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Performability studies of automated manufacturing systems with multiple part types

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3 Author(s)
Viswanadham, N. ; Dept. of Comput. Sci. & Autom., Indian Inst. of Sci., Bangalore, India ; Pattipati, K.R. ; Gopalakrishna, V.

We consider the transient performance analysis of failure-prone manufacturing systems producing multiple part types. We decompose the exact monolithic model into: 1) a slower time scale structure state process modeling the failure and repair, and 2) a faster time scale performance model describing the part processing and the material movement. We combine the solution of these two models to show that the accumulated reward over a given time interval is a solution of a set of forward or adjoint multidimensional linear hyperbolic partial differential equations. This result generalizes the existing results on composite performance-dependability analysis of manufacturing systems. We also present efficient numerical methods for computing the distribution of the cumulative operational time, and the mean and variance of the cumulative production over a given time interval. Further, we bring out the significance of these results in the manufacturing systems context through several examples

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Robotics and Automation, IEEE Transactions on  (Volume:11 ,  Issue: 5 )