Reconfigurable optical add/drop multiplexers (ROADMs) can be classified into three categories according to their underlying switching technologies: Category I consists of a single large optical switch; category II is composed of a number of small optical switches aligned in parallel; and category III has a single optical switch and only one wavelength being added/dropped. The ROADM wavelength occupancy probability is not same when implemented in dynamic optical networks. In this paper, to evaluate the wavelength-routing capability of ROADMs of category I in dynamic optical networks, we design Bernoulli, Poisson and Pascal models for smooth , regular and peak types of traffic. Through Analytical and Simulation results, we have determined the routing power of cat-I of ROADM networks for all traffic models.