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Scheduling to Minimize Average Completion Time: Off-Line and On-Line Approximation Algorithms
1997
Mathematics of Operations Research
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Our second approach yields on-line algorithms for these problems: in this setting, we are scheduling jobs that continually arrive to be processed and, for each time t, we must construct the schedule until ...
completion times. ...
Acknowledgments We are grateful to Cor Hurkens, Cindy Phillips, Maurice Queyranne, Aravind Srinivasan, Cli Stein, and Marjan Van den Akker for helpful discussions and to the anonymous referees for their ...
doi:10.1287/moor.22.3.513
fatcat:hleo6mnrrjb7pazluani7pxdsm
Scheduling to Minimize Average Completion Time Revisited: Deterministic On-line Algorithms
2003
Social Science Research Network
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We consider the scheduling problem of minimizing the average weighted completion time on identical parallel machines when jobs are arriving over time. ...
on-line algorithms, which are (4 + ε)-competitive in either case. ...
We consider the problem of scheduling jobs arriving over time on-line on identical parallel machines to minimize the sum of weighted completion times. ...
doi:10.2139/ssrn.460981
fatcat:fs74k2hdg5b73nfary3pmp7yji
Scheduling to Minimize Average Completion Time Revisited: Deterministic On-Line Algorithms
[chapter]
2004
Lecture Notes in Computer Science
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We consider the scheduling problem of minimizing the average weighted completion time on identical parallel machines when jobs are arriving over time. ...
on-line algorithms, which are (4 + ε)-competitive in either case. ...
We consider the problem of scheduling jobs arriving over time on-line on identical parallel machines to minimize the sum of weighted completion times. ...
doi:10.1007/978-3-540-24592-6_18
fatcat:hhlegkizpfbslj6jyu5zdri23y
Off-line and on-line guaranteed start-up delay for Media-on-Demand with stream merging
2006
Journal of Discrete Algorithms
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We describe an on-line delay guaranteed algorithm that operates without knowledge of the time horizon size, and show that it performs asymptotically close to the optimal off-line algorithm. ...
We construct an efficient O(n) optimal off-line algorithm for a time horizon that is composed of n time slots, where the length of one slot is the guaranteed start-up delay. ...
We showed both analytically and empirically that the on-line algorithm performs close to the optimal off-line algorithm as the time horizon goes to infinity. ...
doi:10.1016/j.jda.2005.01.007
fatcat:lowhk6kpdjdilexegcenukczuu
Optimal Time-Critical Scheduling via Resource Augmentation
2002
Algorithmica
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When viewed from the perspective of traditional worst-case analysis, no good on-line algorithms exist for these problems, and for some variants no good off-line algorithms exist unless P = "P. ...
We study these problems using a relaxed notion of competitive analysis, introduced by Kalyanasundaram and Pruhs, in which the on-line algorithm is allowed more resources than the optimal off-line algorithm ...
off-line algorithms for the minimization of average flow time with performance guarantees of good quality for any NP-hard variant of the problem. ...
doi:10.1007/s00453-001-0068-9
fatcat:ac35hr6ezvcctaaeo5yud35x64
Scheduling jobs that arrive over time
[chapter]
1995
Lecture Notes in Computer Science
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Many of the algorithms generalize to the minimization of average weighted completion time as well. ' P ...
A natural and basic problem in scheduling theory is to provide good average quality of service to a stream of jobs that arrive over time. ...
We distinguish between off-Zine and on-line algorithms. ...
doi:10.1007/3-540-60220-8_53
fatcat:bwfb6ysqdjgunkvf7v3eaolzey
Optimal on-line flow time with resource augmentation
2006
Discrete Applied Mathematics
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Next, we give lower bounds for algorithms using resource augmentation on the speed. Finally, we consider scheduling with hard deadlines, and scheduling so as to minimize the total completion time. ...
We use extra resource competitive analysis: an optimal off-line algorithm which schedules jobs on a single machine is compared to a more powerful on-line algorithm that has machines. ...
The goal of an on-line algorithm is to minimize this ratio. Approximating the flow time is hard even in an off-line environment. ...
doi:10.1016/j.dam.2005.05.016
fatcat:fcmo6gwd5bdcvksp6biyysuioa
Optimal smoothing schedules for real-time streams
2004
Distributed computing
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., we compare the weight delivered by on-line algorithms to the weight of an optimal off-line schedule using the same resources. We prove that a natural greedy algorithm is 2-competitive. ...
We also prove a lower bound of 1:25 on the competitive ratio of any on-line algorithm. ...
