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Volumn 11, Issue 1, 2002, Pages 45-54

Detecting local convexity on the pareto surface

Author keywords

Convexity; Multi criteria optimization; Pareto set; Tchebycheff method; Weighting method

Indexed keywords


EID: 20344380259     PISSN: 10579214     EISSN: 10991360     Source Type: Journal    
DOI: 10.1002/mcda.315     Document Type: Article
Times cited : (5)

References (11)
  • 2
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    • Existence of efficient solutions for vector maximization problems
    • Benson, HP., 1978. Existence of efficient solutions for vector maximization problems. Journal of Optimization Theory and Applications 26: 569-580.
    • (1978) Journal of Optimization Theory and Applications , vol.26 , pp. 569-580
    • Benson, H.P.1
  • 3
    • 0033208104 scopus 로고    scopus 로고
    • On characterizing the ‘knee’ of the Pareto curve based on normal-boundary intersection
    • Das, I., 1999. On characterizing the ‘knee’ of the Pareto curve based on normal-boundary intersection. Structural Optimization 18 (2/3): 107-115.
    • (1999) Structural Optimization , vol.18 , Issue.2-3 , pp. 107-115
    • Das, I.1
  • 5
    • 0036589107 scopus 로고    scopus 로고
    • Approximating the Pareto curve to help solve bi-objective design problems
    • Fadel, G., Li, Y., 2002. Approximating the Pareto curve to help solve bi-objective design problems. Structural Optimization Journal 23(6): 280-296.
    • (2002) Structural Optimization Journal , vol.23 , Issue.6 , pp. 280-296
    • Fadel, G.1    Li, Y.2
  • 7
    • 85040402149 scopus 로고    scopus 로고
    • Minimum effort approximation of the Pareto space of convex bi-criteria problems
    • Li, Y., Fadel, GM., Wiecek, MM., Blouin, V., 2002. Minimum effort approximation of the Pareto space of convex bi-criteria problems. Optimization and Engineering, submitted
    • (2002) Optimization and Engineering
    • Li, Y.1    Fadel, G.M.2    Wiecek, M.M.3    Blouin, V.4
  • 8
    • 0033747329 scopus 로고    scopus 로고
    • The ability of objective functions to generate non-convex Pareto frontiers
    • Messac, A., Sundararaj, GJ., Tappeta, RV., Renaud, JE., 2000. The ability of objective functions to generate non-convex Pareto frontiers. AIAA Journal 38(6): 1084-1091.
    • (2000) AIAA Journal , vol.38 , Issue.6 , pp. 1084-1091
    • Messac, A.1    Sundararaj, G.J.2    Tappeta, R.V.3    Renaud, J.E.4
  • 11
    • 0011472969 scopus 로고    scopus 로고
    • Augmented Lagrangian and Tchebycheff approaches in multiple objective programming
    • Tind, J., Wiecek, MM., 1999. Augmented Lagrangian and Tchebycheff approaches in multiple objective programming. Journal of Global Optimization 14: 251-266.
    • (1999) Journal of Global Optimization , vol.14 , pp. 251-266
    • Tind, J.1    Wiecek, M.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.