Using dual approximation algorithms for scheduling problems theoretical and practical results
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Algorithmic problems in power management
ACM SIGACT News
Speed scaling to manage energy and temperature
Journal of the ACM (JACM)
Approximation algorithm for the temperature-aware scheduling problem
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
A scaling algorithm for weighted matching on general graphs
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
Algorithms for Temperature-Aware Task Scheduling in Microprocessor Systems
AAIM '08 Proceedings of the 4th international conference on Algorithmic Aspects in Information and Management
Dynamic Thermal Management through Task Scheduling
ISPASS '08 Proceedings of the ISPASS 2008 - IEEE International Symposium on Performance Analysis of Systems and software
Communications of the ACM
Performance-aware thermal management via task scheduling
ACM Transactions on Architecture and Code Optimization (TACO)
Speed scaling to manage temperature
TAPAS'11 Proceedings of the First international ICST conference on Theory and practice of algorithms in (computer) systems
Online algorithms for maximizing weighted throughput of unit jobs with temperature constraints
FAW-AAIM'11 Proceedings of the 5th joint international frontiers in algorithmics, and 7th international conference on Algorithmic aspects in information and management
Temperature aware online algorithms for scheduling equal length jobs
FAW-AAIM'11 Proceedings of the 5th joint international frontiers in algorithmics, and 7th international conference on Algorithmic aspects in information and management
Temperature aware online scheduling with a low cooling factor
TAMC'10 Proceedings of the 7th annual conference on Theory and Applications of Models of Computation
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We study temperature-aware scheduling problems under the model introduced in [Chrobak et al. AAIM 2008], where unit-length jobs of given heat contributions and common release dates are to be scheduled on a set of parallel identical processors. We consider three optimization criteria: makespan, maximum temperature and (weighted) average temperature. On the positive side, we present polynomial time approximation algorithms for the minimization of the makespan and the maximum temperature, as well as, optimal polynomial time algorithms for minimizing the average temperature and the weighted average temperature. On the negative side, we prove that there is no approximation algorithm of absolute ratio $$\frac{4}{3}-\epsilon $$ for the problem of minimizing the makespan for any $$\epsilon 0$$, unless $$\mathcal{P}=\mathcal{NP}$$.