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中文摘要：
考虑执行任务过程中运行时间和维修时间的约束,提出一种评估k/N（G）机群任务可用度的简便建模方法。构建机群运行过程和时间模型图,分析机群与系统之间运维时间的关系;基于系统任务可用度的解析式,推导出n/N（G）机群任务可用度的解析式;选用解析与仿真相结合的方法,建立机群维修过程的随机Petri网模型,结合n/N（G）机群任务可用度的解析式给出模型参数的计算方法;利用已知参数的仿真模型可得时间约束下k/N（G）机群的任务可用度。通过算例分析揭示机群任务可用度随着运行时限、维修时限的变化趋势,以及与无时间约束下k/N（G）机群可用度的差异。
英文摘要：
Under runtime and maintenance time constraints during a mission, a simple and efficient modeling method is presented to evaluate mission-availability of k/N（G） fleet. The diagrams describing the fleet operational process and mission-time are given to analyze the relationship of runtime and maintenance time between systems and the fleet. An analytical formula for n/N（G） fleet is deduced by using the formulas of system mission-availability. By combining analytical and simulation methods, a stochastic Petri net model for maintenance process of fleets is given, and the parameters of the model is calculated by combining the analytical formula. The mission-availability of k/N（G） fleet under time constraints is obtained by the simulation model with the parameters. A numerical example is given to illustrate the trends of mission-availability of k/N（G） fleet under operational time-limit or maintenance time-limit, respectively, and the mission-availability difference between time constraints and no time constraints.
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