scholarly journals Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Muhammad Aslam ◽  
P. Jeyadurga ◽  
S. Balamurali ◽  
Muhammad Azam ◽  
Ali AL-Marshadi
Keyword(s):  
Operating Characteristic ◽  
Characteristic Curve ◽  
Sampling Plan ◽  
Lifetime Distributions ◽  
Sample Number ◽  
Operating Characteristic Function ◽  
Mean Lifetime ◽  
The Comparative Study ◽  
Dependent State

In this paper, the modification of multiple dependent state sampling plan is proposed and designed for assuring a mean lifetime of the products under Birnbaum–Saunders distribution and Weibull distribution. The optimal parameters of the proposed plan are determined based on two points on the operating characteristic curve approach. Different combinations of producer’s risk and consumer’s risk are considered for plan parameters determination. The efficacy of the proposed plan is compared with those of other existing sampling plans using an average sample number and operating characteristic function. The economic designing of the proposed plan is also considered and the comparative study is done based on the total cost of the inspection.

scholarly journals Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull Distribution

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Srinivasa Rao Gadde ◽  
Arnold K. Fulment ◽  
Josephat K. Peter
Keyword(s):  
Weibull Distribution ◽  
Operating Characteristic ◽  
Characteristic Curve ◽  
Sampling Plan ◽  
Exponentiated Weibull Distribution ◽  
Exponentiated Weibull ◽  
Single Sampling Plan ◽  
Truncated Life Test ◽  
Dependent State

The proposed sampling plan in this article is referred to as multiple dependent state (MDS) sampling plans, for rejecting a lot based on properties of the current and preceding lot sampled. The median life of the product for the proposed sampling plan is assured based on a time-truncated life test, when a lifetime of the product follows exponentiated Weibull distribution (EWD). For the proposed plan, optimal parameters such as the number of preceding lots required for deciding whether to accept or reject the current lot, sample size, and rejection and acceptance numbers are obtained by the approach of two points on the operating characteristic curve (OC curve). Tables are constructed for various combinations of consumer and producer’s risks for various shape parameters. The proposed MDS sampling plan for EWD is demonstrated using the coronavirus (COVID-19) outbreak in China. The performance of the proposed sampling plan is compared with the existing single-sampling plan (SSP) when the quality of the product follows EWD.

scholarly journals Optimal Designing of Variables Chain Sampling Plan by Minimizing the Average Sample Number

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
S. Balamurali ◽  
M. Usha
Keyword(s):  
Operating Characteristic ◽  
Characteristic Curve ◽  
Sampling Plan ◽  
Quality Level ◽  
Sample Number ◽  
Acceptable Quality ◽  
Acceptable Quality Level ◽  
Limiting Quality Level ◽  
Optimal Designing ◽  
Average Sample

We investigate the optimal designing of chain sampling plan for the application of normally distributed quality characteristics. The chain sampling plan is one of the conditional sampling procedures and this plan under variables inspection will be useful when testing is costly and destructive. The advantages of this proposed variables plan over variables single sampling plan and variables double sampling plan are discussed. Tables are also constructed for the selection of optimal parameters of known and unknown standard deviation variables chain sampling plan for specified two points on the operating characteristic curve, namely, the acceptable quality level and the limiting quality level, along with the producer’s and consumer’s risks. The optimization problem is formulated as a nonlinear programming where the objective function to be minimized is the average sample number and the constraints are related to lot acceptance probabilities at acceptable quality level and limiting quality level under the operating characteristic curve.

scholarly journals Acceptance Sampling Plans Based on Truncated Life Tests for Gompertz Distribution

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Wenhao Gui ◽  
Shangli Zhang
Keyword(s):  
Sampling Plan ◽  
Acceptance Sampling ◽  
Gompertz Distribution ◽  
Confidence Levels ◽  
Acceptance Sampling Plan ◽  
Operating Characteristic Function ◽  
Acceptance Sampling Plans ◽  
Mean Lifetime ◽  
Truncated Life Test ◽  
Life Tests

