| Summary: | After our researches on the effect of a non-sharing resource in a k th order which is the concept of customization manufacturing, in this article we extend the research on the closed-form solution of control-related states to the so-called A -net which has one top non-sharing circle subnet connected to the idle place of left process in a deficient k th order system and is the fundamental model of different productions sharing the same common parts in manufacturing. The formulas just are depended on the parameter k and states’ function of top non-sharing circle subnet for a subclass of nets with k sharing resources. By combining the concept of the partial deadlock avoidance/prevention policy, the moment to launch resource (controller) allocation based on the current state, and the construction of closed-form solution for deficient k th order system, it can realize the concept of dynamic non-sharing processes’ allocation.
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