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2016 | OriginalPaper | Chapter

Optimally Solving MCM Related Problems Using Integer Linear Programming

Author : Martin Kumm

Published in: Multiple Constant Multiplication Optimizations for Field Programmable Gate Arrays

Publisher: Springer Fachmedien Wiesbaden

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In this chapter, optimal methods are considered to solve the PMCM problem as well as the MCM problem with adder depth constraints (the MCMMAD and MCMBAD as defined in Section 2.4). For that we formulate the problems using integer linear programming (ILP). Of course, optimal results can only be achieved for relatively small problems, so there will be still a need for good heuristics like the RPAG algorithm presented in the last chapter.

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previous chapter The Reduced Pipelined Adder Graph Algorithm
next chapter A Heuristic for the Constant Matrix Multiplication Problem
Metadata
Title
Optimally Solving MCM Related Problems Using Integer Linear Programming
Author
Martin Kumm
Copyright Year
2016
Book
Multiple Constant Multiplication Optimizations for Field Programmable Gate Arrays

Print ISBN: 978-3-658-13322-1

Electronic ISBN: 978-3-658-13323-8

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-658-13323-8_5