Redundancy in Two-series-parallel and Two-parallel-series Systems with Independent Components Randomly Chosen from Two Batches

Longxiang Fang (), Yu Ruan () and N. Balakrishnan ()
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Longxiang Fang: Anhui Normal University, Department of Mathematics and Statistics
Yu Ruan: Anhui Normal University, Department of Mathematics and Statistics
N. Balakrishnan: McMaster University, Department of Mathematics and Statistics

Methodology and Computing in Applied Probability, 2025, vol. 27, issue 4, 1-21

Abstract: Abstract In this paper, we study two-series-parallel and two-parallel-series systems with $$\varvec{2n}$$ independent components that are randomly chosen from two different batches. We assume the $$\varvec{n}$$ components from the first batch to be more reliable than those from the second batch with respect to the stochastic order. We then use distortion functions to obtain general results for different redundancy procedures, including the popular active redundancy and minimal repair procedures. The purpose is to determine which batch of components the redundancy should be placed in the system for each subsystem, according to its structure. For a two-parallel-series system, we present some conditions and show that the redundancy mechanism should be assigned to the component from the weaker batch. But, for a two-series-parallel system, under some conditions, we show that the best option is to assign the redundancy to the component from the better batch. Finally, some examples are presented for illustrating all the results established here.

Keywords: Redundancy allocation; Active redundancy; Minimal repair; Distortion distribution; Two-series-parallel system; Two-parallel-series system; 60E15; 62G30 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11009-025-10229-8

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