Multidimensional frontier visualization based on optimization methods using parallel computations

Alexander P. Afanasiev, Vladimir E. Krivonozhko (), Andrey V. Lychev and Oleg V. Sukhoroslov
Additional contact information
Alexander P. Afanasiev: Russian Academy of Sciences
Vladimir E. Krivonozhko: National University of Science and Technology MISiS
Andrey V. Lychev: National University of Science and Technology MISiS
Oleg V. Sukhoroslov: Russian Academy of Sciences

Journal of Global Optimization, 2020, vol. 76, issue 3, No 9, 563-574

Abstract: Abstract In data envelopment analysis, methods for constructing sections of the frontier have been recently proposed to visualize the production possibility set. The aim of this paper is to develop, prove and test the methods for the visualization of production possibility sets using parallel computations. In this paper, a general scheme of the algorithms for constructing sections (visualization) of production possibility set is proposed. In fact, the algorithm breaks the original large-scale problems into parallel threads, working independently, then the piecewise solution is combined into a global solution. An algorithm for constructing a generalized production function is described in detail.

Keywords: Data envelopment analysis (DEA); Parallel algorithms; Efficient frontier; Frontier visualization; 90C08; 90B30; 68W10; 91B74; 90C29 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10898-019-00812-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jglopt:v:76:y:2020:i:3:d:10.1007_s10898-019-00812-y

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-019-00812-y

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

More articles in Journal of Global Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().