Performance and Reliability Analysis Using Directed Acyclic Graphs
IEEE Transactions on Software Engineering
Linear time algorithms for NP-hard problems restricted to partial k-trees
Discrete Applied Mathematics
The Combinatorics of Network Reliability
The Combinatorics of Network Reliability
Predicting Performance of Parallel Computations
IEEE Transactions on Parallel and Distributed Systems
Reliability Analysis of Distributed Systems Based on a Fast Reliability Algorithm
IEEE Transactions on Parallel and Distributed Systems
The N-Version Approach to Fault-Tolerant Software
IEEE Transactions on Software Engineering
Efficient algorithms for the reliabilities of replicated n-parallel-task graphs
Operations Research Letters
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In this paper, we consider the problem of calculating the reliability of the replicated and-fork/and-join (RAFAJ) task graphs. An RAFAJ task graph is generated from an AFAJ task graph with vertex and arc replications. Due to the AFAJ constraint, the task graphs considered in our problem are more general than those considered in the network reliability problem, which is an NP-complete problem for general task graphs. In this paper, we propose an algorithm with time complexity O(n . 2^2^r); where n is number of concurrent tasks, and r is the number of replications.