Optimization of the sizing of a solar thermal electricity plant: mathematical programming versus genetic algorithms

  • Authors:
  • José M. Cabello;José M. Cejudo;Mariano Luque;Francisco Ruiz;Kalyanmoy Deb;Rahul Tewari

  • Affiliations:
  • University of Málaga, Málaga, Spain;University of Málaga, Málaga, Spain;University of Málaga, Málaga, Spain;University of Málaga, Málaga, Spain;Department of Mechanical Engineering, Indian Institute of Technology Kanpur, India and Department of Business Technology, Helsinki School of Economics, Helsinki, Finland;Department of Mechanical Engineering, Indian Institute of Technology Kanpur, India

  • Venue:
  • CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
  • Year:
  • 2009

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Abstract

Genetic algorithms (GAs) have been argued to constitute a flexible search thereby enabling to solve difficult problems which classical optimization methodologies may find hard to solve. This paper is intended towards this direction and show a systematic application of a GA and its modification to solve a real-world optimization problem of sizing a solar thermal electricity plant. Despite the existence of only three variables, this problem exhibits a number of other common difficulties -- black-box nature of solution evaluation, massive multi-modality, wide and non-uniform range of variable values, and terribly rugged function landscape - which prohibits a classical optimization method to find even a single acceptable solution. Both GA implementations perform well and a local analysis is performed to demonstrate the optimality of obtained solutions. This study considers both classical and genetic optimization on a fairly complex yet typical real-world optimization problems and demonstrates the usefulness and future of GAs in applied optimization activities in practice.