A unified approach to approximation algorithms for bottleneck problems
Journal of the ACM (JACM)
Probabilistic construction of deterministic algorithms: approximating packing integer programs
Journal of Computer and System Sciences - 27th IEEE Conference on Foundations of Computer Science October 27-29, 1986
Approximation algorithms for scheduling unrelated parallel machines
Mathematical Programming: Series A and B
An approximation algorithm for the generalized assignment problem
Mathematical Programming: Series A and B
Randomized algorithms
Approximation algorithms for scheduling
Approximation algorithms for NP-hard problems
Coordination complexity of parallel price-directive decomposition
Mathematics of Operations Research
Improved approximation schemes for scheduling unrelated parallel machines
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Exact and Approximate Algorithms for Scheduling Nonidentical Processors
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
Approximation Schemes for Covering and Scheduling on Related Machines
APPROX '98 Proceedings of the International Workshop on Approximation Algorithms for Combinatorial Optimization
How asymmetry helps load balancing
Journal of the ACM (JACM)
Approximation Schemes for Minimizing Average Weighted Completion Time with Release Dates
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Sequential and Parallel Algorithms for Mixed Packing and Covering
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Metaheuristics in combinatorial optimization: Overview and conceptual comparison
ACM Computing Surveys (CSUR)
On the approximate tradeoff for bicriteria batching and parallel machine scheduling problems
Theoretical Computer Science
Handbook of Scheduling: Algorithms, Models, and Performance Analysis
Handbook of Scheduling: Algorithms, Models, and Performance Analysis
Optimal semi-online preemptive algorithms for machine covering on two uniform machines
Theoretical Computer Science
A polynomial-time approximation scheme for maximizing the minimum machine completion time
Operations Research Letters
Maximizing the minimum load for selfish agents
Theoretical Computer Science
A truthful constant approximation for maximizing the minimum load on related machines
WINE'10 Proceedings of the 6th international conference on Internet and network economics
RETRAiN: a REcommendation tool for reconfiguration of retail bank branch
ICSOC'12 Proceedings of the 10th international conference on Service-Oriented Computing
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We examine the problem of assigning n independent jobs to m unrelated parallel machines, so that each job is processed without interruption on one of the machines, and at any time, every machine processes at most one job. We focus on the case where m is a fixed constant, and present a new rounding approach that yields approximation schemes for multi-objective minimum makespan scheduling with a fixed number of linear cost constraints. The same approach gives approximation schemes for covering problems like maximizing the minimum load on any machine, and for assigning specific or equal loads to the machines.