A linear fractional bilevel programming problem with multichoice parameters

  • Ritu Arora University of Delhi INDIA
  • Kavita Gupta 2Department of Mathematics, Kirori Mal College, University of Delhi, Delhi, India

Abstract

A bilevel programming problem (BLPP) is a hierarchical optimization problem
where the constraint region of the upper level is implicitly determined by the lower level optimization problem. In this paper, a bilevel programming problem is considered in which the objective functions are linear fractional and the feasible region is a convex polyhedron. Linear fractional objectives in BLPP are useful in production planning, financial planning, corporate planning and so forth. Here, the cost coefficient of the objective functions are multi-choice parameters. The multi-choice parameters are replaced using interpolating polynomials. Then, fuzzy programming is used to find a compromise solution of the transformed
BLPP. An algorithm is developed to find a compromise solution of BLPP. The
method is illustrated with the help of an example. 

Author Biography

Ritu Arora, University of Delhi INDIA

Assistant Professor

Department of Mathematics

Keshav Mahavidyalaya

University of Delhi

INDIA

Published
2017-12-06
Section
CRORR Journal Regular Issue