Box-constrained optimization methodology and its application for a water supply system model

Research output: Contribution to journalArticlepeer-review

Abstract

This study introduces a new search method for box-constrained optimization problems called the search method for box optimization (SMBO). SMBO is a population heuristic-based search methodology that solves global optimization problems. SMBO represents the population as a probability density function (PDF) inside the problem bounds. The PDF shape is dynamically adapted during the process to guide to a "good" search domain. The applicability and the efficiency of the method are demonstrated using two benchmark sets, which include unimodal, multimodal, expanded, and hybrid composition functions. The performance of SMBO is compared with several genetic algorithms (GAs); the first benchmark compares it with nine codes of traditional/classic GAs, and the second compares SMBO with two recent variants of genetic algorithms. The results show that SMBO performs as well as or better than the GAs in both comparisons. The method is demonstrated on a nonlinear model for management of a water supply system (WSS), and the results are compared with the commercial GA toolbox of matrix laboratory (MATLAB).

Original languageAmerican English
Pages (from-to)651-659
Number of pages9
JournalJournal of Water Resources Planning and Management - ASCE
Volume138
Issue number6
DOIs
StatePublished - Nov 2012

Keywords

  • Evolutionary algorithms
  • Genetic algorithms
  • Global optimization
  • Search methods
  • Water supply systems.

All Science Journal Classification (ASJC) codes

  • Water Science and Technology
  • Geography, Planning and Development
  • Management, Monitoring, Policy and Law
  • Civil and Structural Engineering

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