An Investigation of the Optimistic Solution to the Linear Trilevel Programming Problem

Maryam Esmaeili and Habibe Sadeghi
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Maryam Esmaeili: Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz 61357-83151, Iran
Habibe Sadeghi: Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz 61357-83151, Iran

Mathematics, 2018, vol. 6, issue 10, 1-11

Abstract: In this paper, we consider a general version of a linear trilevel programming problem. Three different types of optimistic optimal solutions for a special trilevel programming problem have formerly been suggested. This paper presents the mathematical formulation of all of the three types of optimistic optimal solutions for the given linear trilevel programming problem. Moreover, some properties of the inducible region (the feasible region for the trilevel programming problem) corresponding to each optimistic optimal solution are investigated. Finally, a numerical example is presented to compare the different types of optimistic optimal solutions.

Keywords: linear trilevel programming; optimistic optimal solution; multi-level programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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