The linear multiple choice knapsack problem
β Scribed by Sanjiv Sarin; Mark H. Karwan
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 372 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0167-6377
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## Abstract An upper bound or a lower bound of the MultipleβChoice Knapsack Problem can be calculated by solving LP relaxation. In 1979, Sinha and Zoltners proposed a branchβandβbound algorithm for solving the MultipleβChoice Knapsack Problem, and provided a method to obtain the strict upper bound.
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