Precedence constrained routing and helicopter scheduling: Heuristic design, Interfaces 22 (1992), 100-111.
    • (1992) Interfaces , vol.22 , pp. 100-111
    • Timlin, M.T.F.1    Pulleyblank, W.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.