Optimal sampling plan for an unreliable multistage production system subject to competing and propagating random shifts

References

• Abolmohammadi, M., Seif, A., Behzadi, M.H. and Moghadam, M.B. (2019) Economic statistical design of adaptive X¯ control charts based on quality loss functions. Operational Research, Forthcoming. https://doi.org/10.1007/s12351-019-00467-3
   Google Scholar
• Ahmed, I., Sultana, I., Paul, S.K. and Azeem, A. (2014) Performance evaluation of control chart for multiple assignable causes using genetic algorithm. International Journal of Advanced Manufacturing Technology, 70, 1889–1902.
   Web of Science ®Google Scholar
• Azadeh, A., Sangari, M.S., Sangari, E. and Fatehi, S. (2015) A particle swarm algorithm for optimising inspection policies in serial multistage production processes with uncertain inspection costs. International Journal of Computer Integrated Manufacturing, 28 (7), 766–780.
   Web of Science ®Google Scholar
• Bai, D.S. and Yun, H.J. (1996) Optimal allocation of inspection effort in a serial multistage production system. Computers & Industrial Engineering, 30(3), 387–396.
   Web of Science ®Google Scholar
• Bouslah, B., Gharbi, A. and Pellerin, R. (2013) Joint optimal lot sizing and production control policy in an unreliable and imperfect manufacturing system. International Journal of Production Economics, 144(1), 143–156.
   Web of Science ®Google Scholar
• Cao,Y. and Subramaniam, V. (2013) Improving the performance of manufacturing systems with continuous sampling plans. IIE Transactions, 45(6), 575–590.
   Web of Science ®Google Scholar
• Charongrattanasakul, P. and Pongpullponsak, A. (2011) Minimizing the cost of integrated systems approach to process control and maintenance model by EWMA control chart using genetic algorithm. Expert Systems with Applications, 38(5), 5178–5186.
   Web of Science ®Google Scholar
• Colledani, M. and Tolio, T. (2012) Integrated quality, production logistics and maintenance analysis of multistage asynchronous manufacturing systems with degrading machines. CIRP Annals-Manufacturing Technology, 61(1), 455–458.
   Web of Science ®Google Scholar
• Kim, J., Jeong, M.K. and Elsayed, E.A. (2017) Monitoring multistage processes with autocorrelated observations. International Journal of Production Research, 55(8), 2385–2396.
   Web of Science ®Google Scholar
• Kim, J. and Gershwin, S.B. (2005) Integrated quality and quantity modeling of a production line. OR Spectrum, 27, 287–314.
   Web of Science ®Google Scholar
• Kim, J. and Gershwin S.B. (2008) Analysis of long flow lines with quality and operational failures. IIE Transactions, 40(3), 284–296.
   Web of Science ®Google Scholar
• Lam, Y.C., Shamsuzzaman, M., Zhang, S., and Wu, Z. (2005) Integrated control chart system - optimization of sample sizes, sampling intervals and control limits. International Journal of Production Research, 43(3), 563–582.
   Web of Science ®Google Scholar
• Liberopoulos, G., Kozanidis, G. and Tsarouhas, P. (2007) Performance evaluation of an automatic transfer line with WIP scrapping during long failures. Manufacturing & Service Operations Management, 9(1), 62–83.
   Web of Science ®Google Scholar
• Linderman, K., McKone-Sweet, K.E. and Anderson, J.C. (2005) An integrated system approach to process control and maintenance. European Journal of Operational Research, 164(2), 324–340.
   Web of Science ®Google Scholar
• Liu, L., Yu, M., Ma, Y. and Tu, Y. (2013) Economic and economic-statistical designs of an X¯ control chart for two-unit series systems with condition-based maintenance. European Journal of Operational Research, 226(3), 491–499.
   Web of Science ®Google Scholar
• Lorenzen, T.J. and Vance, L.C. (1986) The economic design of control charts: A unified approach. Technometrics, 28(1), 3–10.
   Web of Science ®Google Scholar
• Malaki, M., Niaki, S.T.A. and Ershadi, M.J. (2011) A comparative study of four evolutionary algorithms for economic and economic-statistical designs of MEWMA control charts. Journal of Optimization in Industrial Engineering, 9, 1–13.
   Google Scholar
• MATLAB & Simulink (2019) Mixed integer optimization. https://www.mathworks.com/help/gads/mixed-integer-optimization.html#bs1cifg. Accessed October 22, 2019.
   Google Scholar
• Meerkov, S.M. and Zhang, L. (2010) Product quality inspection in Bernoulli lines: Analysis, bottlenecks, and design. International Journal of Production Research, 48(16), 4745–4766.
   Web of Science ®Google Scholar
• Mehrafrooz, Z. and Noorossan, R. (2011) An integrated model based on statistical process control and maintenance. Computers & Industrial Engineering, 61(4),1245–1255.
   Web of Science ®Google Scholar
• Moghadam, M.B., Khadem, Y., Fani, S. and Pasha, M.A. (2018) Effects of non-normality on economic and economic statistical designs of X¯ control charts with multiple assignable causes and Weibull in-control times. Communications in Statistics-Simulation and Computation, 47(7), 2055–2069.
