Minimizing mean flow time with release time constraint
Theoretical Computer Science
Approximating total flow time on parallel machines
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Optimal time-critical scheduling via resource augmentation (extended abstract)
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Minimizing the flow time without migration
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Flow and stretch metrics for scheduling continuous job streams
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Scheduling to minimize average stretch without migration
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Speed is as powerful as clairvoyance
Journal of the ACM (JACM)
Algorithms for minimizing weighted flow time
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Improved algorithms for stretch scheduling
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Extra processors versus future information in optimal deadline scheduling
Proceedings of the fourteenth annual ACM symposium on Parallel algorithms and architectures
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Speed is More Powerful than Claivoyance
SWAT '98 Proceedings of the 6th Scandinavian Workshop on Algorithm Theory
Minimizing total flow time and total completion time with immediate dispatching
Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures
Server scheduling in the Lp norm: a rising tide lifts all boat
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Online Scheduling to Minimize Average Stretch
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
SRPT optimally utilizes faster machines to minimize flow time
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
On minimizing the total flow time on multiple machines
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Non-migratory online deadline scheduling on multiprocessors
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Multi-processor scheduling to minimize flow time with ε resource augmentation
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
New resource augmentation analysis of the total stretch of SRPT and SJF in multiprocessor scheduling
MFCS'05 Proceedings of the 30th international conference on Mathematical Foundations of Computer Science
Minimizing Average Flow Time in Sensor Data Gathering
Algorithmic Aspects of Wireless Sensor Networks
Minimizing flow time in the wireless gathering problem
ACM Transactions on Algorithms (TALG)
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We study online scheduling of jobs to minimize the flow time and stretch on parallel machines. We consider algorithms that are given extra resources so as to compensate the lack of future information. Recent results show that a modest increase in machine speed can provide very competitive performance; in particular, using O(1) times faster machines, the algorithm SRPT (shortest remaining processing time) is 1-competitive for both flow time [23] and stretch [12], and HDF (highest density first) is O(1)-competitive for weighted flow time [6]. Using extra unit-speed machines instead of faster machines is more challenging. This paper gives a non-trivial relationship between the extra-speed and extra-machine analysis. It shows that competitive results via faster machines can be transformed to similar results via extra machines, and hence giving the first algorithms that, using O(1) times unit-speed machines, are 1-competitive for flow time and stretch and O(1)-competitive for weighted flow time, respectively.