Fuzzy Multi-Objective Decision Making Approach for Nuclear Power Plant Installation

Abstract

Due to their increases in energy demand, many countries suffer from energy poverty because of insufficient and expensive energy supply. Plans to use alternative power like nuclear power for electricity generation are being revived among developing countries. Decisions for installation of power plants need to be based on careful assessment of future energy supply and demand, economic and financial implications and requirements for technology transfer. Since the problem involves many vague parameters, a fuzzy model should be an appropriate approach for dealing with this problem. This study develops a Fuzzy Multi-Objective Linear Programming (FMOLP) model for solving the nuclear power plant installation problem in fuzzy environment. FMOLP approach is recommended for cases where the objective functions are imprecise and can only be stated within certain aspiration level. The proposed model attempts to minimize total duration time, total cost and maximize total crash time of the installation project. By using FMOLP, weighted additive technique can also be applied in order to transform the model into Fuzzy Multiple Weighted-Objective Linear Programming (FMWOLP) to control the objective values such that all decision makers target on each criterion can be met. The optimum solution with the achievement level for both of the models (FMOLP and FMWOLP) are compared with each other. FMWOLP results in better performance since the degree of the overall satisfaction does not simply impersonate the membership degree of the worst objective. A numerical example demonstrates the feasibility of applying the proposed models to nuclear power plant installation problem.

Nomenclature

 

(i, j):

sequence of nodes, j will be processed after i is processed

$K_{D_{ij}}$ :

direct cost of activity (i, j) under normal time

$Y_{ij}$ :

crash time for activity (i, j)

$s_{i,j}$ :

crashing cost per unit time for activity (i, j)

l :

penalty cost per unit time

$E_{i}$ :

start time for node i

$T_{ij}$ :

duration time for activity (i, j)

$D_{ij}$ :

normal duration time for activity (i, j)

$d_{ij}$ :

shortest duration time for activity (i, j)

F :

required completion time for the project

$\lambda _{k}$ :

membership degree of the objective k