Browse > Article
http://dx.doi.org/10.5762/KAIS.2012.13.6.2452

Analysis of an Inspection Process Allowing Consecutive Two-time Testing of Products Using Markov Chains  

Ko, Jeong-Han (Department of Industrial Engineering, Ajou University)
Publication Information
Journal of the Korea Academia-Industrial cooperation Society / v.13, no.6, 2012 , pp. 2452-2457 More about this Journal
Abstract
When a quality inspection process rejects a product unit, consecutive repeated inspections are sometimes conducted for the rejected unit to reduce a false reject possibility. This paper analyzes a special inspection process that allows up to two times of consecutive testing for each product to decrease type I inspection errors. This study uses a Markov chain to model the steps of the inspection process and a product unit's quality states during inspection. Historical inspection results from a company are used as the data for the Markov chain model. Using the Markov chain model and data, this study analyzes the effect of this special inspection rule on the proportion of the final quality levels and scrap rate. The results demonstrate that this inspection process of possible double testing could help reduce unnecessary rejects and consequently decrease material and production costs.
Keywords
Inspection; two-time testing; quality; type I error; Markov chain;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Tomek, L., Mainkar, V., Geist, R. M., & Trivedi, K. S., "Reliability modeling of life-critical, real-time systems", Proceedings of the IEEE, 82(1), pp. 108-121, 1994.   DOI
2 Sang, H., Wang, G., & Zhou, Z., "Evolutionary multi-objective optimization of inspection frequencies for substation condition-based maintenance", 2011 6th International Forum on Strategic Technology (IFOST), pp. 480-486, 2011.
3 Zhang, Z., & Love, C., "A simple recursive Markov chain model to determine the optimal replacement policies under general repairs", Computers & Operations Research, 27(4), pp. 321-333, 2000.   DOI
4 Bukowski, J. V., "Modeling and analyzing the effects of periodic inspection on the performance of safety-critical systems", IEEE Transactions on Reliability, 50(3), pp. 321-329, 2001.   DOI
5 Klein, M., "Markovian decision models for reject allowance problems", Management Science, 12(5), pp. 349-358, 1966.   DOI
6 Finkelshtein, A., Herer, Y. T., Raz, T., & Ben-Gal, I., "Economic optimization of off-line inspection in a process subject to failure and recovery", IIE Transactions, 37(11), pp. 995-1009, 2005.   DOI
7 Chen, D., Cao, Y., Trivedi, K. S., & Hong, Y., "Preventive maintenance of multi-state system with phase-type failure time distribution and non-zero inspection time," International Journal of Reliability Quality and Safety Engineering, 10, pp. 323-344, 2003.   DOI
8 Faddoul, R., Raphael, W., & Chateauneuf, A., "A generalised partially observable Markov decision process updated by decision trees for maintenance optimisation", Structure and Infrastructure Engineering, 7(10), pp. 783-796, 2011.   DOI
9 Wang, C. H., & Sheu, S., "Determining the optimal production-maintenance policy with inspection errors: using a Markov chain", Computers & Operations Research, 30(1), pp. 1-17, 2003.   DOI
10 Borrero, J., & Akhavan-Tabatabaei, R., "A Markov decision process model for optimal policy making in the maintenance of a single-machine single-product toolset", Proceedings of the 2010 Winter Simulation Conference (WSC), pp. 2594-2605, 2010.
11 Park, W. & Kim, H., "Performance analysis using Markov chain in WiBro", Journal of the Korea Academia-Industrial Cooperation Society, 11(1), pp. 190-197, 2010.   DOI
12 Lim, H., "Named entity boundary recognition using hidden Markov model and hierarchical information", Journal of the Korea Academia-Industrial Cooperation Society, 7(2), pp. 182-187, 2006.
13 Undisclosed company data, "Term project I for IMSE 428", 2008.
14 Winston, W. L., Introduction to Probability Models: Operations Research, Volume II, Duxbury Press, 4th edition, 2003.