An acceptance sampling plan for Gompertz distribution under a truncated life test is developed. For different acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample sizes required to ensure the specified mean lifetime are obtained. The operating characteristic function values and the associated producer’s risks are also presented. An example is provided to illustrate the acceptance sampling plan.

scholarly journals Determination of the Optimal Procalcitonin Threshold for Infection in Patients With Impaired Renal Function at a Community Hospital

2020 ◽  
Vol 36 (4) ◽  
pp. 157-163
Author(s):  
Caitlin Bowman ◽  
Elizabeth W. Covington
Keyword(s):  
Renal Dysfunction ◽  
Bacterial Infections ◽  
Operating Characteristic ◽  
Characteristic Curve ◽  
Kidney Injury ◽  
Future Studies ◽  
Institutional Review ◽  
Stage Renal Disease ◽  
End Stage

Background: Procalcitonin (PCT) is a biomarker that can help identify bacterial infections but can be difficult to interpret in the presence of renal dysfunction, which can elevate PCT even in the absence of infection. Objective: To determine the optimal PCT threshold to identify infection in patients with renal dysfunction and pneumonia or sepsis. Methods: A retrospective analysis was performed for inpatients with creatinine clearance of ≤60 mL/min and PCT level from 2018 to 2019. A pharmacist blinded to study outcomes classified patients as infected or noninfected based on predetermined criteria. Receiver operating characteristic curve analysis was performed to establish the optimal PCT threshold overall, as well as in subgroups of patients with chronic kidney disease (CKD), acute kidney injury (AKI), and end-stage renal disease (ESRD). Institutional review board approval was obtained. Results: A total of 198 patients were included in the study (99 infected, 99 noninfected). The optimal threshold in the AKI, CKD, and ESRD subgroups was determined to be 1.5 ng/mL, 0.1 ng/mL, and 1.75 ng/mL, respectively. Conclusion: The results of this study show that PCT thresholds were specific to type of renal dysfunction. These results differ from the traditionally accepted PCT threshold of 0.5 ng/mL for sepsis and 0.25 mg/mL for pneumonia. Future studies should confirm the appropriate PCT threshold in ESRD and CKD patient populations.

scholarly journals Designing of Chain Sampling Plan under Gamma-Poisson Distribution

2019 ◽  
Vol 9 (1S4) ◽  
pp. 711-714
Keyword(s):  
Poisson Distribution ◽  
Operating Characteristic ◽  
Characteristic Curve ◽  
Sampling Plan ◽  
Conditional Sampling ◽  
Optimal Parameters ◽  
Sampling Plans ◽  
Operating Characteristic Curve

In this manuscript, we discuss the designing procedure of chain sampling plan which is known as one of the conditional sampling plans under gamma-Poisson distribution. We determine the optimal parameters namely, number of items to be chosen for inspection from the lot and number of preceding lots to be considered in order to dispose the current lot by specifying two points on the operating characteristic curve, which is the usual designing approach of sampling plan. The procedure which is used to execute the proposed plan is provided and comparison is made among the proposed plan and existing sampling plans performance.

scholarly journals Reliability Sampling Procedure For High Priced Products

2021 ◽  
Vol 12 (4) ◽  
pp. 1117-1120
Author(s):  
V. Jemmy Joyce, Et. al.
Keyword(s):  
Characteristic Function ◽  
Sample Size ◽  
Exponential Distribution ◽  
Operating Characteristic ◽  
Design Procedure ◽  
Sampling Procedure ◽  
Sampling Plan ◽  
Life Testing ◽  
Operating Characteristic Function ◽  
Very High

Life testing for very high priced products with least of sample size can be done using the procedure of sampling plan designed in this paper. The required sample size for various of operating characteristic function using new design procedure is obtained using program in OCTAVE based on Lomaxdistribution and is compared with sample size obtained based on exponential distribution.

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