Scientia Iranica

Scientia Iranica

An economic-statistical production quantity model under quality-maintenance policy for imperfect manufacturing systems with interaction effect among assignable causes

Articles in Press

Document Type : Research Article

Authors
Ali Salmasnia 1
Behnam Abdzadeh 1
Mohammad Reza Maleki 2
1 Department of Industrial Engineering, Faculty of Engineering, University of Qom, Iran
2 Industrial Engineering Group, Golpayegan College of Engineering, Isfahan University of Technology, Golpayegan, 87717-67498, Iran
10.24200/sci.2022.58548.5783
Abstract
This study integrates production and maintenance planning with statistical process monitoring in the presence of dependent multiple assignable causes. To adapt the model to the reality, two assumptions are considered: (1) the assignable causes (ACs) are dependent, and (2) the occurrence of ACs can affect both process mean and variability. Given the second assumption, a non-central chi-square (NCS) chart is used to monitor the process. Since the occurrence rate of ACs increases over time, a non-uniform sampling scheme is presented to reduce the out-of-control time period. A sensitivity analysis is presented to explore how the number of AC types influences the cost terms. The results indicate that the more AC types, the higher quality loss and maintenance costs are imposed on the manufacturer. Moreover, three comparative studies are conducted for confirming the effectiveness of the model. The first comparative study shows that the total cost will be less than its real value when the interdependency among the ACs is ignored. The second comparison shows that the NCS chart outperforms the in detecting the process disturbances and leads to a less quality loss cost. Eventually, the last one represents that employing the non-uniform sampling strategy leads to a significant cost savings.
Keywords
Production planning
Maintenance planning
Non-central chi-square chart
Correlated assignable causes
Non-uniform sampling strategy

