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Design of Optimal Reliability Acceptance Sampling Plans for Exponential Distribution

  • Mahesh Kumar EMAIL logo und Ramyamol P C
Veröffentlicht/Copyright: 15. April 2016
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Abstract

In this paper, an attempt is made to derive the most efficient economic reliability sampling plans for accepting a lot containing identical units having exponentially distributed lifetime with parameter θ. We consider two types of sampling plans, namely, (a) sequential sampling plan (t1,t2) and (b) repetitive group sampling plan (n,t1,t2). Under plan (a), the lot is rejected when the time between successive failures (Yr) is less than t1, and accepted when Yrt2. The testing will continue for t1Yr<t2. Also we formulate an optimization problem that minimizes the total expected testing cost. Under plan (b), four different criteria are used to derive the sampling plan. The optimization problem formulated under each criterion is solved using a genetic algorithm to obtain the plan parameters (n,t1,t2). Several numerical examples are discussed to illustrate our plans. In addition, a real example is also considered to demonstrate our plan. Finally, we compare the cost of our plan with that of an existing plan in the literature. Our plan has significant potential to reduce the testing cost by about 50%.

The authors wish to express their thanks to the editor and the reviewer for their suggestions to improve the presentation and quality of the paper.

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Received: 2015-8-25
Revised: 2015-12-11
Accepted: 2016-3-26
Published Online: 2016-4-15
Published in Print: 2016-6-1

© 2016 by De Gruyter

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