Open Access

ARTICLE

Acceptance Sampling Plans with Truncated Life Tests for the Length-Biased Weighted Lomax Distribution

Amer Ibrahim Al-Omari^1,*, Ibrahim M. Almanjahie^2,3, Olena Kravchuk⁴

1 Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan
2 Department of Mathematics, College of Science, King Khalid University, Abha, 62529, Saudi Arabia
3 Statistical Research and Studies Support Unit, King Khalid University, Abha, 62529, Saudi Arabia
4 School of Agriculture, University of Adelaide, Adelaide, SA 5000, Australia

* Corresponding Author: Amer Ibrahim Al-Omari. Email:

(This article belongs to the Special Issue: Emerging Computational Intelligence Technologies for Software Engineering: Paradigms, Principles and Applications)

Computers, Materials & Continua 2021, 67(1), 285-301. https://doi.org/10.32604/cmc.2021.014537

Received 27 September 2020; Accepted 28 October 2020; Issue published 12 January 2021

Abstract

In this paper, we considered the Length-biased weighted Lomax distribution and constructed new acceptance sampling plans (ASPs) where the life test is assumed to be truncated at a pre-assigned time. For the new suggested ASPs, the tables of the minimum samples sizes needed to assert a specific mean life of the test units are obtained. In addition, the values of the corresponding operating characteristic function and the associated producer’s risks are calculated. Analyses of two real data sets are presented to investigate the applicability of the proposed acceptance sampling plans; one data set contains the first failure of 20 small electric carts, and the other data set contains the failure times of the air conditioning system of an airplane. Comparisons are made between the proposed acceptance sampling plans and some existing acceptance sampling plans considered in this study based on the minimum sample sizes. It is observed that the samples sizes based on the proposed acceptance sampling plans are less than their competitors considered in this study. The suggested acceptance sampling plans are recommended for practitioners in the field.

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Citations