Science & Engineering |
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EXACT ALGORITHM FOR BIN COVERING |
CHEN Feng, YAO En-yu |
Department of Applied Mathematics, Zhejiang University, Hangzhou 310027, China |
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Abstract This paper presents a new arc flow model for the one-dimensional bin covering problem and an algorithm to solve the problem exactly through a branch-and-bound procedure and the technique of column generation. The subproblems occuring in the procedure of branch-and-bound have the same structure and therefore can be solved by the same algorithm. In order to solve effectively the subproblems which are generally large scale, a column generation algorithm is employed. Many rules found in this paper can improve the performance of the methods.
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Received: 24 October 2000
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