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Volumn 112, Issue 1, 1999, Pages 134-146

The asymmetric travelling salesman problem and a reformulation of the Miller-Tucker-Zemlin constraints

Author keywords

Asymmetric travelling salesman problem; Dk and Dk inequalities; Miller Tucker Zemlin constraints; Projection; Reformulation

Indexed keywords

CONSTRAINT THEORY; LINEAR PROGRAMMING; MATHEMATICAL MODELS; RELAXATION PROCESSES;

EID: 0032736580     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(97)00358-5     Document Type: Article
Times cited : (59)

References (16)
  • 3
    • 0002279446 scopus 로고
    • Improvements to the Miller-Tucker-Zemlin subtour elimination constraints
    • Desrochers, M., Laporte, G., 1991. Improvements to the Miller-Tucker-Zemlin subtour elimination constraints. Operation Research Letters 10, 27-36.
    • (1991) Operation Research Letters , vol.10 , pp. 27-36
    • Desrochers, M.1    Laporte, G.2
  • 4
    • 0002406256 scopus 로고
    • Facets of the asymmetric traveling salesman problem
    • Fischetti, M., 1991. Facets of the asymmetric traveling salesman problem. Mathematics of Operations Research 16, 42-56.
    • (1991) Mathematics of Operations Research , vol.16 , pp. 42-56
    • Fischetti, M.1
  • 8
    • 58149318797 scopus 로고
    • A result on projection for the vehicle routing problem
    • Gouveia, L., 1995a. A result on projection for the vehicle routing problem. European Journal of Operational Research 85, 610-624.
    • (1995) European Journal of Operational Research , vol.85 , pp. 610-624
    • Gouveia, L.1
  • 9
    • 0029411882 scopus 로고
    • Using the Miller-Tucker-Zemlin constraints to formulate minimal spanning trees with hop constraints
    • Gouveia, L., 1995b. Using the Miller-Tucker-Zemlin constraints to formulate minimal spanning trees with hop constraints. Computers and Operations Research 22, 959-970.
    • (1995) Computers and Operations Research , vol.22 , pp. 959-970
    • Gouveia, L.1
  • 13
    • 84945708767 scopus 로고
    • Integer programming formulations and travelling salesman problems
    • Miller, C., Tucker, A., Zemlin, R., 1960. Integer programming formulations and travelling salesman problems. Journal of ACM 7, 326-329.
    • (1960) Journal of ACM , vol.7 , pp. 326-329
    • Miller, C.1    Tucker, A.2    Zemlin, R.3
  • 14
    • 4544303106 scopus 로고
    • An analytical comparison of different formulations of the travelling salesman problem
    • Padberg, M., Sung, T., 1991. An analytical comparison of different formulations of the travelling salesman problem. Mathematical Programming 52, 315-357.
    • (1991) Mathematical Programming , vol.52 , pp. 315-357
    • Padberg, M.1    Sung, T.2
  • 15
    • 0001019929 scopus 로고
    • Polyhedral combinatorics
    • North-Holland, Amsterdam
    • Pulleyblank, W., 1989. Polyhedral combinatorics. In: Handbooks in OR and MS, vol. 1. North-Holland, Amsterdam.
    • (1989) Handbooks in OR and MS , vol.1
    • Pulleyblank, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.