Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman
-
Nidhi Tiwari
and
Suraj Bhan Singh
Abstract
In this paper a system consisting of two subsystems A and B is analyzed. A has only one unit while B has two units, B1 and B2, connected in such a manner that B2 is in hot standby with B1. The system is modelled by a marked point process. There are two repairmen namely a supervisor and a novice. The supervisor is always present, while the novice might be in vacation. Two types of failure of the components of B are considered. The model is analyzed under “preemptive-repeat repair discipline”. By employing Laplace transformation and assuming the Gumbel–Hougaard copula, the state transition probabilities, reliability, availability and expected profit are obtained along with the steady state behaviour of the system. At the end some special cases of the system are investigated.
© de Gruyter 2010
Articles in the same Issue
- Editorial
- Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles
- Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe
- On the Robustness of Reliability Characteristic of Alpha-Distributed Lifetimes
- Binomial Poisson Distribution Revisited
- Empirical Evaluation of Stochastikon Magister
- Selection of Bayesian Double Sampling Inspection Plans by Attributes with Small Acceptance Numbers
- Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman
- Optimal Replacement Policy Based on the Number of Down Times with Priority in Use
- Median Inactivity Time Function and its Reliability Properties
- Statistical Inference on Software Reliability Assuming Exponential Fault Correction Time
- On Testing Exponentiality Against DMRL Alternatives
- Designing Single Sampling Plans by Variables Using Predictive Distribution
Articles in the same Issue
- Editorial
- Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles
- Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe
- On the Robustness of Reliability Characteristic of Alpha-Distributed Lifetimes
- Binomial Poisson Distribution Revisited
- Empirical Evaluation of Stochastikon Magister
- Selection of Bayesian Double Sampling Inspection Plans by Attributes with Small Acceptance Numbers
- Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman
- Optimal Replacement Policy Based on the Number of Down Times with Priority in Use
- Median Inactivity Time Function and its Reliability Properties
- Statistical Inference on Software Reliability Assuming Exponential Fault Correction Time
- On Testing Exponentiality Against DMRL Alternatives
- Designing Single Sampling Plans by Variables Using Predictive Distribution
