Performance Assessment of a Serial System with Human Operators Attended by Repair Machines

Subject Areas : Reliability Engineering

Ibrahim  Yusuf ¹ (Department of Mathematical Sciences Bayero University, Kano)
Hamisu  Ayagi ² (Central South University, Changsha, China)
Wan  Zhong ³ (Central South University, Changsha, China)
Abdulkareem  Ismail ⁴ (Department of Mathematics, Kano State College of Education and Preliminary Studies)

Received: 2022-10-12 Accepted : 2023-09-08 Published : 2023-03-01

Keywords: reliability, Availability, Cost function, mean time to failure, repair machine,

Abstract :

Repair machines play a critical role in military, communication, industrial, and manufacturing settings. This study investigates the performance of a system that utilizes repair machines with human operators, employing Copula's attributes for estimation. The research focuses on a serial system composed of two subsystems, each consisting of two active components running in parallel. Both subsystems are manned by two human operators and assigned two repair machines for operation and maintenance, where the repair machines are considered failure-prone systems. The system experiences partial and complete malfunction during operation: Partial malfunction lead the system into reduced capacity mode, and a complete malfunction resulting in system failure. The research employs the technique of supplementary variable and transforms of Laplace to establish and solve the governing differential equations corresponding to schematic system's diagram. Performance models for the system such as profit, MTTF, availability, sensitivity of MTTF and reliability are numerically validated and presented through tables and graphs. These findings are highly valuable for evaluating performance, identifying ideal system designs, and developing workable maintenance plans. The research contributes to enhancing system performance, increasing production output, and improving revenue mobilization in various application domains.

References:

[1] Abubakar, M.I. and Singh, V.V. (2019) ‘Performance assessment of an industrial system (African Textile Manufactures Ltd.) through copula linguistic approach’, Operation Research and Decisions, Vol. 29, No. 4, pp.1–18.

[2] Barosz, P.; Gołda, G.; Kampa, A. Efficiency Analysis of Manufacturing Line with Industrial Robots and Human Operators. Appl. Sci. 2020, 10, 2862.

[3] B.S. Dhillon and R.B. Mishra, “Reliability evaluation of system with critical human error”, Microelectron. Reliab. 24, 743-759 (1984).

[4] B.S. Dhillon and S.N. Rrayayoti,” Reliability analysis non maintained parallel system subject to hardware failure and human error”, Microelectron. Reliab. 22, 111-122 (1985).

[5] Gao. S. (2021): Availability and reliability analysis of a retrial system with warm standbys and second optional repair service, ommunications in Statistics - Theory and Methods, DOI: 10.1080/03610926.2021.1922702

[6] Gahlot, M., Singh, V.V., Ayagi, H.I. and Goel, C.K. (2018) ‘Performance assessment of repairable system in series configuration under different types of failure and repair policies using copula linguistics’, International Journal of Reliability and Safety, Vol. 12, No. 4, pp.348–374.

[7] Goida G, Kampa A, Paprocka I (2018) Analysis of human operations and industrial robots’ performance and reliability. Manage Prod Eng Rev 9(1):24–33. https://doi.org/10.24425/119397.

