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- W2034951924 abstract "We consider a nonlinear minimax allocation problem with multiple knapsack-type resource constraints. Each term in the objective function is a nonlinear, strictly decreasing and continuous function of a single variable. All variables are continuous and nonnegative. A previous algorithm for such problems repeatedly solves relaxed problems without the nonnegativity constraints. That algorithm is particularly efficient for certain nonlinear functions for which there are closed-form solutions for the relaxed problems; for other functions, however, the algorithm must employ search methods. We present a new algorithm that uses at each iteration simple-to-compute algebraic expressions to check optimality conditions, instead of solving the relaxed minimax problems. The new algorithm is therefore significantly more efficient for more general nonlinear functions." @default.
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- W2034951924 date "1991-06-01" @default.
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- W2034951924 title "A nonlinear minimax allocation problem with multiple knapsack constraints" @default.
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- W2034951924 doi "https://doi.org/10.1016/0167-6377(91)90057-v" @default.
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