High-speed computation of the Kleene star in max-plus algebra using a cell broadband engine
ACE'10 Proceedings of the 9th WSEAS international conference on Applications of computer engineering
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This research implements an efficient solver for scheduling problems in a class of repetitive discrete event systems using a CELL/B.E. (CELL Broadband Engine). The essence of this involves efficiently computing the transition matrix of a system whose precedence constraints regarding the execution sequence of jobs can be described by a weighted DAG (Directed Acyclic Graph). This means solving the longest path problem efficiently for all pairs of source and destination nodes. For the first step towards a high-speed computation, we utilize SIMD (Single Instruction Multiple Data) functions.