Coflows

Furthermore, we give an O(#92;logn#47;#92;log#92;logn)-approximation polynomial time algorithm for scheduling circuit-based coflows where flow paths are not given (here n is the number of network edges). We note that our task-based coflow scheduling problem is equivalent to the fully-flexible order scheduling problem on unrelated parallel machines for which no O(1)-factor approximation algorithm was known prior to this work. We obtain our results by developing a general framework for coflow schedules, based on interval-indexed linear programs, which may extend to other coflow models and objective functions and may also yield improved approximation bounds for specific network scenarios..