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An inspection model with minimal and major maintenance for a Flexible Manufacturing Cell using Generalized Stochastic Petri Nets

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 935))

Abstract

This paper provides an inspection maintenance model for a production system which is subjected to deterioration and random failures. A Markov model for preventive maintenance of such a continuously operating device whose condition deteriorates with time in service has been proposed by Sim and Endrenyi (1993). This model incorporates deterioration and so-called Poisson failures, minimal repair, periodic minimal maintenances, and major maintenance after a given number of minimal maintenance. In this study, the Sim and Endrenyi model is represented by Generalized Stochastic Petri Net (GSPN). This model then has been developed into a condition based maintenance model aimed to develop a more comprehensive model for maintenance of Automated Manufacturing Systems such as Flexible Manufacturing Systems or Cells. In this model instead of periodic maintenance, after inspection based on the condition of the system the repairman can choose one of the following three choices: 1) performing a minimal maintenance, 2) performing a major maintenance, 3) doing no maintenance action. Taking into account the performability, rather than reliability of the system, the throughput of the manufacturing system is chosen as performance measure. By solving and analyzing GSPNs model, the obtained results indicate that the system performs better under inspection policy. A number of different policies, then are examined that illustrate how performance of the system could further be improved by making better decision between minimal, major and no maintenance action, considering the condition of the system after inspection. Further numerical analyses has been carried out to investigate the effect of varying parameters such as mean duration of minimal maintenance, major maintenance and major repair.

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Abbreviations

n:

state of device

n:

0: state following a Poisson failure

n:

1: operating state

n:

2: minimal maintenance state

k:

number of stages of deterioration before deterioration failure

s:

at maintenance event s after s-1 minimalmaintenance the maintenance must be a major maintenance

P(i,j,n):

steady-state probability that the device is in state (i,j,n); i=deterioration-stage index, j=minimal maintenance number

Pd :

steady-state probability that the device is being overhauled after a deteriorating failure

PM, Pm, P0 :

steady-state probability that the device is out of service due to major maintenance,minimal maintenance, minimal repair respectively

1/λ d :

mean time between “as good as new” and deterioration failure if no maintenance is initiated

1/λ 0 :

mean time to Poisson failure

1/λ m :

mean time to the next maintenance event

1/μ d :

mean duration of overhauling the device following a deterioration failure

1/μ m :

mean duration of minimal maintenance

1/μ M :

mean duration of major maintenance

1/μ 0 :

mean duration of repair after Poisson failure

U:

steady-state unavailability of the device

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Giorgio De Michelis Michel Diaz

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© 1995 Springer-Verlag Berlin Heidelberg

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Molla-Hosseini, M., Kerr, R.M., Randall, R.B., Platfoot, R.B. (1995). An inspection model with minimal and major maintenance for a Flexible Manufacturing Cell using Generalized Stochastic Petri Nets. In: De Michelis, G., Diaz, M. (eds) Application and Theory of Petri Nets 1995. ICATPN 1995. Lecture Notes in Computer Science, vol 935. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60029-9_48

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  • DOI: https://doi.org/10.1007/3-540-60029-9_48

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60029-9

  • Online ISBN: 978-3-540-49408-9

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