Free Search in Multidimensional Space III

Research output: Chapter in Book/Report/Published conference proceedingChapter

Abstract

Various scientific and technological fields, such as design, engineering, physics, chemistry, economics, business, and finance often face multidimensional optimisation problems. Although substantial research efforts have been directed in this area, key questions are still waiting for answers, such as: What limits computer aided design systems on optimisation tasks with high variables number? How to improve capabilities of modern search methods applied to multidimensional problems? What are software and hardware constraints? Approaching multidimensional optimisation problems raises in addition new research questions, which cannot be seen or identified on low dimensional tasks, such as: What time is required to re-solve multidimensional task with acceptable level of precision? How dimensionality reflects on the search space complexity? How to establish search process orientation, within multidimensional space? How task specific landscapes embarrass orientation? This article presents an investigation on 300 dimensional heterogeneous real-value numerical tests. The study aims to evaluate relation between tasks’ dimensions’ number and required for achieving acceptable solution with non-zero probability number of objective function evaluations. Experimental results are presented, analysed and com-pared to other publications.
Original languageEnglish
Title of host publication Lecture Notes in Computer Science
EditorsIvan Lirkov, Svetozar Margenov, Jerzy Waśniewski
Place of PublicationUS
PublisherSpringer Nature
Pages251-257
Volume9374
Edition1
ISBN (Electronic)978-3-319-26520-9
ISBN (Print)978-3-319-26519-3
DOIs
Publication statusPublished - 29 Nov 2015

Publication series

NameLecture Notes in Computer Science
PublisherSpringer Cham
Number1
Volume9374
ISSN (Print)0302-9743

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  • Cite this

    Penev, K. (2015). Free Search in Multidimensional Space III. In I. Lirkov, S. Margenov, & J. Waśniewski (Eds.), Lecture Notes in Computer Science (1 ed., Vol. 9374, pp. 251-257). (Lecture Notes in Computer Science; Vol. 9374, No. 1). Springer Nature. https://doi.org/10.1007/978-3-319-26520-9_27