Power Series Expansions for the Distribution and Mean Value Function of a Geometric Process with Weibull Interarrival Times

被引：7

作者：

Aydogdu, Halil ^{[1
]}

Karabulut, Ihsan ^{[1
]}

机构：

[1] Ankara Univ, Dept Stat, TR-06100 Ankara, Turkey

来源：

NAVAL RESEARCH LOGISTICS | 2014年 / 61卷 / 08期

关键词：

convolution; geometric function; power series; Weibull distribution; RENEWAL FUNCTION;

D O I：

10.1002/nav.21605

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

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

引用

页码：599 / 603

页数：5

共 12 条

[1]

[Anonymous], AM J MATH MANAG SCI

[2] On the exact distribution and mean value function of a geometric process with exponential interarrival times [J].