The Least Cost Testing Sequence Problem
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V. S. Sampath Kumar
Abstract
The Least Cost Testing Sequence (LCTS) problem is a special case of the Weighted Shortest Processing Time (SPT) sequencing problem. A manufactured item has to pass each of n-tests at the final inspection, where the ith test has an associated cost Ci of inspection and the item has a non zero probability pi of passing that test. The testing will be terminated if the item fails on any one test. When there is no constraint on the technical ordering of conducting the tests, it has been established that the optimal sequence that minimizes the expected inspection cost is obtained by sequencing the tests such that
holds. The new aspect studied in this paper is the provision for rework. We admit a non-zero probability ri of rework for the ith test and a maximum of m − 1-reworks allowed for the item. The probability of termination of the testing process at the end of the ith test is the sum of probabilities of normal fail, fail after rework and that of reaching the mth rework. This probability will become the weight Wi to be given for the ith test. An interesting probability structure is identified to derive Wi under the condition that the probabilities are non identical. An array called Probability Position Matrix (PPM) is developed and a spreadsheet is designed to work out the Wi and the sequence. This model may be applied to project evaluation studies, final testing in satellite launching cases etc.
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Artikel in diesem Heft
- Maintenance Policies with Minimal Repair
- Analysis of a Repairable System Subjected To Multiple Modes of Failure
- Run Length Variability and Three Sigma Control Limits
- Estimating Structural Reliability in the Presence of Covariates Via Bayesian Methods
- A Note on Point Estimation of System Reliability Exemplified for the Log-Logistic Distribution
- A Note on Testing Exponentiality Against New Better Than Used of Specified Age
- Measurement Procedures for Improving the Variability Function
- The Least Cost Testing Sequence Problem
- Process Control for Three Quality Classes and Three Repair Actions
- Standardisation of Flour Testing in Alveograph NG
- A Problem Called ISO 2859-1 Sampling Procedures for Inspection by Attributes - Part 1
