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Testing integer knapsacks for feasibility
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DOI：10.1016/0377-2217(94)00214-2.png)
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Abstract
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We present a new approach for determining whether there exist nonnegative integers x(1), x(2),...x(n) satisfying a(1)x(1) + a(2)x(2) +...+ a(n)x(n) = b where a(1) < a(2) <...< a(n) and b are nonnegative integers. The worst case time complexity is analyzed and compared with dynamic programming techniques. Computational results are given.
Keywords:
knapsack problems
group problem
feasibility testing
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