., we compare on-line algorithms to optimal off-line schedules. ...
doi:10.1007/s00446-003-0101-0
fatcat:sjeyeykisnc3lgyf2zwtpxutru
Power-Aware Real-Time Scheduling upon Identical Multiprocessor Platforms
[article]
2008
arXiv
pre-print
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The second algorithm is an on-line and adaptive speed adjustment mechanism which reduces the energy consumption while the system is running. ...
We propose two distinct algorithms. Our first algorithm is an off-line speed determination mechanism which provides an identical speed for each processor. ...
Then, the algorithm searches the minimal speed by sweeping the value of k between 1 and m (line 4 to line 13). ...
arXiv:0712.2958v2
fatcat:cizc4p76vnchteqx6feoo2o4we
Distributed Real-Time Databases
[chapter]
1991
Synchronization in Real-Time Systems
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Mijn dank aan Jean Pierre Veen van de Stichting Technische Wetenschappen voor een soepele begeleiding van ons project. ...
aan ons gebruikerscommittee. In die eerste fase hebben ze bijdragen geleverd die terug te vinden zijn in dit proefschrift. ...
Classical off-line scheduling algorithms often require extensive amounts of infonnation to be available off-line. • On-line, announced. ...
doi:10.1007/978-1-4615-4000-7_4
fatcat:za4jxrd6gfalhjgwzq2r5qg5em
Robust Scheduling of Task Graphs under Execution Time Uncertainty
2013
IEEE transactions on computers
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, as the PCP schedules exhibit good stability and improved average execution time (14% on average, up to 30% versus FPS and up to 40% versus the FIFO scheduler). ...
The method has been tested on synthetic applications/platforms and compared with an off-line optimized Fixed Priority Scheduling (FPS) approach and a pure on-line FIFO scheduler; the results are very promising ...
to meet real-time constraints (if any) and optimized for low average completion time. ...
doi:10.1109/tc.2011.203
fatcat:ivdcvgwpp5cspo3u6ktdu5ryve
Minimizing Maximum (Weighted) Flow-Time on Related and Unrelated Machines
[chapter]
2013
Lecture Notes in Computer Science
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In this paper we initiate the study of job scheduling on related and unrelated machines so as to minimize the maximum flow time or the maximum weighted flow time (when each job has an associated weight ...
Our main results are: (i) We give an O(ε −3 )-competitive algorithm to minimize maximum weighted flow time on related machines where we assume that the machines of the online algorithm can process 1 + ...
So, algorithm A must be able to process all the jobs.
Off-line to on-line Now, we give an on-line algorithm for the instance I. ...
doi:10.1007/978-3-642-39206-1_2
fatcat:pygfqd25ijesrjjwaav45l7jmy
Minimizing Maximum (Weighted) Flow-Time on Related and Unrelated Machines
2015
Algorithmica
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In this paper we initiate the study of job scheduling on related and unrelated machines so as to minimize the maximum flow time or the maximum weighted flow time (when each job has an associated weight ...
Our main results are: (i) We give an O(ε −3 )-competitive algorithm to minimize maximum weighted flow time on related machines where we assume that the machines of the online algorithm can process 1 + ...
So, algorithm A must be able to process all the jobs.
Off-line to on-line Now, we give an on-line algorithm for the instance I. ...
doi:10.1007/s00453-015-0082-y
fatcat:oxjfxyqzdfejxciazfmgkyeofm
Optimal smoothing schedules for real-time streams (extended abstract)
2000
Proceedings of the nineteenth annual ACM symposium on Principles of distributed computing - PODC '00
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., we compare the weight delivered by on-line algorithms to the weight of an optimal off-line schedule using the same resources. We prove that a natural greedy algorithm is 4-competitive. ...
We consider the problem of smoothing real-time streams (such as video streams), where the goal is to reproduce a variablebandwidth stream remotely, while minimizing bandwidth cost, space overhead, and ...
., we compare on-line algorithms to optimal off-line schedules. ...
doi:10.1145/343477.343511
dblp:conf/podc/MansourPL00
fatcat:viosp57jf5efpk5ljvywu7wvwu
Online Energy-Efficient Scheduling for Timely Information Downloads in Mobile Networks
[article]
2019
arXiv
pre-print
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Thus, in this paper we devise a randomized online scheduling algorithm for mobile devices, which can move arbitrarily and run the application for any amount of time. ...
an optimal offline scheduling algorithm. ...
Figs. 3 -5 display the time-average cost for the proposed Alg. 2 and the optimal offline scheduling algorithm. ...
arXiv:1901.03137v5
fatcat:tzufbqh2pzhlth5r6lj6s3rqtm
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