Abstract
In the presented paper, authors focus on delay-time-based maintenance modelling issues. They present an analytical maintenance model for multi-unit systems. Implemented maintenance policy is the Block-Inspection Policy (BIP) that assumes performing inspection actions at regular time intervals of T. In the next step, the problem of data uncertainty is analysed. There is also investigated the sensitivity analysis of the proposed cost model due to probability distributions of system elements’ initial and delay times parameters change.
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References
Akbarov, A., Christer, A.H., Wang, W.: Problem identification in maintenance modeling: a case study. Int. J. Prod. Res. 46(4), 1031–1046 (2008)
Babiarz, B., Chudy-Laskowska, K.: Forecasting of failures in district heating systems. Eng. Fail. Anal. 56, 384–395 (2015)
Christer, A.H.: Modelling inspection policies for building maintenance. J. Opl. Res. Soc. 33, 723–732 (1982)
Christer, A.H.: Developments in delay time analysis for modelling plant maintenance. J. Opl. Res. Soc. 50, 1120–1137 (1999)
Christer, A.H.: A review of delay time analysis for modelling plant maintenance. In: Osaki, S. (ed.) Stochastic Models in Reliability and Maintenance. Springer (2002)
Christer, A.H., Redmond, D.F.: A recent mathematical development in maintenance theory. IMA J. Math. Appl. Bus. Ind. 2, 97–108 (1990)
Christer, A.H., Redmond, D.F.: Revising models of maintenance and inspection. Int. J. Prod. Econ. 24, 227–234 (1992)
Christer, A.H., Waller, W.M.: An operational research approach to planned maintenance: modelling P.M. for a vehicle fleet. J. Opl. Res. Soc. 35(11), 967–984 (1984)
Christer, A.H., Waller, W.M.: Reducing production downtime using delay-time analysis. J. Opl. Res. Soc. 35(6), 499–512 (1984)
Christer, A.H., Waller, W.M.: Delay time models of industrial inspection maintenance problems. J. Opl. Res. Soc. 35(5), 401–406 (1984)
Christer, A.H., Whitelaw, J.: An operational research approach to breakdown maintenance: problem recognition. J. Opl. Res. Soc. 34(11), 1041–1052 (1983)
Christer, A.H., Wang, W., Sharp, J., Baker, R.: A case study of modelling preventive maintenance of production plant using subjective data. J. Opl. Res. Soc. 49, 210–219 (1998)
Giel, R., Młyńczak, M., Plewa, M.: Logistic support model for the sorting process of selectively collected municipal waste. In: Theory and Engineering of Complex Systems and Dependability: Proceedings of the Tenth International Conference on Dependability and Complex Systems DepCoS-RELCOMEX, June 29–July 3, 2015, Brunów, Poland, pp. 369–380. Springer (2015)
Jodejko-Pietruczuk, A., Werbińska-Wojciechowska, S.: Expected maintenance costs model for time-delayed technical systems in various reliability structures. In: Proceedings of Probabilistic Safety Assessment and Management, PSAM 12: Honolulu, Hawaii, USA, 22–27 June 2014 (IAPSAM), pp. 1–8 (2014)
Jodejko-Pietruczuk, A., Werbińska-Wojciechowska, S.: Model of expected maintenance costs for multi-unit technical objects with time delay (in Polish). In: Siergiejczyk, M. (ed.) Maintenance Problems of Technical Systems, pp. 79–92. Publ. House of Warsaw University of Technology, Warsaw (2014)
Jodejko-Pietruczuk, A., Młyńczak, M., Zając, M.: Assessment of economical lifetime of heavy-duty machines: case study. In: Briš, R., Guedes Soares, C., Martorell, S. (eds.) Reliability, Risk and Safety: Theory and Applications, vol. 1, pp. 531–534. Taylor & Francis, London (2010)
Jones, B., Jenkinson, I., Wang, J.: Methodology of using delay-time analysis for a manufacturing industry. Rel. Eng. & Sys. Safety 94, 111–124 (2009)
Kierzkowski, A., Kisiel, T.: Functional readiness of the check-in desk system at an airport. Theory and Engineering of Complex Systems and Dependability: Proceedings of the Tenth International Conference on Dependability and Complex Systems DepCoS-RELCOMEX, June 29–July 3, 2015, Brunów, Poland, pp. 223–233. Springer (2015). DOI:10.1007/978-3-319-19216-1_21
