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In this article, we investigate stochastic comparisons of the lifetimes of series and parallel systems comprising components following the scale-additive hazard rate model, subject to random shocks, where dependence among component lifetimes is modeled via Archimedean copulas. By imposing suitable conditions on the baseline distribution, model parameters, generator functions, and shock occurrence probabilities, we establish sufficient criteria for comparing the lifetimes of two systems under both the usual stochastic order and the hazard rate order. The results demonstrate how parameter heterogeneity and dependence structure simultaneously influence system reliability. Several numerical examples are also provided to substantiate the theoretical findings.

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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.