A network with variable link capacities is considered to be in a functioning state if it can transmit a maximum flow which is greater than or equal to a specified amount of flow. The links are independent and either function or fail with known probability. No flow can be transmitted through a failed link. In this paper, we consider the measures of importance of a link in such networks. We define the structural importance and reliability importance, with respect to capacity, of a link when the required amount of flow is given. We also present the performance importance with respect to capacity. Numerical examples are presented as well for illustrative purpose.