Constructing the minimization diagram of a two-parameter problem

Constructing the minimization diagram of a two-parameter problem

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Article ID: iaor19912115
Country: Netherlands
Volume: 10
Issue: 2
Start Page Number: 87
End Page Number: 93
Publication Date: Mar 1991
Journal: Operations Research Letters
Authors: ,
Abstract:

Let P(λ,μ)=min{f1(x)+λf2(x)+μf3(x)•x∈D∈. The authors present a method that constructs P(λ,μ) for all λ,μ in a given interval in O(fëT(n)+f2) time, where f denotes the number of faces of P(λ,μ) in the interval and T(n) denotes the time needed to solve the associated nonparametric problem.

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