Random Capacity Analysis Instances

This data includes two types of randomly generated instances for stochastic capacity analysis. RandInst5x5 includes 100 instances of a system with five resources and five activities. The proportional activity requirement, mean and variance of activity durations is constant. The uncertainty threshold and time availability is changed for each instance. RandInst360 contains 360 randomly generated instances of a system for stochastic capacity analysis. The number of activities (|A|) is between 5 and 30 (with increments of 5). The number of resources (|R|) is also between 5 and 30 (with increments of 5). The uncertainty threshold (alpha) varies between 0.05 and 0.5, with increments of 0.05. For each combination of |A|, |R| and alpha, the time availability of each resource, the proportional activity requirement, and expectation and variance of activity durations are randomly generated. Instance: The instance number. |A|: The number of activities. |R|: The number of resources. alpha: The uncertainty threshold. T: The total time availability of each resource. rho: The minimum proportion of all activities that should be made up of a particular activity. mu: The mean activity duration for activity of type a on resource r. sigma2: The variance of activity durations for an activity of type a on resource r.本数据集包含两类面向随机容量分析的随机生成实例。 RandInst5x5 包含100个对应5种资源与5项活动的系统的实例，其比例化活动需求、活动时长的均值与方差均为定值，各实例的不确定性阈值（uncertainty threshold）与资源可用时长均存在差异。 RandInst360 包含360个面向随机容量分析的系统随机生成实例。其中活动数量（|A|）取值区间为5至30，步长为5；资源数量（|R|）同样取值于5至30区间，步长为5；不确定性阈值α的取值范围为0.05至0.5，步长为0.05。针对|A|、|R|与α的每一种组合，各资源的总可用时长、比例化活动需求，以及特定资源r上类型a活动的时长期望与方差均为随机生成。 各参数定义如下： Instance：实例编号。 |A|：活动总数量。 |R|：资源总数量。 α：不确定性阈值。 T：单资源总可用时长。 ρ：特定活动须占全体活动的最小占比。 μ：资源r上类型a活动的平均时长。 σ²：资源r上类型a活动的时长方差。