Solving linear fractional multilevel programs

Journal Title: Operations Research and Decisions - Year 2014, Vol 24, Issue 1

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.

Authors and Affiliations

Shifali Bhargava

Keywords

Related Articles

Choosing what to protect when attacker resources and asset valuations are uncertain

The situation has been modelled where the attacker’s resources are unknown to the defender. Protecting assets presupposes that the defender has some information on the attacker’s resource capabilities. An attacker target...

Solving some deterministic finite horizon inventory models

Two single-item, deterministic, continuous, finite horizon inventory models having no shortage have been considered. A demand rate function, which is relatively general, for the item has been assumed. In the first model,...

Choquet integral calculus on a continuous support and its applications

The results of the calculation of the Choquet integral of a monotone function on the nonnegative real line have been described. Next, the authors prepresented Choquet integral of nonmonotone functions, by constructing mo...

Spectral analysis of business cycles in Poland and its major trading partners

The properties of business cycles in Poland and its major trading partners have been examined. The business cycle synchronization (BCS) between Poland and other countries was studied in order to assess the impact of inte...

Determining an estimate of an equivalence relation for moderate and large sized sets

This paper presents two approaches to determining estimates of an equivalence relation on the basis of pairwise comparisons with random errors. Obtaining such an estimate requires the solution of a discrete programming p...

Download PDF file
  • EP ID EP166770
  • DOI -
  • Views 39
  • Downloads 0

How To Cite

Shifali Bhargava (2014). Solving linear fractional multilevel programs. Operations Research and Decisions, 24(1), -. https://europub.co.uk/articles/-A-166770