Asymptotic results for an inventory model of type (S, s) with asymmetric triangular distributed interference of chance and delay

Hanalioglu Z., Xanıyev T.

Gazi University Journal of Science, vol.31, no.1, pp.174-187, 2018 (Scopus, TRDizin) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 31 Say: 1
  • Nəşr tarixi: 2018
  • jurnalın adı: Gazi University Journal of Science
  • Jurnalın baxıldığı indekslər: Scopus, TR DİZİN (ULAKBİM)
  • Səhifə sayı: pp.174-187
  • Açar sözlər: Asymmetric triangular distribution, Asymptotic expansion, Inventory model of type (s, S), Moments of ergodic distribution
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

In this study, a semi – Markovian inventory model of type (s, S) is considered and the model is expressed by a modification of a renewal – reward process (X(t)) with an asymmetric triangular distributed interference of chance and delay. The ergodicity of the process X(t) is proved under some weak conditions. Additionally, exact expressions and three – term asymptotic expansions are found for all the moments of the ergodic distribution. Finally, obtained asymptotic results are compared with exact results for a special case.