Hazard Rate Order of Fail-Safe Systems with Multiple-outlier Scale‎ ‎Components under Random Shocks

Al-Khazraji, Hadhal Hatem Mohmmed; Almasi, Isaac; Saadat Kia, Ghobad

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Hazard Rate Order of Fail-Safe Systems with Multiple-outlier Scale‎ ‎Components under Random Shocks

Hadhal Hatem Mohmmed Al-Khazraji

, Isaac Almasi

, Ghobad Saadat Kia ^*

Abstract: (16 Views)

This paper investigates the hazard rate order in fail-safe systems comprising multiple-outlier scale components subject to random shocks. Under certain conditions, we first establish that increasing the survival probabilities of components against shocks improves the system in the hazard rate sense. We then demonstrate that an balanced allocation of component counts, in the sense of majorization of the size vector, can serve as an effective strategy for enhancing the reliability of such systems. Finally, we examine the effect of simultaneous changes in scale parameters and shock probabilities on the hazard rate order within a two-outlier model. Practical interpretations and potential applications of the derived results are also discussed.

Keywords: Hazrad Rate Order, Fail-Safe Systems, Multiple-Outlier Scale Model, Majorization Order, Random Shocks.

Full-Text [PDF 389 kb] (7 Downloads)

Type of Study: Research | Subject: Reliability
Received: 2026/07/24 | Accepted: 2027/03/1

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