Solving linear fractional multi-level programs

Shifali Bhargava ()

Operations Research and Decisions, 2014, vol. 24, issue 1, 5-21

Abstract: The linear fractional multilevel programming (LFMP) problem has been studied and it has been proved that an optimal solution to this problem occurs at a boundary feasible extreme point. Hence the Kth-best algorithm can be proposed to solve the problem. This property can be applied to quasiconcave multilevel problems provided that the first (n – 1) level objective functions are explicitly quasimonotonic, otherwise it cannot be proved that there exists a boundary feasible extreme point that solves the LFMP problem.

Keywords: combinatorial problems; stable matching; Gale–Shapley model (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:wut:journl:v:1:y:2014:p:5-21:id:1066

DOI: 10.5277/ord140101

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