Abstract
Since all production processes are not perfect, all products produced by a company may not meet the quality standards desired by its customers. Moreover, equipment breakdowns and failures during the production cycle can delay the production process. Consequently, it is necessary to integrate statistical process monitoring and maintenance decisions in conjunction with inventory control. Additionally, to remain competitive and maintain market share, successful manufacturers should be able to offer warranty services for their products, which impose additional costs during the post-sale period of the product. The goal of this study is to minimize the total costs incurred in both the pre-sale and the post-sale periods. To that end, an integrated model of inventory control, maintenance scheduling, and statistical process monitoring is proposed for products sold under the free minimal repair warranty policy. Three comparative analyses are conducted to evaluate the impact of incorporating warranty, accounting for process failure and statistical process monitoring as part of the model.
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References
Chen CK, Lo CC, Weng TC (2016) Optimal production run length and warranty period for an imperfect production system under selling price dependent on warranty period. Eur J Oper Res 259:401–412
Duffuaa S, Kolus A, Al-Turki U, El-Khalifa A (2020) An integrated model of production scheduling, maintenance and quality for a single machine. Comput Ind Eng 142:106239
Farahani A, Tohidi H (2021) Integrated optimization of quality and maintenance: a literature review. Comput Ind Eng 151:106924
Giri BC, Dohi T (2007) Inspection scheduling for imperfect production processes under free repair warranty contract. Eur J Oper Res 183:238–252
Gunay EE, Kula U (2016) Integration of production quantity and control chart design in automotive manufacturing. Comput Ind Eng 102:374–382
Hadian SM, Farughi H, Rasay H (2021) Joint planning of maintenance, buffer stock and quality control for unreliable, imperfect manufacturing systems. Comput Ind Eng 157:107304
He Y, Liu F, Cui J, Han X, Zhao Y, Chen Z, Zhou D, Zhang A (2019) Reliability-oriented design of integrated model of preventive maintenance and quality control policy with time-between-events control chart. Comput Ind Eng 129:228–238
Huanga S, Yanga J, Xie M (2020) A double-sampling SPM scheme for simultaneously monitoring of location and scale shifts and its joint design with maintenance strategies. J Manuf Syst 54:94–102
Jafarian-Namin S, Fallahnezhad MS, Tavakkoli-Moghadam R, Salmasnia A (2021a) An integrated quality, maintenance and production model based on the delayed monitoring under the ARMA control chart. J Stat Comput Simul 91:2645–2669
Jafarian-Namin S, Fallahnezhad MS, Tavakkoli-Moghadam R, Salmasnia A (2021b) An integrated model for optimal selection of quality, maintenance, and production parameters with autocorrelated data. Sci Iran (in press)
Kim CS, Djamaludin I, Murthy DNP (2004) Warranty and discrete preventive maintenance. Reliab Eng Syst Saf 84:301–309
Liao G-L (2016) Production and maintenance strategy for a highreliability imperfect process with free-repair warranty. Int J Syst Sci Oper Logist 5:87–98
Maleki MR, Amiri A, Taheriyoun AR (2017) Phase II monitoring of binary profiles in the presence of within-profile autocorrelation based on Markov model. Commun Stat Simul Comput 46(10):7710–7732
Mehrafrooz Z, Noorossana R (2011) An integrated model based on statistical process control and maintenance. Comput Ind Eng 61:1245–1255
Pal B, Sana SS, Chaudhuri K (2013) A mathematical model on EPQ for stochastic demand in an imperfect production system. J Manuf Syst 32:260–270
Panagiotidou S, Nenes G (2009) An economically designed, integrated quality and maintenance model using an adaptive Shewhart chart. Reliab Eng Syst Saf 94:732–741
