A new distributed global queueing strategy and medium access protocol that users employ to schedule their transmissions to avoid receiver collisions is introduced for an optical fiber network. The network uses wavelength division multiplexing (WDM) for the data channels. The medium access control utilizes TDMA on the control channel to allow users to implement a global reservation scheme to send data packets. The data channels operate under a distributed demand assignment scheme that allows receiver collision-free operation and efficient scheduling. An analytical solution is obtained via equilibrium point analysis (EPA). It was shown that the maximum throughput obtained is approximately 42% which exceeds the maximum throughput of ALOHA based medium access protocols. The delay is shown to be relatively constant for a wide range of operation.