Abstract
In this paper we discuss the parallel implementation of the auction algorithm for shortest path problems. We show that both the one-sided and the two-sided versions of the algorithm admit asynchronous implementations. We implemented the parallel schemes for the algorithm on a shared memory machine and tested its efficiency under various degrees of synchronization and for different types of problems. We discuss the efficiency of the parallel implementation of the many origins-one destination problem, the all origins-one destination problem, and the many origins-many destinations problem.
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