Kierzkowski, A., Kisiel, T.: Functional readiness of the security control system at an airport with single-report streams. In: Theory and Engineering of Complex Systems and Dependability: Proceedings of the Tenth International Conference on Dependability and Complex Systems DepCoS-RELCOMEX, June 29–July 3, 2015, Brunów, Poland, pp. 211–221. Springer (2015). DOI:10.1007/978-3-319-19216-1_20
Lubkowski, P., Laskowski, D.: Selected issues of reliable identification of object in transport systems using video monitoring services. In: Mikulski, J. (ed.) Telematics—support for transport. Book Series: Communications in Computer and Information Science, vol. 471, pp. 59–68 (2014)
Nowakowski, T., Werbińska-Wojciechowska, S.: Developments of time dependencies modeling concepts. Advances in safety, reliability and risk management. In: Proceedings of the European Safety and Reliability Conference, ESREL 2011, Troyes, France, 18–22 September 2011, pp. 832–838. CRC Press/Balkema, Leiden (2011)
Pokoradi, L.: Sensitivity analysis of reliability of systems with complex interconnections. J. Loss Prev. Process Ind. 32, 436–442 (2014)
Restel, F.J.: Measures of reliability and safety of rail transportation system. In: Advances in Safety, Reliability and Risk Management—Proceedings of the European Safety and Reliability Conference, ESREL 2011, pp. 2714–2719 (2012)
Tang, Y., Jing, J.J., Yang, Y., Xie, C.: Parameter estimation of a delay time model of wearing parts based on objective data. Math. Probl. Eng. Article ID 419280, 1–8 (2015)
Van Noortwijk, T.M., Dekker, R., Cooke, R.M., Mazzuchi, T.A.: Expert judgement in maintenance optimization. IEEE Trans. Reliab. 41, 427–432 (1992)
Wang, W.: Subjective estimation of delay-time distribution in maintenance modelling. Eur. J. Oper. Res. 99, 511–529 (1997)
Wang, W.: Modeling planned maintenance with non-homogeneous defect arrivals and variable probability of defect identification. Ekspl Niez - Maint Reliab 2, 73–78 (2010)
Wang, W.: An inspection model based on a three-stage failure process. Reliab. Eng. Syst. Safety 96, 838–848 (2011)
Wang, W.: An overview of the recent advances in delay-time-based maintenance modelling. Reliab. Eng. Syst. Safety 106, 165–178 (2012)
Wang, W., Jia, X.: An empirical Bayesian based approach to delay time inspection model parameters estimation using both subjective and objective data. Qual. Reliab. Eng. Int. 23, 95–105 (2007)
Wang, W., Zhang, W.: Early defect identification: application of statistical process control methods. J. Qual. Mainten. Eng. 14(3), 225–236 (2008)
Wang, L., Hu, H., Wang, Y., Wu, W., He, P.: The availability model and parameters estimation method for the delay time model with imperfect maintenance at inspection. Appl. Math. Model. 35, 2855–2863 (2011)
Wen-yuan, L.V., Wang, W.: Modelling preventive maintenance of production plant given estimated PM data and actual failure times. In: Proceedings of International Conference on Management Science and Engineering ICMSE’06, Lille (2006)
Wen-yuan, L.V., Wang, W.: Modelling preventive maintenance based on the delay time concept in the context of a case study. Ekspl Niez - Maint Reliab 3, 5–11 (2011)
Zajac, M., Swieboda, J.: Process hazard analysis of the selected process in intermodal transport. In: 2015 International Conference on Military Technologies (ICMT), pp. 1–7. IEEE (2015)
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Jodejko-Pietruczuk, A., Werbińska-Wojciechowska, S. (2016). Influence of Data Uncertainty on the Optimum Inspection Period in a Multi-unit System Maintained According to the Block Inspection Policy. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) Dependability Engineering and Complex Systems. DepCoS-RELCOMEX 2016. Advances in Intelligent Systems and Computing, vol 470. Springer, Cham. https://doi.org/10.1007/978-3-319-39639-2_21
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