Designs and comparison of simple stress accelerated life tests for Weibull-half-logistic distribution based on progressive Type I censoring and a cost constraint

Kazemi, Ramin; Mehreyan, Sedigheh Zamani

doi:10.47974/JSMS-1021

Open Access Research Article

Designs and comparison of simple stress accelerated life tests for Weibull-half-logistic distribution based on progressive Type I censoring and a cost constraint

^*Ramin KazemiCorresponding authorr.kazemi@sci.ikiu.ac.irDepartment of StatisticsImam Khomeini International UniversityQazvin, Iran0000-0001-5496-7565View full profile → , Sedigheh Zamani MehreyanDepartment of StatisticsImam Khomeini International UniversityQazvin, IranView full profile →

* Corresponding author · click or hover a name for details

pp. 1301–1315Vol. 27Issue 7October 2024DOI: 10.47974/JSMS-1021XML

Received:: 15 Jun 2022
Published Online:: 30 Nov 2024
Article type:: Research Article
Language:: EN
Article no.:: JSMS-1021
Pages:: 1301–1315

Abstract

The goal of this paper is to design and compare the simple constant and step stress accelerated life tests (CSALTs and SSALTs) for the Weibull-half-logistic failure data based on progressive Type I censoring and a cost constraint. Due to resource limitations in practice, an accelerated life test is effectively implemented when the stress duration is accurately determined at the design stage. The cost of testing and the accuracy of parameter estimation are affected by the duration of stress. Based on the five optimal criteria, the optimal stress duration is compared when the total testing costs do not exceed a pre-determined budget. Through the numerical results, it can be seen that the test cost and time can be reduced with the cost limit. It is concluded that in both types of stress and unconstrained test mode, the least cost and time is for the C-optimal design. Finally and for illustrative purposes, a real data set has been studied and analyzed.

Keywords

SALT Weibull-half-logistic distribution Cost constraint Optimal design Progressive Type I censoring

Subject Classifications

62N0590C3162N01

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