Dodge-Romig LTPD Single Sampling Plan under Quality Investment and Inspection Error

2013 ◽  
Vol 284-287 ◽  
pp. 3591-3596
Author(s):  
Chung Ho Chen
Keyword(s):  
Economic Design ◽  
Optimal Sampling ◽  
Consumer’S Risk ◽  
Total Cost ◽  
Sampling Inspection ◽  
Inspection Plan ◽  
Investment Level ◽  
Single Sampling Plan ◽  
Expected Total Cost ◽  
Quality Investment

In this study, the author proposes an economic design of quality investment for a Dodge-Romig single sampling inspection plan with inspection error. The optimal sampling inspection plan and quality investment level are jointly determined by minimizing the expected total cost of product under the specified consumer’s risk. Finally, the comparison of solution between the model with/without inspection error will be provided for illustration.

Economic Design of a Combined Continuous Lot by Lot Acceptance Sampling Plan under the Quality Investment

2011 ◽  
Vol 145 ◽  
pp. 410-414 ◽  
Author(s):  
Chung Ho Chen
Keyword(s):  
Sampling Plan ◽  
Acceptance Sampling ◽  
Total Cost ◽  
Continuous Sampling ◽  
Acceptance Sampling Plan ◽  
Investment Level ◽  
The Mean ◽  
Quality Investment ◽  
Economic Selection ◽  
Selection Of

In this study, the economic selection of quality investment for designing a combined continuous lot by lot acceptance sampling plan with average outgoing quality limit (AOQL) protection is proposed. Both the mean and the standard deviation of the process are measured as an exponential function of the quality investment. The optimal combination of parameters for single and continuous sampling plan and the quality investment level is jointly determined by minimizing the expected total cost of product under the specified AOQL value.

scholarly journals Minimax solution of sampling inspection plan

1956 ◽  
Vol 01 (4) ◽  
pp. 296-314
Author(s):  
Miloslav Jiřina ◽  
Jiří Nedoma
Keyword(s):  
Minimax Solution ◽  
Sampling Inspection ◽  
Inspection Plan

scholarly journals Step-Wise Group Screening Designs with Unequal A-Priori Probabilities and Errors in Observations

2003 ◽  
Vol 8 (2) ◽  
pp. 153
Author(s):  
M.M. Manene
Keyword(s):  
Cost Function ◽  
Group Size ◽  
A Priori ◽  
Expected Number ◽  
Total Cost ◽  
Screening Designs ◽  
Expected Total Cost

The performance of step-wise group screening with unequal a-priori probabilities in terms of the expected number of runs and the expected maximum number of incorrect decisions is considered. A method of obtaining optimal step-wise designs with unequal a-priori probabilities is presented for the case in which the direction of each defective factor is assumed to be known a -priori and observations are subject to error. An appropriate cost function is introduced and the value of the group size which minimizes the expected total cost is obtained.  

Optimization of Leased Equipment Maintenance Policy Based on History Failure Data

2021 ◽  
pp. 2150030
Author(s):  
Ke Dong ◽  
Kehong Chen
Keyword(s):  
Power Law ◽  
Cost Model ◽  
Maintenance Strategy ◽  
Maintenance Policy ◽  
Power Law Process ◽  
Total Cost ◽  
Cost Rate ◽  
Failure Data ◽  
Expected Total Cost ◽  
The Cost

We propose a maintenance policy for new equipment on a repair-refund maintenance strategy in this paper and derive the optimal lease period from the lessor’s perspective based on independent and identical distribution of historical failure data which obey power law process. The cost model of a full refund and a proportional refund is studied, and the corresponding optimal leasing period is determined by reducing the expected total cost rate to the largest extent. We use a numerical example to illustrate the proposed cost model and analyze the sensitivity of related parameters. Furthermore, we show that the proportional refund policy is preferable than a full refund to the lessor. Finally, according to the simulation outcome, the proposed methods are effective and instructions for lessor in regard to equipment lease are provided.

Bayesian Reliability Sampling Plans under the Conditions of Rayleigh-Inverse-Rayleigh Distribution

2014 ◽  
Vol 0 (0) ◽  
Author(s):  
S. Kalaiselvi ◽  
A. Loganathan ◽  
R. Vijayaraghavan
Keyword(s):  
Probability Distributions ◽  
Rayleigh Distribution ◽  
Predictive Distribution ◽  
Life Testing ◽  
Sampling Plans ◽  
Sampling Inspection ◽  
Single Sampling Plan ◽  
Reliability Sampling Plans ◽  
Quality Of Products

AbstractReliability sampling plans are used to take decisions on the disposition of lots based on life testing of products. Such plans are developed taking into the consideration of relevant probability distributions of the lifetimes of the products under testing. When the quality of products varies over lots, then a predictive distribution of the lifetime should be used to design sampling plans. In this paper, designing of reliability single sampling plan based on the predictive distribution of the lifetime is considered. It is assumed that sampling inspection is carried out through life testing of products with hybrid censoring. The predictive distribution is obtained assuming that the probability distribution of the lifetime of the product is Rayleigh and the process parameter has an inverse-Rayleigh prior. Plan parameters are determined using hypergeometric, binomial and Poisson probabilities, providing protection to both producer as well as consumer.

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