On-line Admission Control and Circuit Routing for High Performance Computing and Communication (extended Abstract)

In this paper, we consider the problems of admission control and virtual circuit routing in high performance computing and communication systems. The admission control and virtual circuit routing problems arise in numerous applications including, video-servers, real-time database servers, and the provision of permanent virtual channels in large-scale communications networks. The paper describes both upper and lower bounds on the competitive ratio of algorithms for admission control and virtual circuit routing in trees, arrays, and hypercubes (the networks most commonly used in conjunction with high performance computing and communication). Our results include the rst optimal algorithms for admission control and virtual circuit routing in trees, as well as the rst competitive algorithms for these problems on non-tree networks. A key result of our research is the development of on-line algorithms that substantially outperform the greedy-based approaches that are used in practice and that where prevalent in the previous literature in this area.