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On Optimal Allocation of Redundancies in Random Weighted Coherent Systems
(Wiley, 2026) Sahoo, Tanmay; Hazra, Nil Kamal; Balakrishnan, Narayanaswamy
Unlike the ordinary coherent systems, a random weighted coherent system captures components' disparity. Its performance is measured by some appropriate measure of contributions made by all of its components. In this paper, we consider random weighted coherent systems, defined based on the survival capacity, with three different survival mechanisms, namely, Types-I, II, and III. Then, we study the optimal active redundancy allocation policy as well as the optimal assembly method of random weights in a random weighted coherent system. We provide several numerical examples to illustrate all the results established here.
A General Type of Linear Consecutive-K Systems
(Springer, 2026) Yi, He; Balakrishnan, Narayanaswamy; Li, Xiang
In this paper, some well-known consecutive k-type systems, including linear consecutive-k-out-of-n: F systems and linear l-consecutive-k-out-of-n: F systems without/with overlapping, are generalized by using more general failure patterns. Finite Markov chain imbedding approach (FMCIA) is applied in a new way for evaluating reliabilities of these generalized new systems. Some illustrative examples are provided for demonstrating the theoretical results established here and also for showing the efficiency of the computational process. Finally, some possible applications and generalizations are mentioned.