A Comprehensive Bibliometric Analysis of Fractional Programming (1965–2020)

Author:

Toloo MehdiORCID,Khodabandelou RouhollahORCID,Oukil AmarORCID

Abstract

Fractional programming (FP) refers to a family of optimization problems whose objective function is a ratio of two functions. FP has been studied extensively in economics, management science, information theory, optic and graph theory, communication, and computer science, etc. This paper presents a bibliometric review of the FP-related publications over the past five decades in order to track research outputs and scholarly trends in the field. The reviews are conducted through the Science Citation Index Expanded (SCI-EXPANDED) database of the Web of Science Core Collection (Clarivate Analytics). Based on the bibliometric analysis of 1811 documents, various theme-related research indicators were described, such as the most prominent authors, the most commonly cited papers, journals, institutions, and countries. Three research directions emerged, including Electrical and Electronic Engineering, Telecommunications, and Applied Mathematics.

Funder

Czech Science Foundation

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference83 articles.

1. Uber ein okonomsiches gleichungssystem und eine verallgemeinering des browerschen fixpunktsatzes;Von Neumann;Erge. Math. Kolloq.,1937

2. Fractional Programming;Frenk,2008

3. Programming with linear fractional functionals

4. Analyse und Anwendungen von Quotientenprogrammen: Ein Beitrag zur Planung mit Hilfe der nichtlinearen Programmierung;Schlette,1978

5. Fractional Programming;Craven,1988

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