01 مرداد 1403
قباد سعادت كيا

قباد سعادت کیا

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / آمار
تلفن:
دانشکده: دانشکده علوم پایه و کاربردی

مشخصات پژوهش

عنوان
Optimal Grouping of Dependent Components in Parallel-Series and Series-Parallel Systems with Independent Subsystems Equipped with Starting Devices
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Archimedean copula; stochastic orders; parallel-series systems; series-parallel systems; starting devices
پژوهشگران نارایاناسوامی بالاکریشنان (نفر اول)، قباد سعادت کیا (نفر دوم)، علی اکبر حسین زاده (نفر سوم)، مصطی ستاری (نفر چهارم)

چکیده

In this paper, we consider parallel-series and series-parallel systems comprising dependent components that are drawn from a heterogeneous population consisting of m different subpopulations, and each subsystem is equipped with a starter device. We also make the assumption that the components within each subpopulation are dependent, while the subsystems themselves are independent. The joint distribution of these subsystems is modeled using an Archimedean copula. Our research considers a general setting in which each subpopulation has a different Archimedean copula for its dependence. By adopting this general setup, we investigate the stochastic, hazard rate, and reversed hazard rate orders between these systems. Furthermore, we provide several numerical examples to demonstrate all the theoretical results established in this study. These results broaden the scope of the known results in the existing literature.