Power Series Expansions for the Distribution and Mean Value Function of a Geometric Process with Weibull Interarrival Times
NAVAL RESEARCH LOGISTICS, cilt.61, sa.8, ss.599-603, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 61 Sayı: 8
- Basım Tarihi: 2014
- Doi Numarası: 10.1002/nav.21605
- Dergi Adı: NAVAL RESEARCH LOGISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.599-603
- Anahtar Kelimeler: convolution, geometric function, power series, Weibull distribution, RENEWAL FUNCTION
- Ankara Üniversitesi Adresli: Evet
Özet
The geometric process is considered when the distribution of the first interarrival time is assumed to be Weibull. Its one-dimensional probability distribution is derived as a power series expansion of the convolution of the Weibull distributions. Further, the mean value function is expanded into a power series using an integral equation. (c) 2014 Wiley Periodicals, Inc. Naval Research Logistics, 61: 599-603, 2014