Reliability Modeling and Maintenance Optimization of Manufacturing System Based on Stochastic Flow Network and Markov Process

doi:10.16183/j.cnki.jsjtu.2019.345

Abstract

Abstract:

Aimed at the uncertainty of equipment quantity and input, the defective products and its rework in the manufacturing process are investigated. Considering the influence of the number or input of the devices on system reliability, a manufacturing system reliability evaluation model is established based on stochastic flow network. The homogeneous Markov process is used to analyze the state of system degradation and maintenance. Considering the constraint of system reliability, a systematic maintenance model is proposed to minimize maintenance cost. The results of the numerical experiment demonstrate that the proposed model is effective and advanced.

Key words: manufacturing system reliability, stochastic flow network, Markov process, maintenance

CLC Number:

TH17

GAO Yingming, CHEN Zhen, ZHANG Xiufang, PAN Ershun. Reliability Modeling and Maintenance Optimization of Manufacturing System Based on Stochastic Flow Network and Markov Process[J]. Journal of Shanghai Jiao Tong University, 2021, 55(3): 229-235.

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h	g
h	g	i=1	i=2	i=3
1	1	0	0	0
	2	0	0	0
	3	0	0	0
	4	0	0	0
2	1	0.100	0.200	0.200
	2	0	0	0
	3	0	0	0
	4	0	0	0
3	1	0.050	0.150	0
	2	0.200	0.200	0.200
	3	0	0	0
	4	0	0	0
4	1	0.025	0.100	0
	2	0.100	0.150	0
	3	0.400	0.200	0.200
	4	0	0	0

维护策略	R₁/%	R₂/%	R₃/%	R/%	w_tot×10^－3/元
S₁	99.11	96.26	99.99	98.62	2.044
S₂	90.28	96.26	98.68	90.90	6.586
S₃	90.91	95.24	96.15	89.97	3.061
S₄	93.40	96.51	99.86	95.10	5.404
S₅	94.99	97.06	99.92	96.94	5.285
S₆	92.92	96.69	99.86	94.68	6.273
S₇	97.59	96.47	99.85	98.29	3.647
S₈	97.78	96.77	99.92	98.55	3.665
S₉	96.37	96.33	99.85	97.54	3.952
S₁₀	90.91	95.24	96.15	89.97	3.061
S₁₁	98.55	97.00	99.92	98.95	4.056
S₁₂	97.07	96.29	99.85	97.92	4.449