**Reference**:- Erik D. Demaine, Jayson Lynch, Geronimo J. Mirano, and Nirvan Tyagi, “Energy-Efficient Algorithms”, in
*Proceedings of the 7th Annual ACM Conference on Innovations in Theoretical Computer Science (ITCS 2016)*, Cambridge, Massachusetts, January 14–16, 2016, pages 321–332. **Abstract**:-
We initiate the systematic study of the
*energy complexity*of algorithms (in addition to time and space complexity) based on Landauer's Principle in physics, which gives a lower bound on the amount of energy a system must dissipate if it destroys information. We propose energy-aware variations of three standard models of computation: circuit RAM, word RAM, and transdichotomous RAM. On top of these models, we build familiar high-level primitives such as control logic, memory allocation, and garbage collection with zero energy complexity and only constant-factor overheads in space and time complexity, enabling simple expression of energy-efficient algorithms. We analyze several classic algorithms in our models and develop low-energy variations: comparison sort, insertion sort, counting sort, breadth-first search, Bellman-Ford, Floyd-Warshall, matrix all-pairs shortest paths, AVL trees, binary heaps, and dynamic arrays. We explore the time/space/energy trade-off and develop several general techniques for analyzing algorithms and reducing their energy complexity. These results lay a theoretical foundation for a new field of semi-reversible computing and provide a new framework for the investigation of algorithms. **Availability**:- The paper is available in PDF (334k).
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**Related papers**:- EnergyCompiler_RC2016 (Toward an Energy Efficient Language and Compiler for (Partially) Reversible Algorithms)

See also other papers by Erik Demaine.

Last updated August 19, 2022 by Erik Demaine.