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https://doi.org/10.17535/crorr.2017.0032

A linear fractional bilevel programming problem with multichoice parameters

Ritu Arora ; Department of Mathematics, Keshav Mahavidyalaya, University of Delhi, Delhi, India
Kavita Gupta ; Department of Mathematics, Kirori Mal College, University of Delhi, Delhi, India


Puni tekst: engleski pdf 647 Kb

str. 499-513

preuzimanja: 621

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Sažetak

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.

Ključne riječi

bilevel programming; linear fractional programming problem; fuzzy programming; compromise solution; multi-choice parameters

Hrčak ID:

193639

URI

https://hrcak.srce.hr/193639

Datum izdavanja:

30.12.2017.

Posjeta: 1.183 *