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- W4320560954 abstract "We study continuous, equality knapsack problems with uniform separable, non-convex objective functions that are continuous, strictly increasing, antisymmetric about a point, and have concave and convex regions. For example, this model captures a simple allocation problem with the goal of optimizing an expected value where the objective is a sum of cumulative distribution functions of identically distributed normal distributions (i.e., a sum of inverse probit functions). We prove structural results of this model under general assumptions and provide two algorithms for efficient optimization: (1) running in linear time and (2) running in a constant number of operations given preprocessing of the objective function." @default.
- W4320560954 created "2023-02-15" @default.
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- W4320560954 date "2022-11-03" @default.
- W4320560954 modified "2023-09-28" @default.
- W4320560954 title "Continuous Equality Knapsack with Probit-Style Objectives" @default.
- W4320560954 doi "https://doi.org/10.48550/arxiv.2211.02237" @default.
- W4320560954 hasPublicationYear "2022" @default.
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