On the rate of convergence of the asymptotic expansion for the ergodic distribution of a semi-markov (s,S) inventory model

Aliyev R., Xanıyev T.

Cybernetics and Systems Analysis, vol.48, no.1, pp.117-121, 2012 (Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 48 Say: 1
  • Nəşr tarixi: 2012
  • Doi nömrəsi: 10.1007/s10559-012-9381-3
  • jurnalın adı: Cybernetics and Systems Analysis
  • Jurnalın baxıldığı indekslər: Scopus
  • Səhifə sayı: pp.117-121
  • Açar sözlər: (s,S) inventory model, Asymptotic expansion, Convergence rate, Ergodic distribution
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

A stochastic process is considered that describes the so-called (s, S) inventory model. The asymptotic behavior of the ergodic distribution of the process is investigated. It is established that the ergodic distribution of the process on the interval [s, S] tends to the uniform distribution for sufficiently large values of the parameter β=S-s and the convergence rate is estimated. © 2012 Springer Science+Business Media, Inc.