On-line routing of virtual circuits with applications to load balancing and machine scheduling
Journal of the ACM (JACM)
A guessing game and randomized online algorithms
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
On-line Load Balancing for Related Machines
WADS '97 Proceedings of the 5th International Workshop on Algorithms and Data Structures
RANDOM-APPROX '99 Proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems: Randomization, Approximation, and Combinatorial Algorithms and Techniques
Semi-online scheduling with machine cost
Journal of Computer Science and Technology
Better Online Algorithms for Scheduling with Machine Cost
SIAM Journal on Computing
Preemptive online algorithms for scheduling with machine cost
Acta Informatica
Online scheduling with machine cost and rejection
Discrete Applied Mathematics
New upper and lower bounds for online scheduling with machine cost
Discrete Optimization
The generalization of scheduling with machine cost
Theoretical Computer Science
Information Sciences: an International Journal
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For most scheduling problems the set of machines is fixed initially and remains unchanged for the duration of the problem. Recently online scheduling problems have been investigated with the modification that initially the algorithm possesses no machines, but that at any point additional machines may be purchased. In all of these models the assumption has been made that each machine has unit cost. In this paper we consider the problem with general machine cost functions. Furthermore we also consider a more general version of the problem where the available machines have speed, the algorithm may purchase machines with speed 1 and machines with speed s. We define and analyze some algorithms for the solution of these problems and their special cases. Moreover we prove some lower bounds on the possible competitive ratios.