The Problem of Planning Neutrosophic Hydropower Systems (Converting Some Nonlinear Neutrosophic Models into Linear Neutrosophic Models)

Abstract

The core of operations research activity focuses on creating and using models. These 
models may be linear models, non-linear models, dynamic models, and others. Linear 
models are considered one of the most important and most widely used operations research 
models due to the availability of appropriate algorithms through which we can obtain the 
optimal solution, which prompts us to benefit from the nature of the topic under study and 
the information available to us about the variables in it to transform it into linear models. In 
classical logic, many nonlinear programming problems have been processed and 
transformed into linear programming problems. In this research, we present a study of the 
issue of planning hydroelectric systems, where the general policy for operating this system 
specifies two prices for selling the produced electricity, which makes this issue a non-linear 
programming issue. We will turn it into a linear programming problem using linear 
programming concepts, and then we will use Boolean concepts. Neutrosophic studies of 
linear programming and non-linear programming are presented to provide a neutrosophic 
formulation of the issue of planning hydroelectric systems, through which we obtain a 
neutrosophic linear model whose optimal solution fits all the conditions that the system’s 
operating environment may experience during the operating period. During the two 
operating periods. 

DOI: 10.5281/zenodo.10937539