Algorithm for Calculating the Reliability of Chemical-Engineering Systems Using the Logical-and-Probabilistic Method in MATLAB

  • Anastasiya ZakharovaEmail author
  • Tatiana Savitskaya
  • Alexander Egorov
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 259)


An algorithm for calculating the reliability using the logical-and-probabilistic method was developed in the MATLAB software package. An algorithm is applicable for inclusion in the module of a cyber-physical system for design and optimization of the chemical-engineering systems reliability. The accuracy of the algorithm was checked for systems of varying complexity with number of elements from 5 to 10. An example of program calculations is also presented. Using the developed algorithm, the reliability of the hydrotreating unit of a catalytic reforming unit under uncertainty was calculated.


Reliability of technical-engineering systems Standard software package Probability of no-failure operation The logical and probabilistic method Chemical-engineering system 


  1. 1.
    Feeney, A.B., Srinivasan, V., Frechette, S.: Cyber-physical systems engineering for manufacturing. In: Industrial Internet of Things: Cyber Manufacturing Systems, pp. 81–110 (2017)Google Scholar
  2. 2.
    Monostori, L., Kádár, B., Bauernhansl, T., Kondoh, S.: Cyber-physical systems in manufacturing. CIRP Annals Manuf. Technol. 65(2), 621–641 (2016)CrossRefGoogle Scholar
  3. 3.
    Okoh, P., Haugen, S.: Improving the robustness and resilience properties of maintenance. Process Saf. Environ. Prot. 94, 212–226 (2015)CrossRefGoogle Scholar
  4. 4.
    Woo, S.W.: The reliability design of mechanical system and its parametric accelerated life testing. In: Handbook of Materials Failure Analysis with Case Studies from the Chemicals, Concrete and Power Industries, pp. 259–276 (2016)CrossRefGoogle Scholar
  5. 5.
    Birolini, A.: Reliability Engineering: Theory and Practice, 7th edn, p. 626. Springer, Berlin (2014)CrossRefGoogle Scholar
  6. 6.
    Myers, A.: Complex System Reliability: Multichannel Systems with Imperfect Fault Coverage, 2nd edn, p. 238. Springer, London (2010)CrossRefGoogle Scholar
  7. 7.
    Gang, W., Wang, S., Augenbroe, G., Xiao, F.: Robust optimal design of district cooling systems and the impacts of uncertainty and reliability. Energy Buildings 122, 11–22 (2016)CrossRefGoogle Scholar
  8. 8.
    Lin, Y., Li, D., Kang, R.: Reliability modelling and simulation of complex systems. In: Chemical Engineering Transactions, pp. 469–474 (2013)Google Scholar
  9. 9.
    Mellal, M.A., Zio, E.: A penalty guided stochastic fractal search approach for system reliability optimization. Reliab. Eng. Syst. Saf. 152, 213–227 (2016)CrossRefGoogle Scholar
  10. 10.
    Abubakar, U., Sriramula, S., Renton, N.C.: Reliability of complex chemical engineering processes. Comput. Chem. Eng. 74(4), 1–14 (2015)CrossRefGoogle Scholar
  11. 11.
    Martowicz, A., Uhl, T.: Reliability- and performance-based robust design optimization of MEMS structures considering technological uncertainties. Mech. Syst. Signal Process. 32, 44–58 (2012)CrossRefGoogle Scholar
  12. 12.
    Guilani, P.P., Sharifi, M., Niaki, S.T.A., Zaretalab, A.: Reliability evaluation of non-reparable three-state systems using Markov model and its comparison with the UGF and the recursive methods. Reliab. Eng. Syst. Saf. 129, 29–35 (2014)Google Scholar
  13. 13.
    Malygin, E.: Automated Remote Access Laboratory “Design and Exploitation of Technological Systems”. In Malygin, E.N., Krasnyansky, M.N., Karpushkin, S.V., Mokrozub, V.G. (eds.) Vestnic TGTU, vol. 6(2). Tambov, pp. 332–335 (2000)Google Scholar
  14. 14.
    Krasnyansky, M.N., Malygin, E.N., Karpushkin, S.V., Chaukin, Y.V., Ostroukh, A.V.: Application of virtual simulators for training students of the chemical technology type and improvement of professional skills of chemical enterprises personnel. Vestnic TGTU, vol. 13(1B), Tambov, pp. 233–238 (2007)Google Scholar
  15. 15.
    An, Y.: Reliable Design and Operations of Infrastructure Systems. (2019). Accessed 20 Feb 2019
  16. 16.
    Shubin, V., Ryumin, Yu.: The Reliability of the Equipment of Chemical and Oil-Refining Industries. Moscow, Himiya, KolosS Publ., p. 359 (2006) (in Russian)Google Scholar
  17. 17.
    Shvetsova-Shilovskaya, T., Kondrat’ev, V., Gorskii, V., Egorov, A., Polekhina, O., Gromova, T., Gamzina, T., Afanas’eva, A., Savitskaya, T., Nazarenko, D., Ivanov, D., Vikent’eva, M.: The Methodology and the Software for Assessment of Reliability and Operational Safety of Chemical Process Equipment: Monograph. Moscow, RHTU im. D. I. Mendeleeva Publ., p. 372 (2016) (in Russian)Google Scholar
  18. 18.
    Strogonov, A., Zhadnov, V., Polesskii, S.: Overview of program complexes by calculation of reliability of complex technical systems. Compon. Technol. 5, 183 (2007) (in Russian)Google Scholar
  19. 19.
    Egorov, A., Savitskaya, T., Nikitin, S.: The information system of reliability analysis of equipment and chemical technological systems using web technologies. Prikladnaya Informatika—J. Appl. Inf. 11(4, 64), 30–41 (2016) (in Russian)Google Scholar
  20. 20.
    Meshalkin, V., Moshev, E.: Program complex for life cycle support of pipeline systems of petrochemical companies. Applied Informatics—J. Appl. Inf. 11(4, 64), 57–75 (2016) (in Russian)Google Scholar
  21. 21.
    Zakharova, A., Savitskaya, T.: Computational Functions Development for Research of Mathematical Models of Chemical-Technological Systems Redundancy: Advances in Chemistry and Chemical Technology, vol XXXII(11, 207). Moscow, RHTU D. I. Mendeleeva Publ., pp. 66–68 (2018) (in Russian)Google Scholar
  22. 22.
    Ryabinin, I.: Reliability and Security of Complex Systems, p. 248. Polytehnika, SPb (2000) (in Russian)Google Scholar
  23. 23.
    Mozhaev, A., Gromov, V.: Theoretical Foundations of the General Logical-Probabilistic Method of Automated System Modeling, p. 143. VITU, SPb (2000) (in Russian)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Anastasiya Zakharova
    • 1
    Email author
  • Tatiana Savitskaya
    • 1
  • Alexander Egorov
    • 1
  1. 1.D. Mendeleev University of Chemical Technology of RussiaMoscowRussia

Personalised recommendations