Paraschos PD, Koulinas GK, Koulouriotis DE (2020) Reinforcement learning for combined production-maintenance and quality control of a manufacturing system with deterioration failures. J Manuf Syst 56:470–483
Park M, Jung KM, Park DH (2017) Optimal maintenance strategy under renewable warranty with repair time threshold. Appl Math Model 43:498–508
Park M, Jung KM, Park DH (2018) Optimization of periodic preventive maintenance policy following the expiration of two-dimensional warranty. Reliab Eng Syst Saf 170:1–9
Salmasnia A, Baratian M (2020) Optimization of maintenance policy under warranty length-based demand with consideration of both manufacturer and buyer satisfaction. Appl Stoch Model Bus Ind 36:586–603
Salmasnia A, Abdzadeh B, Namdar M (2017) A joint design of production run length, maintenance policy and control chart with multiple assignable causes. J Manuf Syst 42:44–56
Salmasnia A, Kaveie M, Namdar M (2018a) An integrated production and maintenance planning model under VP-T2 Hotelling chart. Comput Ind Eng 118:89–103
Salmasnia A, Namdar M, Noroozi M (2018b) Robust design of a VP-NCS chart for joint monitoring mean and variability in series systems under maintenance policy. Comput Ind Eng 124:220–236
Salmasnia A, Abdzadeh B, Rahimi A (2019a) Joint optimisation of double warning T2-Hotelling chart and maintenance policy with multiple assignable causes. J Stat Comput Simul 90:465–488
Salmasnia A, Namdar M, Abdzadeh B (2019b) An integrated quality and maintenance model for two-unit series systems. Commun Stat Simul Comput 49:886–917
Salmasnia A, Hajihosseini Z, Maleki MR (2022a) An economic manufacturing quantity model with rework process for deteriorating products under maintenance-quality policy. Int J Model Simul 42(6):946–965
Salmasnia A, Emamjomeh E, Maleki MR (2022b) Integration of production planning, maintenance scheduling and noncentral chi-square chart parameters with random failures and multiple assignable causes. J Adv Manuf Syst 21(01):25–54
Sana SS (2012) Preventive maintenance and optimal buffer inventory for products sold with warranty in an imperfect production system. Int J Prod Res 23:6763–6774
Sana SS (2020) Price competition between green and non green products under corporate social responsible firm. J Retail Consum Serv 55:102118
Sana SS (2022a) Sale through dual channel retailing system—a mathematical approach. Sustain Anal Model 2:100008
Sana SS (2022b) Optimum buffer stock during preventive maintenance in an imperfect production system. Math Methods Appl Sci 45(15):8928–8939
Sana SS (2022c) A structural mathematical model on two echelon supply chain system. Ann Oper Res 315(2):1997–2025
Sarkar B, Saren S (2015) Product inspection policy for an imperfect production system with inspection errors and warranty cost. Eur J Oper Res 248:263–271
Taji J, Farughi H, Rasay H (2023) An integrated Markov chain model for the economic-statistical design of adaptive multivariate control charts and maintenance planning. Eur J Ind Eng 17(1):1–28
Wen D, Ershun P, Ying W, Wenzhu L (2016) An economic production quantity model for a deteriorating system integrated with predictive maintenance strategy. J Intell Manuf 27:1323–1333
Yin H, Zhang G, Zhu H, Deng Y, He F (2015) An integrated model of statistical process control and maintenance based on the delayed monitoring. Reliab Eng Syst Saf 133:323–333
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Ali Salmasnia: Establishing mathematical programming, Preparing Matlab software codes Soudabeh Hajihaji: Checking mathematical formulation and Matlab codes Saeid Sharafi: Revising the paper Mohammad Reza Maleki: Writing the paper, Analysing the results.
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Salmasnia, A., Hajihaji, S., Sharafi, S. et al. Integration of inventory control, maintenance policy, and quality control for selling products under warranty. Comput Manag Sci 20, 47 (2023). https://doi.org/10.1007/s10287-023-00481-z
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DOI: https://doi.org/10.1007/s10287-023-00481-z