The paper deals with a single machine scheduling problem involving a general precedence structure that permits both ordinary and fuzzy precedence constraints. Feasible schedules are evaluated not only by their cost but also by the degree of satisfaction with their precedence structure. An O(m log n + max(n(2), kn(2)))-time algorithm is proposed for finding nondominated solutions of the resulting bi-criteria. scheduling problem where n is the number of jobs, k is the number of fuzzy constraints, and m is the total number of precedence constraints.
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Univ Liverpool, Dept Comp Sci, Liverpool L69 3BX, Merseyside, EnglandUniv Liverpool, Dept Comp Sci, Liverpool L69 3BX, Merseyside, England
Ambuehl, Christoph
Mastrolilli, Monaldo
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Inst Dalle Molle Studi Intelligenza Artificiale, CH-6928 Manno Lugano, SwitzerlandUniv Liverpool, Dept Comp Sci, Liverpool L69 3BX, Merseyside, England
Mastrolilli, Monaldo
Mutsanas, Nikolaus
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Univ Libre Bruxelles, Dept Math, B-1150 Ixelles Bruxelles, BelgiumUniv Liverpool, Dept Comp Sci, Liverpool L69 3BX, Merseyside, England