Distributions of Patterns of Pair of Successes Separated by Failure Runs of Length at Least k1 and at Most k2 Involving Markov Dependent Trials : GERT Approach
Joint Authors
Agarwal, Manju Lata
Sen, Kanwar
Mohan, Pooja
Source
Journal of Quality and Reliability Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Engineering Sciences and Information Technology
Economics & Business Administration
Abstract EN
We use the Graphical Evaluation and Review Technique (GERT) to obtain probability generating functions of the waiting time distributions of 1st, and mth nonoverlapping and overlapping occurrences of the pattern Λfk1,k2=SFF⋯F︸k1≤kf≤k2S (k1>0), involving homogenous Markov dependent trials.
GERT besides providing visual picture of the system helps to analyze the system in a less inductive manner.
Mean and variance of the waiting times of the occurrence of the patterns have also been obtained.
Some earlier results existing in literature have been shown to be particular cases of these results.
American Psychological Association (APA)
Sen, Kanwar& Mohan, Pooja& Agarwal, Manju Lata. 2013. Distributions of Patterns of Pair of Successes Separated by Failure Runs of Length at Least k1 and at Most k2 Involving Markov Dependent Trials : GERT Approach. Journal of Quality and Reliability Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-476182
Modern Language Association (MLA)
Sen, Kanwar…[et al.]. Distributions of Patterns of Pair of Successes Separated by Failure Runs of Length at Least k1 and at Most k2 Involving Markov Dependent Trials : GERT Approach. Journal of Quality and Reliability Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-476182
American Medical Association (AMA)
Sen, Kanwar& Mohan, Pooja& Agarwal, Manju Lata. Distributions of Patterns of Pair of Successes Separated by Failure Runs of Length at Least k1 and at Most k2 Involving Markov Dependent Trials : GERT Approach. Journal of Quality and Reliability Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-476182
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476182
