By M. Gasteier, S. Liao, X. Song on the crossing distribution problem, J.-Y. Jou on two-level logic minimization for low power, F. Vahid on procedure cloning, Q. Wang, G. Yeap on power reduction and power delay trade-offs, others M. Glesner
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Extra resources for ACM Transactions on Design Automation of Electronic Systems (January)
Through simultaneous binding we obtain operation delay ACM Transactions on Design Automation of Electronic Systems, Vol. 10, No. 1, January 2005. A Scheduling Algorithm for Optimization and Early Planning • 51 Table IV. Number of Operations Performed on the Optimized Block Versus Total Number of Operations of Matching Type Benchmark (DFG) adpcm DFG1 DFG2 convolve DFG1 DFG2 DFG3 fft DFG1 DFG2 getblk DFG1 DFG2 jdmerge DFG1 DFG3 ewf arf fir CPLEX Our algorithm 1/1 1/1 1/1 1/1 4/6 2/3 5/6 3/6 2/3 5/6 6/9 5/6 6/9 6/6 3/4 4/4 3/4 3/4 5/8 4/5 3/8 10/16 7/11 5/8 3/5 3/8 8/16 7/11 information based on the particular resource executing the operation.
The following definitions will provide the background and the necessary terminology for understanding our method to perform the scheduling. Definition 1. On the two-dimensional plane, point P dominates point Q iff x(P ) > x(Q) AND y(P ) > y(Q). Definition 2. A set of k points (P1 , P2 , . . , Pk ) in the x- y plane, where Pi dominates Pi−1 is called a k-chain. Definition 3. Given a set of points in the x- y plane, among all chains of length k that exist within this set, the k-chain with the maximum total of weights is called the maximum weighted k-chain.
The input to the local problem, that is, scheduling of a path, is a chain of operations. Consider the example DFG shown in Figure 2(a). Figure 2(b) illustrates a chain extracted from this DFG. We visualize the problem of scheduling the operations along this chain as a bipartite matching between operations and control steps. A bipartite graph depicting this formulation for the chain in our example is shown in Figure 3(a). This bipartite graph consists of nodes corresponding to operations and control steps.