Minimizing mean flow time with release time constraint
Theoretical Computer Science
Approximability and nonapproximability results for minimizing total flow time on a single machine
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Approximation algorithms for scheduling
Approximation algorithms for NP-hard problems
Approximating total flow time on parallel machines
STOC '97 Proceedings of the twenty-ninth 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
Scheduling to minimize average completion time: off-line and on-line algorithms
Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms
Approximation techniques for average completion time scheduling
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Algorithms for minimizing weighted flow time
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Optimal On-Line Algorithms for Single-Machine Scheduling
Proceedings of the 5th International IPCO Conference on Integer Programming and Combinatorial Optimization
Scheduling Jobs that Arrive Over Time (Extended Abstract)
WADS '95 Proceedings of the 4th International Workshop on Algorithms and Data Structures
Improved Scheduling Algorithms for Minsum Criteria
ICALP '96 Proceedings of the 23rd International Colloquium on Automata, Languages and Programming
Approximation Schemes for Minimizing Average Weighted Completion Time with Release Dates
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
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
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Minimizing average flow time on related machines
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
New resource augmentation analysis of the total stretch of SRPT and SJF in multiprocessor scheduling
Theoretical Computer Science
Competitive online scheduling for server systems
ACM SIGMETRICS Performance Evaluation Review
Approximating total flow time on parallel machines
Journal of Computer and System Sciences
ACM Transactions on Algorithms (TALG)
Competitive non-migratory scheduling for flow time and energy
Proceedings of the twentieth annual symposium on Parallelism in algorithms and architectures
SRPT optimally utilizes faster machines to minimize flow time
ACM Transactions on Algorithms (TALG)
Online scheduling to minimize the maximum delay factor
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Weighted flow time does not admit O(1)-competitive algorithms
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Improved results for scheduling batched parallel jobs by using a generalized analysis framework
Journal of Parallel and Distributed Computing
Provably efficient two-level adaptive scheduling
JSSPP'06 Proceedings of the 12th international conference on Job scheduling strategies for parallel processing
Sleep management on multiple machines for energy and flow time
ICALP'11 Proceedings of the 38th international colloquim conference on Automata, languages and programming - Volume Part I
Resource augmentation for weighted flow-time explained by dual fitting
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete Algorithms
Better algorithms for minimizing average flow-time on related machines
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part I
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
Greedy multiprocessor server scheduling
Operations Research Letters
Cloud scheduling with setup cost
Proceedings of the twenty-fifth annual ACM symposium on Parallelism in algorithms and architectures
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We consider the problem of scheduling jobs arriving over time in a multiprocessor setting, with immediate dispatching, disallowing job migration. The goal is to minimize both the total flow time (total time in the system) and the total completion time.Previous studies have shown that while preemption (interrupt a job and later continue its execution) is inherent to make a scheduling algorithm efficient, migration (continue the execution on a different machine) is not. Still, the current non-migratory online algorithms suffer from a need for a central queue of unassigned jobs which is a "no option" in large computing system, such as the Web.We introduce a simple online non-migratory algorithm IMD, which employs immediate dispatching, i.e., it immediately assigns released jobs to one of the machines. We show that the performance of this algorithm is within a logarithmic factor of the optimal migratory offline algorithm, with respect to the total flow time, and within a small constant factor of the optimal migratory offline algorithm, with respect to the total completion time. This solves an open problem suggested by Awerbuch et al [STOC99].