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The linking set problem: a polynomial special case of the multiple-choice knapsack problem

✍ Scribed by A. Agra; C. Requejo


Publisher
Springer US
Year
2009
Tongue
English
Weight
177 KB
Volume
161
Category
Article
ISSN
1573-8795

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Calculating the upper bound of the Multi
✍ Yuji Nakagawa; Masachika Kitao; Mitsuhiro Tsuji; Yoshinobu Teraoka πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 179 KB

## Abstract An upper bound or a lower bound of the Multiple‐Choice Knapsack Problem can be calculated by solving LP relaxation. In 1979, Sinha and Zoltners proposed a branch‐and‐bound algorithm for solving the Multiple‐Choice Knapsack Problem, and provided a method to obtain the strict upper bound.

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The multidimensional multiple-choice knapsack problem (MMKP) is an extension of the 0-1 knapsack problem. The core concept has been used to design efficient algorithms for the knapsack problem but the core has not been developed for the MMKP so far. In this paper, we develop an approximate core for