Improved Fully Polynomial time Approximation Scheme for the 0-1 Multiple-choice Knapsack Problem

نویسنده

  • Mukul Subodh Bansal
چکیده

In this paper the 0-1 Multiple-Choice Knapsack Problem (0-1 MCKP), a generalization of the classical 0-1 Knapsack problem, is addressed. We present a fast Fully Polynomial Time Approximation Scheme (FPTAS) for the 0-1 MCKP, which yields a better time bound than known algorithms. In particular it produces a (1+ ) approximate solution and runs in O(nm/ ) time, where n is the number of items and m is the number of multiple-choice classes.

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تاریخ انتشار 2004