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    题名: The fundamental closed-form solution of control-related states of kth order S3PR system with left-side non-sharing resource places of Petri nets
    作者: Chao, Daniel Yuh;Yu, Tsung Hsien
    趙玉
    贡献者: 資管系
    关键词: Control systems;discrete event systems;flexible manufacturing systems;Petri nets
    日期: 2015
    上传时间: 2015-12-10 16:16:38 (UTC+8)
    摘要: Due to the state explosion problem, it has been unimaginable to enumerate reachable states for Petri nets. Chao broke the barrier earlier by developing the very first closed-form solution of the number of reachable and other states for marked graphs and the kth order system. Instead of using first-met bad marking, we propose ‘the moment to launch resource allocation’ (MLR) as a partial deadlock avoidance policy for a large, real-time dynamic resource allocation system. Presently, we can use the future deadlock ratio of the current state as the indicator of MLR due to which the ratio can be obtained real-time by a closed-form formula. This paper progresses the application of an MLR concept one step further on Gen-Left kth order systems (one non-sharing resource place in any position of the left-side process), which is also the most fundamental asymmetric net structure, by the construction of the system`s closed-form solution of the control-related states (reachable, forbidden, live and deadlock states) with a formula depending on the parameters of k and the location of the non-sharing resource. Here, we kick off a new era of real-time, dynamic resource allocation decisions by constructing a generalisation formula of kth order systems (Gen-Left) with r* on the left side but at arbitrary locations.
    關聯: International Journal of Control
    数据类型: article
    DOI 連結: http://dx.doi.org/10.1080/00207179.2015.1063164
    DOI: 10.1080/00207179.2015.1063164
    显示于类别:[資訊管理學系] 期刊論文

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