Combinatorial optimization: algorithms and complexity
Combinatorial optimization: algorithms and complexity
Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems
Journal of the ACM (JACM)
Approximation of the supply scheduling problem
Operations Research Letters
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The problem of searching for a cost-minimum plan of supplies of uniform products to one consumer is considered. The set of admissible intervals of the supply volume and concave cost functions of supplies within each interval are preassigned for each supplier. The totally polynomial 驴-approximate algorithm for the given problem and the pseudopolynomial exact algorithm for its partial case are suggested.