A comparative study of job allocation and migration in the pancake network

Pancake networks are an attractive class of Cayley graphs functioning as a viable interconnection scheme for large multi-processor systems. The hierarchy of the pancake graph allows the assignment of its special subgraphs, which have the same topological features as the original graph, to a sequence of incoming jobs. We investigate the hierarchical structure of the pancake network and derive a job allocation scheme for assigning processors to incoming jobs. An algorithm is presented for job migration. Finally, we compare the assignment scheme to those derived previously for the star network and address the shortcomings of the pancake network.