  1. References

    1. Taft, E. "The most economical production lot", Iron Age, 101(18), pp. 1410-1412 (1918).
    2. Salmasnia, A., Rahimi, A., and Abdzadeh, B. "An integration of NSGA-II and DEA for economic–statistical design of T2-Hotelling control chart with double warning lines", Neural Computing and Applications, 31(2), pp. 1173-1194 (2019).
    3. Salmasnia, A., Namdar, M., and Noroozi, M. "Robust design of a VP-NCS chart for joint monitoring mean and variability in series systems under maintenance policy", Computers & Industrial Engineering, 124, pp. 220-236 (2018).
    4. Rahim, M., and Ohta, H. "An integrated economic model for inventory and quality control problems", Engineering Optimization, 37(1), pp. 65-81 (2005).
    5. Pan, E., Jin, Y., and Wang, Y. "Integration of economic production quantity in optimization design of control chart based on loss function and random process shift", Journal of Manufacturing Technology Management, 22(7), pp. 929-946 (2011).
    6. Gunay, E,. and Kula, U. "Integration of production quantity and control chart design in automotive manufacturing", Computers & Industrial Engineering, 102, pp. 374-382 (2016).
    7. Emami-Mehrgani, B., Neumann, W. P., Nadeau, S., and Bazrafshan, M. "Considering human error in optimizing production and corrective and preventive maintenance policies for manufacturing systems", Applied mathematical modelling, 40(3), pp. 2056-2074 (2016).
    8. Zahedi-Hosseini, F., Scarf, P., and Syntetos, A. "Joint maintenance-inventory optimisation of parallel production systems", Journal of Manufacturing Systems, 48, pp. 73-86 (2018).
    9. Si, G., Xia, T., Zhu, Y, Du, S., and Xi, L. "Triple-level opportunistic maintenance policy for leasehold service network of multi-location production lines", Reliability Engineering & System Safety, 190, pp. 106519 (2019).
    10. Liu, X., Wang, W., and Peng, R. "An integrated preventive maintenance and production planning model with sequence‐dependent setup costs and times", Quality and Reliability Engineering International, 33(8), pp. 2451-2461 (2017).
    11. Mehrafrooz, Z., and Noorossana, R. "An integrated model based on statistical process control and maintenance", Computers & Industrial Engineering, 61(4), pp. 1245-1255 (2011).
    12. Liu, L., Yu, M., Ma, Y., and Tu, Y. "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), pp. 491-499 (2013).
    13. Xiang, Y. "Joint optimization of X control chart and preventive maintenance policies: a discrete-time Markov chain approach", European Journal of Operational Research, 229(2), pp. 382-390 (2013).
    14. Atashgar, K., and Abdollahzadeh, H.A. "Joint reliability and imperfect opportunistic maintenance optimization for a multi‐state weighted k‐out‐of‐n system considering economic dependence and periodic inspection", Quality and Reliability Engineering International, 33(8), pp. 1685-1707 (2017).
    15. Salmasnia, A., Namdar, M., and Abdzadeh, B. "An integrated quality and maintenance model for two-unit series systems", Communications in Statistics-Simulation and Computation, 49(4), pp. 886-917 (2019).
    16. Salmasnia, A., Abdzadeh, B., and Rahimi, A. "Joint optimisation of double warning T 2-Hotelling chart and maintenance policy with multiple assignable causes", Journal of Statistical Computation and Simulation, 90(3), pp. 465-488 (2020).
    17. Ben-Daya, M., and Makhdoum, M. "Integrated production and quality model under various preventive maintenance policies", Journal of the operational Research Society, 49 (8), pp. 840-853 (1998).
    18. Ben-Daya, M. "Integrated production maintenance and quality model for imperfect processes" IIE Transactions, 31(6), 491-501 (1999).
    19. Lam, K., and Rahim, M. "Joint Determination of Economic Design of X-Control Charts, Economic Production Quantity, and Production Run Length for a Deteriorating Production System", Frontiers in Statistical Quality Control, 7, 7, 58 (2004).
    20. Jafarian-Namin, S., Fallahnezhad, M.S., Tavakkoli-Moghaddam, R., Salmasnia, A., and Fatemi Ghomi, S.M.T. "An integrated quality, maintenance and production model based on the delayed monitoring under the ARMA control chart", Journal of Statistical Computation and Simulation, 10.1080/00949655.2021.1904241, (2021).
    21. Salmasnia, A., Abdzadeh, B., and Namdar, M.A. "joint design of production run length, maintenance policy and control chart with multiple assignable causes", Journal of Manufacturing Systems, 42, pp. 44-56 (2017).
    22. Salmasnia, A., Kaveie, M., and Namdar, M. "An integrated production and maintenance planning model under VP-T2 Hotelling chart", Computers & Industrial Engineering, 118, pp. 89-103 (2018).
    23. Salmasnia, A., Soltani, F., Heydari, E., and Googoonani, S. "An integrated model for joint determination of production run length, adaptive control chart parameters and maintenance policy", Journal of Industrial and Production Engineering, 36(6), pp. 401-417 (2019).
    24. Banerjee, P.K., and Rahim, M. "Economic design of–control charts under weibull shock models", Technometrics, 30(4), pp. 407-414 (1988).
    25. Rahim, M. "Joint determination of production quantity, inspection schedule, and control chart design", IIE transactions, 26(6), pp. 2-11 (1994).
    26. Chen, Y.S., and Yang, Y.M. "Economic design of x-control charts with Weibull in-control times when there are multiple assignable causes", International Journal of Production Economics, 77 (1), pp. 17-23 (2002).
    27. Moghadam, M.B., Khadem, Y., Fani, S., and Pasha, M.A. "Effects of non-normality on economic and economic statistical designs of-control charts with multiple assignable causes and Weibull in-control times", Communications in Statistics-Simulation and Computation, 47(7), pp. 2055-2069 (2018).
    28. Salmasnia, A., Hajihosseini, Z., Namdar, M., and Mamashli, M. "A joint determination of production cycle length, maintenance policy, and control chart parameters considering time value of money under stochastic shift size", Scientia Iranica, 27(1), pp. 427-447 (2018).
    29. Duncan, A.J. "The economic design of-charts when there is a multiplicity of assignable causes", Journal of the American Statistical Association, 66(333), pp. 107-121 (1971).
    30. Yu, F.J, and Hou, J. "Optimization of design parameters for control charts with multiple assignable causes", Journal of Applied Statistics, 33(3), pp. 279-290 (2006).
    31. Asadzadeh, S., and Khoshalhan, F. "Multiple-objective design of an control chart with multiple assignable causes, The International Journal of Advanced Manufacturing Technology, 43 (3-4), pp. 312 (2009).
    32. Nenes, G., Tasias, K.A., and Celano, G.A. "General model for the economic-statistical design of adaptive control charts for processes subject to multiple assignable causes", International Journal of Production Research, 53(7), pp. 2146-2164 (2015).
    33. Tasias, K.A., and Nenes, G. "Economic− statistical design of Vp control schemes for joint monitoring of mean and variance in the presence of multiple assignable causes", Quality Technology & Quantitative Management, 15(4), pp. 484-506 (2018).
    34. Saniga, E.M. "Economic statistical control-chart designs with an application to and R charts", Technometrics, 31(3), pp. 313-320 (1989).
    35. Costa, A.F. "Joint economic design of X and R control charts for processes subject to two independent assignable causes", IIE transactions, 25(6), pp. 27-33 (1993).
    36. Rahim, M., and Costa, A.F. "Joint economic design of X and R charts under Weibull shock models", International Journal of Production Research, 38(13), pp. 2871-2889 (2000).
    37. Ohta, H., Kimura, A., and Rahim, A. "An economic model for and R charts with time‐varying parameters. Quality and Reliability Engineering International, 18(2), pp. 131-139 (2002).
    38. Costa, A., and Rahim, M. "Monitoring process mean and variability with one non-central chi-square chart", Journal of Applied Statistics, 31(10), pp. 1171-1183 (2004).
    39. Costa, A.F.B., and Rahim, M. "The non-central chi-square chart with two-stage samplings", European journal of operational research, 171(1), pp. 64-73 (2006).
    40. Costa, A.F., and De Magalhaes, M.S. "An adaptive chart for monitoring the process mean and variance", Quality and Reliability Engineering International, 23(7), pp. 821-831 (2007).
    41. Tsai, T.R., Chiang, J.Y., and Chang, S.I. "Economic design of two-stage non-central chi-square charts for dependent variables", Computers & Industrial Engineering, 61(4), pp. 970-980 (2011).
    42. Jafarian-Namin, S., Nezhad, F., Tavakkoli-Moghaddam, R., Salmasnia, A., and Abooie, M.H. "An integrated model for optimal selection of quality, maintenance, and production parameters with autocorrelated data", doi: 10.24200/SCI.2021.56484.4745
    43. Salmasnia, A., Emamjomeh, E., and Maleki, M.R. "Integration of production planning, maintenance scheduling and non-central chi-square chart parameters with random failures and multiple assignable causes", Journal of Advanced Manufacturing Systems. doi: 10.1142/S0219686721500414, (2022).
    44. Matin, H.N., Salmasi, N., and Shahvari, O. "Makespan minimization in flowshop batch processing problem with different batch compositions on machines", International Journal of Production Economics, 193, pp. 832-844 (2017).
    45. Bisgaard, S., Hunter, W.G., and Pallesen, L. "Economic selection of quality manufactured product", Technometrics, 26(1), pp. 9-18 (1984).
Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 13 February 2022

  • Receive Date 18 June 2021
  • Revise Date 02 September 2021
  • Accept Date 08 February 2022