Matrix Chain Scheduling Problem (Matrix Chain Multiplication)
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Description
The Matrix Chain Scheduling Problem (or MCSP) is an optimization problem� where the goal is to find the product sequence for evaluating a chain of matrix products and the processor schedule for the sequence such that the evaluation time is minimized on a parallel system.
Related Problems
Generalizations: Matrix Chain Ordering Problem
Subproblem: Approximate MCSP
Related: Approximate MCOP
Parameters
$P$: number of processors $n$: number of matrices
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Czumaj | 1993 | $O(log^{3} n)$ | $O(n^{2})$? | Exact | Parallel | Time |
References/Citation
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.54.9426&rep=rep1&type=pdf
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.56.222&rep=rep1&type=pdf