Influence of environmental factors on stress-strength systems with replaceable components

Zohreh Pakdaman and Mahdi Doostparast

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 18, 6487-6503

Abstract: This paper deals with a stress-strength system wherein the strength system has n replaceable components under internal environmental factors. These factors change the strength system and impose different effects on the magnitudes of the component strengths. The stress-strength reliability of the system under various configurations among random strengths of components and random internal environmental factors are studied in details. A characterization result for the stress distribution based on the stress-strength reliability of the system is also obtained. Moreover, some stochastic orders for comparing the system performance are discussed. Under a non-parametric setting, the lower and upper bounds for the stress-strength reliability of system are proposed. Explicit expressions for mean remaining strength functions are also derived. Some illustrative examples are assessed.

Date: 2023
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DOI: 10.1080/03610926.2022.2031217

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