An algorithm for finding the shortest element of a polyhedral set with application to lagrangian duality

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An Efficient Algorithm for Reducing the Duality Gap in a Special Class of the Knapsack Problem

A special class of the knapsack problem is called the separable nonlinear knapsack problem. This problem has received considerable attention recently because of its numerous applications. Dynamic programming is one of the basic approaches for solving this problem. Unfortunately, the size of state-pace will dramatically increase and cause the dimensionality problem. In this paper, an efficient a...

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 1978

ISSN: 0022-247X

DOI: 10.1016/0022-247x(78)90180-4