Continuous Delivery Message Dissemination Problems under the Multicasting Communication Mode

We consider the Continuously Delivery Message Dissemination (CDMD) problem over the n processor single-port complete (all links are present and are bi-directional) static network with the multicasting communication primitive. This problem has been shown to be NP-complete even when all messages have equal length. For the CDMD problem we present an efficient approximation algorithm to construct a message routing schedule with total communication time at most 3.5d, where d is the total length of the messages that each processor needs to send or receive. The algorithm takes O(qn) time, where n is the number of processors and q is the total number of messages that the processors receive.