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- W113367307 abstract "The standard NP-hard knapsack problem can be interpreted as a scheduling problem with n jobs with weights w1 . . .wn and processing times p1 . . . pn, where our goal is to order the jobs on a single machine so as to maximize the weight of all jobs completing prior to a known common deadline d. In this paper, we study the uncertain capacity knapsack problem (UCKP), a generalization of this problem in which the deadline d is not known with certainty, but rather is provided as a probability distribution, and our goal is to order the jobs so as to maximize the expected weight of the set of jobs completing by the deadline. We develop a polynomial-time approximation scheme (PTAS) for this problem. We make no assumptions about probability distributions except that each job, scheduled by itself, completes by the deadline with some constant probability." @default.
- W113367307 created "2016-06-24" @default.
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- W113367307 date "2010-01-01" @default.
- W113367307 modified "2023-09-27" @default.
- W113367307 title "A PTAS for the Uncertain Capacity Knapsack Problem" @default.
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