Extension of Optimization Problems under Supply and Demand Balance by Introducing Weighting Factors and Its Fast Solution Based on Formula Manipulation

Abstract

Optimization problems under supply and demand balance are important in energy management such as electric and heat management. The authors have proposed a fast solution method for the optimization problems based on optimality conditions and formula manipulation algorithm. In this paper, we extend the original optimization problem by introducing weighting factors and offset term for supply-amounts. By this extension, we can deal with wider range problems such as optimal fuel distribution problems for steam boilers. We also present an extended fast solution method for the extended problem.