[8] Gulati, J., Singh, V.V., Rawal, D.K. and Goel, C.K. (2016) ‘Performance analysis of complex system in series configuration under different failure and repair discipline using copula’, International Journal of Reliability, Quality and Safety Engineering, Vol. 23, No. 2, pp.812–832.
[9] Hiatt, L. M., Narber, C., Bekele, E., Khemlani, S. S and Trafton, J. G. (2017). Human modeling for human–robot collaboration, The International Journal of Robotics Research 36 580–596. doi: 10.1177/0278364917690592.
[10] Ismail, A.L., Abdullahi, S. and Yusuf, I. (2021), "Performance evaluation of a hybrid series–parallel system with two human operators using Gumbel–Hougaard family copula", International Journal of Quality & Reliability Management, https://doi.org/10.1108/IJQRM-05-2020-0137
[11] Ismail, A.L., Abdullahi, S. and Yusuf, I. (2021), "Performance evaluation of a hybrid series–parallel system with two human operators using Gumbel–Hougaard family copula", International Journal of Quality & Reliability Management, https://doi.org/10.1108/IJQRM-05-2020-0137.
[12] Lado, A.K., Singh, V.V., Kabiru, H.I. and Yusuf, I. (2018) ‘Performance and cost assessment of repairable complex system with twosubsystems connected in series configuration’, International Journal Reliability and Applications, Vol. 19, No. 1, pp.27–42.
[13] Lado, A., Singh, V.V. (2019), Cost assessment of complex repairable system consisting of two subsystems in the series configuration using Gumbel–Hougaard family copula, International Journal of Quality and Reliability Management, Vol. 36(10), pp. 1683–1698.
[14] Nelson, R.B. (2006) An Introduction to Copulas, 2nd ed., Springer Publisher, New York.
[15] Matheson, E., Minto, R., Zampieri, E.G.G., and Faccio, M. (2019). Rosati, G. Human-robot collaboration in manufacturing applications: A review. Robotics, 8, 100.
[16] Gupta, P.P and Sharma, R.K. “Reliability and MTSF analysis of non-repairable parallel redundant complet system under hardware and human error failures”, Microelectron. Reliab. 26, 229-234(1986).
[17] Gupta, P.P. and Sharma, R.K. “Reliability analysis of two state repairable parallel redundant system under human failure”, Microelectron. Reliab. 26, 221-224 (1986)
[18] Ram, M. and Kumar, A. (2015) ‘Performability analysis of a system under 1-out-of-2: G scheme with perfect reworking’, J. Braj. Soc. Mech. Sci. Eng., Vol. 37, No. 3, pp.1029–1038.
[19] Kumar A, Pawar D. and Malik S. C (2020), Reliability Analysis of a Redundant System with FCFS Repair Policy Subject to Weather Condition, International Journal of Advance Science and Technology, 29(03): 7568 – 7578.
[20] Lado, A., Singh, V.V. (2019), Cost assessment of complex repairable system consisting of two subsystems in the series configuration using Gumbel–Hougaard family copula, International Journal of Quality and Reliability Management, Vol. 36(10), pp. 1683–1698.
[21] Niwas, R., and Garg, H. (2018), An approach for analyzing the reliability and profit of an industrial system based on the cost-free warranty policy, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40: 265.
[22] Rajesh, Gulshan T. and Jagdish P. (2018), Reliability and Availability Analysis for a Three Unit Gas Turbine Power Generating System with Seasonal Effect and FcFs Repair Pattern, International Journal of Applied Engineering Research, ISSN 0973-4562 13 (12): 10948-10964
[23] Singh, V. V, Poonia, P. K, Rawal, D. K, (2020), Reliability analysis of repairable network system of three computer labs connected with a server under 2- out-of- 3: G configuration, Cycle Reliability, and Safety Engineering. (DOI: 10.1007/s41872-020-00129-w)
[24] Singh, V. V., Ayagi, H. I. (2017). Study of reliability measures of system consisting of two subsystems in series configuration using copula. Palest J Math, 6(1), 1-10.
[25] Temraz, N. S. Y. (2019). Availability and reliability of a parallel system under imperfect repair and replacement: analysis and cost optimization. International Journal of System Assurance Engineering and Management, 10(5), 1002-1009.
[26] Tohidi,H., Jabbari, M.M., (2012). ‘’ CRM in organizational structure design’’. Procedia Technology, 1(2012), 579-582.
https://doi.org/10.1016/j.protcy.2012.02.126
[27] Tohidi,H., Jabbari, M.M., (2012). ‘’ The necessity of using CRM ’’. Procedia Technology, 1(2012), 514-516. https://doi.org/10.1016/j.protcy.2012.02.110
[28] Tohidi, H., Jabbari, M.M., (2012). “Decision role in management to increase effectiveness of an organization”.  Procedia-social and behavioral sciences, 32: 825-828. https://doi:10.1016/j.sbspro.2011.12.149
[29] Wu, W., Tang, T., Yu, M., Jiang, Y and Liu, H. (2016): Reliability analysis of a k-out-of-n:G system with general repair times and replaceable repair equipment, Quality Technology & Quantitative Management,DOI: 10.1080/16843703.2016.1226712
[30] Yang, D. Y., Tsao, C. L. (2019). Reliability and availability analysis of standby systems with working vacations and retrial of failed components. Reliability Engineering & System Safety, 182, 46-55.
[31] Yang L, Guo Y, Wang Q (2019) Reliability assessment of a hierarchical system subjected to inconsistent priors and multilevel data. IEEE Trans Reliab 68(4):277–292
[32] Yusuf, I., Ismail, A. L., and Ali U.A. (2020), Reliability Analysis of Communication Network with Redundant Relay Station under Partial and complete Failure, Journal of Mathematics and Computer Science Vol. 10(4), pp. 863–880
[33] Yusuf, I. (2016), Reliability Modeling of a Parallel System with a Supporting Device and Two Types of Preventive Maintenance, International Journal of operational Research Vol. 25(3), pp. 269–287.
[34] Yusuf, I., Yusuf, B., Babagana, M., Sani, B., Lawan, M. A. (2018). Some reliability characteristics of a linear consecutive 2-out-of-4 system connected to 2-out-of-4 supporting device for operation. International Journal of Engineering &Technology, 7(1), 135-139.
[35] Yu, H, Yang, J, Zhao, Y. Reliability of nonrepairable phased-mission systems with common bus performance sharing. Proc IMechE, Part O: J Risk and Reliability 2018; 232(6): 647–660.
[36] Zhao B, Xie L, Li H, Zhang S, Wang B, Li C (2020) Reliability analysis of aero-engine compressor rotor system considering cruisecharacteristics. IEEE Trans Reliab 68(4):245–259.
[37] Zhang, F. (2019). Research on reliability analysis of computer network based on intelligent cloud computing method. International Journal of Computers and Applications, 41:4, 283-288.
[38] De Felice F., Petrillo A. (2018) An Overview on Human Error Analysis and Reliability Assessment. In: De Felice F., Petrillo A. (eds) Human Factors and Reliability Engineering for Safety and Security in Critical Infrastructures. Springer Series in Reliability Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-62319-1_2
[39] Chen, X., Wang, N., Cheng, H and Yang, C. (2020) Neural Learning Enhanced Variable Admittance Control for Human-Robot Collaboration, IEEE Access 8 (2020) 25727–25737. doi:10.1109/ACCESS.2020. 2969085.
[40] Ghasemi, P and Babaeinesami, A. (2020). Simulation of fire stations resources considering the downtime of machines: A case study, Journal of Industrial Engineering and Management Studies, Vol. 7, No. 1, pp. 161-176. DOI: 10.22116/JIEMS.2020.110013.