Vulnerability Assessment Method for Mixed-flow Manufacturing System with Time-varying Performance Parameters

For the disadvantages of the conventional vulnerability assessment methods for the mixed flow manufacturing system, by considering the real-time changes performance parameters of this type of system, a quantitative evaluation method for the vulnerability of mixed-flow manufacturing system(MMS) by using the LZ-transform is proposed. Firstly, using the discrete-time Markov principle, the instantaneous probability of each state of the manufacturing unit is obtained. According to the structural characteristics of the MMS, the LZ-transform of manufacturing unit and the series-parallel construction operator of the general generation function, the LZ-transform function of the MMS is obtained. Secondly, by following the system's vulnerability definition and LZ-transform function of MMS, the vulnerability assessment method is established by regarding the availability, expectation of average output, and instantaneous performance defect as the evaluation index. Finally, taking a simple MMS as an example, a vulnerability