Many quantitative studies have been made to solve some problems of lib
rary management, which includes selection of periodicals, weeding of o
ld materials, purchasing of added copies and etc. Also, bibliometric s
tudies of which application area is intended to be the library managem
ent are considered to be included into such quantitative studies. This
paper reviews their research results, and discusses limits or drawbac
ks of quantitative methods proposed by them. In particular, we focus o
n several topics as follows: 1) ranking of periodicals by citation or
use data, 2) Bradoford's law, 3) deselecting periodicals, 4) obsolesce
nce of monographs and volumes of periodicals, 5) method for weeding of
monographs proposed by R. W. Trueswell, 6) stochastic model of librar
y circulation, such as one based on a theory of Poisson process.