The Generalised Nash Equilibrium Problem (GNEP) is a Nash game with the distinct feature that the feasible strategy set of a player depends on the strategies chosen by all her opponents in the game. This characteristic distinguishes the GNEP from a conventional Nash Game. These shared constraints on each player’s decision space, being dependent on decisions of others in the game, increases its ...

In this paper, bi-level linear programming problem with multiple objectives at each level in intuitionistic fuzzy environment is studied and solved. In this problem, technological coefficients and resources are characterized by intuitionistic fuzzy numbers having linear membership and non-membership function. Intuitionistic fuzzy efficient solution is computed for the upper level by the propose...

This paper deals with fuzzy goal programming approach to bilevel multi-objective programming problem with fuzzy parameters. In the proposed approach, the tolerance membership functions for the fuzzily described objective functions are defined by determining individual optimal solution of the objective functions of each of the decision makers. Since the objectives are potentially conflicting in ...

This study introduces the opportunity cost of distribution network. The centralized and distributed supply chain distribution network of bi-level programming model were constructed by defining the distribution centers face different stock losses, which include one manufacturer, more distribution centers and multiple retailers. Combined with the traditional genetic algorithm, this study designed...

This paper presents a parametric bi-level quadratic programming problem with random rough coefficient in objective functions. An approach combines the convert technique of rough coefficient and Stackelberg strategy. An auxiliary problem is discussed and an algorithm as well as an example is presented.

Greenhouse gas (GHG) emissions from municipal solid waste (MSW) management significantly contribute to high global warming potential (GWP). However, most studies have failed to facilitate identifying MSW management schemes capable of comprehensively meeting the goals from decision-makers at different hierarchical levels under uncertainties. This study develops an inexact bi-level linear program...