On-Line Scheduling of Parallel Jobs with Runtime Restrictions
Consider the execution of a parallel application that dynamically generates parallel jobs with specified resource requirements during its execution. Generally, there is not sufficient knowledge about the running times and the number of jobs generated in order to precompute a schedule for such applications. Rather, the scheduling decisions have to be made on-line during runtime based on incomplete information. We present several on-line scheduling algorithms for a variety of interconnection topologies that use some a priori information about the job running times or guarantee a good competitive ratio that depends on the runtime ratio of all generated jobs. All algorithms presented have optimal competitive ratio up to small additive constants, and are easy to implement. 1 Introduction The efficient operation of parallel computing systems requires the best possible use of the resources that a system provides. In order to achieve an effective utilization of a parallel machine ..