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

Autor: Maryam Esmaeili, Habibe Sadeghi
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Mathematics, Vol 6, Iss 10, p 179 (2018)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math6100179
Popis: 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.
Databáze: Directory of Open Access Journals