Minimax flow tree problems

Hui Chen; Ann Campbell; Barrett Thomas; Arie Tamir

doi:10.1002/net.20313

Minimax flow tree problems

Hui Chen
, Ann Campbell
, Barrett Thomas^*
, Arie Tamir

^*Corresponding author for this work

School of Mathematical Sciences

University of Iowa

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We examine a class of problems that seeks to find treestructured networks that minimize the maximum cost among a subset of nodes in a graph. The cost metric is characterized by a series of parameters that can represent distance, flow volume, and delivery deadlines. Derived through variations in problem parameters, we present 17 different problems and discuss their worst- case complexities. Fourteen of the problems are new to the literature. We show that some of the problems are N' P-Complete and others are polynomially solvable.

Original language	English
Pages (from-to)	117-129
Number of pages	13
Journal	Networks
Volume	54
Issue number	3
DOIs	https://doi.org/10.1002/net.20313
State	Published - Oct 2009

Keywords

Complexity
Flow
Minimax
Shortestpath trees
Trees

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10.1002/net.20313

Cite this

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KW - Flow

KW - Minimax

KW - Shortestpath trees

KW - Trees

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Minimax flow tree problems

Abstract

Keywords

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