Lin, Tingnan. Performability modeling and cost-benefit analysis for decision-making systems with supervising mechanisms. Retrieved from https://doi.org/doi:10.7282/t3-1jkr-ey43
DescriptionThis dissertation focuses on building performability and cost-benefit models for decision-making systems with supervising mechanisms. Particularly, two types of systems are considered: voting systems and security surveillance systems. Voting systems are used to combine the ideas from different sources and make the final decision based on these ideas under certain criteria, with wide applications in human organization and computer control. The performability of voting systems is very important because the decisions made by voting systems are usually of high importance and the failure of voting systems may be beyond expectation since voting systems are fault-tolerant with redundancy. Security surveillance systems are used to ensure and enhance the safety level, which can be found in many areas such as homes, banks, roads and airports. The performability of security surveillance systems is crucial because such systems are safety-critical and the failure may lead to loss of lives and serious damage of property. This dissertation includes two main parts: (1) modeling of voting systems with supervising mechanisms, and (2) modeling of security surveillance systems with inspection and maintenance.
In the first part, voting systems with various supervising mechanisms are modeled. First, a two-stage intervened decision-making system is proposed, which is a voting system with decision units having random decision time and a check point. Second, the system is extended in four directions: (1) two-stage weighted intervened decision-making system, (2) two-stage intervened decision-making system with interdependent decision units, (3) two-stage intervened decision-making system with individual actions, and (4) multi-stage intervened decision-making system. Third, the supervising mechanism is enhanced by considering the transitions of state for each decision unit and incorporating state dependent random inspections into the system. Finally, a system with multi-state decision units and dynamic configuration is studied. The performability and cost-benefit models for each system above are developed. The methods to optimize system performance are discussed.
In the second part, a security surveillance system with competing failure modes, degradation processes and random arrival of incidents is studied. A state dependent inspection-maintenance strategy with consideration of imperfect preventive maintenance is applied to the system. The performability and cost models are derived by partitioning the sample space of system operation path into cases and events. A modified Nelder-Mead downhill simplex method is proposed to minimize the expected long-run cost rate.
In sum, the main contribution of this dissertation is to develop performability and cost-benefit models for decision-making systems with supervising mechanisms in various applications. Numerical examples are presented to illustrate the proposed models, methods and algorithms.