An interconnection network＇s diagnosability is an important metric for measuring its self-diagnostic capability. Permanent fault and intermittent fault are two different fault models that exist in an interconnection ...An interconnection network＇s diagnosability is an important metric for measuring its self-diagnostic capability. Permanent fault and intermittent fault are two different fault models that exist in an interconnection network. In this paper, we focus on the problem pertaining to the diagnosability of interconnection networks in an intermittent fault situation. First, we study a class of interconnection networks called crisp three-cycle networks, in which the Chin-number （the number of common vertices each pair of vertices share） is no more than one. Necessary and sufficient conditions are derived for the diagnosability of crisp three-cycle networks under the PMC （Preparata, Metze, and Chien） model. A simple check can show that many well-known intereonnection networks are crisp three-cycle networks. Second, we prove that an intereonnection network S is a ti-fault diagnosable system without repair if and only if its minimum in-degree is greater than ti under the BGM （Barsi, Grandoni, and Masetrini） model. Finally, we extend the necessary and sufficient conditions to determine whether an interconnection network S is ti-fault diagnosable without repair under the MM （Maeng and Malek） model from the permanent fault situation to the intermittent fault situation.展开更多
Conditionally t-diagnosable and t-diagnosable are important in system level diagnosis. Therefore,it is valuable to identify whether the system is conditionally t-diagnosable or t-diagnosable and derive the correspondi...Conditionally t-diagnosable and t-diagnosable are important in system level diagnosis. Therefore,it is valuable to identify whether the system is conditionally t-diagnosable or t-diagnosable and derive the corresponding conditional diagnosability and diagnosability. In the paper,distinguishable measures of pairs of distinct faulty sets with a new perspective on establishing functions are focused.Applying distinguishable function and decision function,it is determined whether a system is conditionally t-diagnosable( or t-diagnosable) or not under the PMC( Preparata,Metze,and Chien)model directly. Based on the decision function,a novel conditional diagnosability algorithm under the PMC model is introduced which can calculate conditional diagnosability rapidly.展开更多
文摘An interconnection network＇s diagnosability is an important metric for measuring its self-diagnostic capability. Permanent fault and intermittent fault are two different fault models that exist in an interconnection network. In this paper, we focus on the problem pertaining to the diagnosability of interconnection networks in an intermittent fault situation. First, we study a class of interconnection networks called crisp three-cycle networks, in which the Chin-number （the number of common vertices each pair of vertices share） is no more than one. Necessary and sufficient conditions are derived for the diagnosability of crisp three-cycle networks under the PMC （Preparata, Metze, and Chien） model. A simple check can show that many well-known intereonnection networks are crisp three-cycle networks. Second, we prove that an intereonnection network S is a ti-fault diagnosable system without repair if and only if its minimum in-degree is greater than ti under the BGM （Barsi, Grandoni, and Masetrini） model. Finally, we extend the necessary and sufficient conditions to determine whether an interconnection network S is ti-fault diagnosable without repair under the MM （Maeng and Malek） model from the permanent fault situation to the intermittent fault situation.
基金Supported by the National Natural Science Foundation of China(No.61562046)Science and Technology Project of Jiangxi Provincial Education Department(No.GJJ150777,GJJ160742)
文摘Conditionally t-diagnosable and t-diagnosable are important in system level diagnosis. Therefore,it is valuable to identify whether the system is conditionally t-diagnosable or t-diagnosable and derive the corresponding conditional diagnosability and diagnosability. In the paper,distinguishable measures of pairs of distinct faulty sets with a new perspective on establishing functions are focused.Applying distinguishable function and decision function,it is determined whether a system is conditionally t-diagnosable( or t-diagnosable) or not under the PMC( Preparata,Metze,and Chien)model directly. Based on the decision function,a novel conditional diagnosability algorithm under the PMC model is introduced which can calculate conditional diagnosability rapidly.
