Fuzzy Goal Programming Model for Optimal Electricity Allocation
Peter Ayuba *
Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, an optimal electricity allocation model (OEAM) was developed for efficient energy consumption. This was done by constructing a weighted maxi sum fuzzy goal programming model where the membership functions (of the objectives) are considered as fuzzy goals and weights are introduced to the over deviational variables. In the achievement function, the weighted deviational variables are minimized. The model optimizes the amount of energy to be delivered to various business units of the XYZ electricity distribution company based on the objective functions and constraints. The results further strengthen our belief that fuzzy goal programming (FGP) models have considerable promise in terms of control, flexibility and real world applicability.
Keywords: Fuzzy sets, fuzzy goal programming, weighted maxi sum