Second even though, PDMP 's have been recognized as a.Powerful modeling tool for dynamic reliability problems [,], 1 9There are very few numerical tools adapted to these processes.Our aim is to further demonstrate the high practical power of the.Theoretical methodology described in [10], by applying it to the.Tank benchmark. In [10], the authors have proposed a numerical.Algorithm to optimize PDMP 's and have studied its theoretical.Properties. This optimization procedure was first applied to an exampleofmaintenanceofametallicstructuresubjecttocorro-roller. Sion without closed, loop interactions or deterministic jumps.In addition the system, has only one continuous variable and the cost function is simple and does not depend, on time see. []. In 11 this paper we adapt, the numerical procedure proposed in [] to 10 the more challenging heated hold-up tank problem. With two, continuous variables deterministic jumps when these variables hit some given boundaries and closed loop interactions. Between continuous and discrete variables. Furthermore we consider, a cost function that depends on both continuous variables. As well as on the running time.
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