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Designing an optimum acceptance sampling plan using bayesian inferences and a stochastic dynamic programming approach
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Designing an optimum acceptance sampling plan using bayesian inferences and a stochastic dynamic programming approach

Akhavan Niaki, T

Designing an optimum acceptance sampling plan using bayesian inferences and a stochastic dynamic programming approach

Akhavan Niaki, T ; Sharif University of Technology | 2009

1238 Viewed
  1. Type of Document: Article
  2. Publisher: 2009
  3. Abstract:
  4. In this paper, we use both stochastic dynamic programming and Bayesian inference concepts to design an optimum-acceptance-sampling-plan policy in quality control environments. To determine the optimum policy, we employ a combination of costs and risk functions in the objective function. Unlike previous studies, accepting or rejecting a batch are directly included in the action space of the proposed dynamic programming model. Using the posterior probability of the batch being in state p (the probability of non-conforming products), first, we formulate the problem into a stochastic dynamic programming model. Then, we derive some properties for the optimal value of the objective function, which enable us to search for the optimal policy that minimizes the ratio of the total discounted system cost to the discounted system correct choice probability. © Sharif University of Technology, June 2009
  5. Keywords:
  6. Acceptance sampling plan ; Quality inspection ; Stochastic dynamic programming ; Acceptance sampling ; Action spaces ; Bayesian inference ; Control environment ; Dynamic programming model ; Objective functions ; Optimal policies ; Optimal values ; Optimum policy ; Posterior probability ; Risk function ; Stochastic dynamic programming model ; System costs ; Bayesian networks ; Inference engines ; Optimization ; Quality control ; Stochastic models ; Stochastic systems ; Dynamic programming ; Bayesian analysis ; Dynamic response ; Probability ; Qualitative analysis ; Sampling ; Stochasticity
  7. Source: Scientia Iranica ; Volume 16, Issue 1 E , 2009 , Pages 19-25 ; 10263098 (ISSN)
  8. URL: http://scientiairanica.sharif.edu/article_3196.html