On-line scheduling of jobs with fixed start and end times
Theoretical Computer Science - Special issue on dynamic and on-line algorithms
Online scheduling with hard deadlines
Journal of Algorithms
Speed is as powerful as clairvoyance
Journal of the ACM (JACM)
Patience is a virtue: the effect of slack on competitiveness for admission control
Journal of Scheduling - Special issue: On-line algorithm part I
Scheduling broadcasts with deadlines
Theoretical Computer Science - Special papers from: COCOON 2003
On-line scheduling on a single machine: maximizing the number of early jobs
Operations Research Letters
A near optimal scheduler for on-demand data broadcasts
Theoretical Computer Science
An Optimal Strategy for Online Non-uniform Length Order Scheduling
AAIM '08 Proceedings of the 4th international conference on Algorithmic Aspects in Information and Management
A note on on-line broadcast scheduling with deadlines
Information Processing Letters
On Job Scheduling with Preemption Penalties
AAIM '09 Proceedings of the 5th International Conference on Algorithmic Aspects in Information and Management
Online deadline scheduling with preemption penalties
Computers and Industrial Engineering
Improved on-line broadcast scheduling with deadlines
COCOON'06 Proceedings of the 12th annual international conference on Computing and Combinatorics
Online interval scheduling: randomized and multiprocessor cases
COCOON'07 Proceedings of the 13th annual international conference on Computing and Combinatorics
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We study the effect of laxity, or slack time, on the online scheduling of broadcasts with deadlines. The laxity of a request is defined to be the ratio between its span (difference between release time and deadline) and its processing time. All requests have a minimum guaranteed laxity. We give different algorithms and lower bounds on the competitive ratio for different ranges of values of laxity, which not only represents a tradeoff between the laxity and the competitive ratio of the system, but also bridges between interval scheduling and job scheduling techniques and results. We also give an improved algorithm for general instances in the case when requests can have different processing times.