• Dr. Anuradha Sharma

This paper deals with theory and methodology on a special class of Trilevel Programming Problems with non-linear objectives. A quadratic (indefinite) programming problem is a mathematical programming problem which is a product of two linear factors. In this article, the piece–wise indefinite quadratic programming problem (PIQP) is considered. Here, the objective function is a product of two continuous piecewise linear functions defined on a non-empty and compact feasible region. Here, the optimality criterion is explained and established to solve PIQP. While optimizing PIQP, we come across certain variables which will not satisfy the optimality condition. For these variable, cases have been discussed so as to move from one basic feasible solution to another basic feasible solution till we reach the optimality. A numerical example is discussed to decipher the methodology.

indefinite programs; quadratic programming problem; optimal solution, piecewise linear function; continuity. quasi–concave function

"A Methodology on a class of Trilevel Programming Problems ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.2, Issue 1, page no.771-773, January-2015, Available :http://www.jetir.org/papers/JETIR1701521.pdf

"A Methodology on a class of Trilevel Programming Problems ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.2, Issue 1, page no. pp771-773, January-2015, Available at : http://www.jetir.org/papers/JETIR1701521.pdf