   Web of Science ®Google Scholar
• Mohammadi, M., Dantan, J.Y., Siadat, A. and Tavakkoli-Moghaddam, R. (2018) A bi-objective robust inspection planning model in a multi-stage serial production system. International Journal of Production Research, 56(4), 1432–1457.
   Web of Science ®Google Scholar
• Montgomery, D.C. (2009) Introduction to Statistical Quality Control, sixth edition, Wiley, Hoboken, NJ.
   Google Scholar
• Naebulharama, R. and Zhang, L. (2014) Bernoulli serial lines with deteriorating product quality: Performance evaluation and system-theoretic properties. International Journal of Production Research, 52(5),1479–1494.
   Web of Science ®Google Scholar
• Pandey, D., Kulkarni, M.S. and Vrat, P. (2011) A methodology for joint optimization for maintenance planning, process quality, and production scheduling. Computers and Industrial Engineering, 61(4), 1098–1106.
   Web of Science ®Google Scholar
• Pasha, M.A., Moghadam, M.B., Fani, S. and Khadem, Y. (2018) Effects of quality characteristic distributions on the integrated model of Taguchi’s loss function and economic statistical design of X¯-control charts by modifying the Banerjee and Rahim economic model. Communications in Statistics - Theory and Methods, 47(8), 1842–1855.
   Web of Science ®Google Scholar
• Rau, H. and Chu, Y.-H. (2005) Inspection allocation planning with two types of workstation: WVD and WAD. International Journal of Advanced Manufacturing Technology, 25(9-10), 947–953.
   Web of Science ®Google Scholar
• Rezaei-Malek, M., Mohammadi, M., Dantan, J., Siadat, A. and Tavakkoli-Moghaddam, R. (2019) A review on optimisation of part quality inspection planning in a multi-stage manufacturing system. International Journal of Production Research, 57(15-16), 4880–7897.
   Web of Science ®Google Scholar
• Safaei, A.S., Kazemzadeh, R.B. and Gan, H.S. (2015) Robust economic-statistical design of X¯ control chart. International Journal of Production Research, 53(14), 4446–4458.
   Web of Science ®Google Scholar
• Salmasnia, A., Abdzadeh, B. and Namdar, M. (2017) A joint design of production run length, maintenance policy and control chart with multiple assignable causes. Journal of Manufacturing Systems, 42, 44–56.
   Web of Science ®Google Scholar
• Shi, J. and Zhou, S. (2009) Quality control and improvement for multistage systems: A survey. IIE Transactions, 41, 744–753.
   Web of Science ®Google Scholar
• Sultana, I., Ahmed, I., Chowdhury, A.H. and Paul, S.K. (2014) Economic design of X¯ control chart using genetic algorithm and simulated annealing algorithm. International Journal of Productivity and Quality Management, 14(3), 352–372.
   Google Scholar
• Xiang, L. and Tsung, F. (2008) Statistical monitoring of multi-stage processes based on engineering models. IIE Transactions, 40(10), 957–970.
   Web of Science ®Google Scholar
• Xiang, Y. (2013) Joint optimization of X¯ control chart and preventive maintenance policies: A discrete-time Markov chain approach. European Journal of Operational Research, 229(2), 382–390.
   Web of Science ®Google Scholar
• Yang,Y.M., Su, C.Y. and Pearn,W.L. (2010) Economic design of X¯ control charts for continuous flow process with multiple assignable causes. International Journal of Production Economics, 128(1),110–117.
   Web of Science ®Google Scholar
• Yu, F.J. and Hou, J.L. (2006) Optimization of design parameters for X¯ control charts with multiple assignable causes. Journal of Applied Statistics, 33(3), 279–290.
   Web of Science ®Google Scholar
• Yu, F.J., Tsou, C.S., Huang, K.I. and Wu, Z. (2010) An economic-statistical design of X¯ control charts with multiple assignable causes. Journal of Quality, 17(4), 327–338.
   Google Scholar
• Zantek, P.F.,Wright, G.P. and Plante, R.D. (2002) Systems with correlated stages process and product improvement in manufacturing systems with correlated stages. Management Science, 48(5), 591–606.
   Web of Science ®Google Scholar
• Zhong, J. and Ma, Y. (2017) An integrated model based on statistical process control and maintenance for two-stage dependent processes. Communications in Statistics: Simulation and Computation, 46(1), 106–126.
   Web of Science ®Google Scholar
• Zhou, S., Huang, Q. and Shi, J. (2003) State space modeling of dimensional variation propagation in multistage machining process using differential motion vectors. IEEE Transactions on Robotics and Automation, 19(2), 296–309.
   Google Scholar
• Zhu, H., Zhang, C. and Deng, Y. (2016) Optimization design of attribute control charts for multi-station manufacturing system subjected to quality shifts. International Journal of Production Research, 54(6), 1804–1821.
   Web of Science ®Google Scholar