Complexity of non-preemptive single machine scheduling problems in the presence of uncertainty
نویسندگان
چکیده
This paper deals with single machine scheduling problems where some job characteristics are uncertain. This uncertainty is described through a finite set S of well-defined scenarios. We denote by pj , d s j and w s j , respectively, the processing time, the due date and the weight of job j under scenario s ∈ S. Consider a scheduling problem, denoted by α|β|γ according to Graham et al. notation [4]. Let Π be the set of feasible schedules with respect to the problem constraints. For each scenario s ∈ S, we denote by OPT (α|β|γ, s) the problem of finding an optimal schedule π s minimizing a cost function F (π, s): π ∗ s satisfies :
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تاریخ انتشار 2005