TIME TRUNCATED ACCEPTANCE SAMPLING PLAN FOR ODDS EXPONENTIAL LOG-LOGISTIC DISTRIBUTION
By
Navyodh Singh
Department of Mathematics, Khalsa College, Amritsar-143001, Punjab, India
Email: navyodh81@yahoo.co.in
(Received : July 16, 2022; In format : July 23, 2022; Revised : October 05, 2022 ; Accepted : October 18, 2022)
DOI: https://doi.org/10.58250/jnanabha.2022.52214
Abstract
In this paper, the multiple deferred state repetitive acceptance sampling plan (MDSRASP) is proposed and designed for assuring a 50th percentile lifetime of the products under odds exponential log-logistic (OELL) distribution. The optimum parameters of the proposed plan are determined based on satisfying various blends of producer’s risk and consumer’s risk for definite quality levels in light of 50th percentile. The aim is to minimize the average sample number (ASN), though the constraints are connected with the lot acceptance probability at the acceptable and limiting quality levels. The efficiency of the proposed plan is compared with single sampling plan using ASN. Tables are formed to present the outcomes and comparison of the proposed plan with existing sampling plan is done in terms of ASN.
2020 Mathematical Sciences Classification: 62D05.
Keywords and Phrases: Producer’s risk, Consumer’s risk, Multiple deferred state repetitive acceptance sampling plan, Odds exponential log-logistic distribution, Average sample number.