Economic-Mathematical Model of the Hirsch Index Calculation
Abstract
We are offering a simple method of adjustment of Hirsch Index using “Demand-Supply Low” of the Excel platform where quantity of published articles is a “supply” and quantity of cited arti- cles is a “demand”. The optimization model will assist authors to see adjusted h-index score which is based on the set of the scientist's most cited papers and the number of citations that they have received in other publications. The h-index is an author-level metric that attempts to measure both the productivity and citation impact of the publications of a scientist or a scholar. The index is based on the set of the scientist's most cited papers and the number of citations that they have received in other publications. The index can also be applied to the productivity and impact of a scholarly [1] as well as a group of scientists, such as a department or university or country [2]. The index was suggested in 2005 by Jorge E. Hirsch, a physicist at UCSD, as a tool for determin- ing theoretical physicists' relative quality[3] and is sometimes called the Hirsch index or Hirsch number. Howev- er, many authors suggested different ways of Hirsch index adjustment and calculation. For example, M. Abdel- Aty in 2013 recommended equation that depends on the number of the single-author published papers and their citations to be added as a new factor to the known h-index. These factors give an advantage and make a clear evidence of innovative authors and reduce the known h-index for authors who are gaining citations by adding their names to multi-author papers [6]. It is well known that h-index or Hirsch index is a science-metric indicator that was proposed by the American physicist Jorge Hirsch of the University of San Diego, California in 2005. Hirsch index is a quantitative character- istic of productivity of a scientist, a group of scientists, scientific organization or country as a whole. It is based on the number of publications and the number of citations to those publications. The index is calculated based on the distribution of citations to works of the researcher. Although qualitative method such as h-index being used and grown increasingly by different institutions and different dimensions, confusion exists over how different authors with different contributions have the same h-index and how quality can be assessed when authors with multi- author papers compared to authors with single-author papers [4].