An FPTAS for minimizing the product of two non-negative linear cost functions

DOI10.1007/s10107-009-0287-4zbMath1206.90112OpenAlexW2161103838MaRDI QIDQ623370

Latife Genc-Kaya, R. Ravi, Vineet Goyal

Publication date: 14 February 2011

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-009-0287-4

zbMATH Keywords

quadratic programmingcombinatorial optimizationapproximation schemes

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Quadratic programming (90C20) Combinatorial optimization (90C27)

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Cites Work

• Unnamed Item
• Unnamed Item
• Approximation algorithms for indefinite quadratic programming
• Quadratic programming and combinatorial minimum weight product problems
• Quadratic programming with one negative eigenvalue is NP-hard
• \(NP\)-hardness of linear multiplicative programming and related problems
• Approximation Schemes for the Restricted Shortest Path Problem

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