Distributions of Patterns of Pair of Successes Separated by Failure Runs of Length at Least and at Most Involving Markov Dependent Trials: GERT Approach | Zendy

Kanwar Sen | Zendy; Pooja Mohan | Zendy; Manju Agarwal | Zendy

Open Access

Distributions of Patterns of Pair of Successes Separated by Failure Runs of Length at Least and at Most Involving Markov Dependent Trials: GERT Approach

Author(s) -

Kanwar Sen,

Pooja Mohan,

Manju Agarwal

Publication year - 2013

Publication title -

journal of quality and reliability engineering

Language(s) - English

Resource type - Journals

eISSN - 2314-8047

pISSN - 2314-8055

DOI - 10.1155/2013/494976

Subject(s) - markov chain , variance (accounting) , computer science , markov model , statistics , mathematics , algorithm , accounting , business

We use the Graphical Evaluation and Review Technique (GERT) to obtain probability generating functions of the waiting time distributions of 1st, and th nonoverlapping and overlapping occurrences of the pattern , 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

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