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An \(O(n \log n)\) feasibility algorithm for preemptive scheduling of n independent jobs on a hypercube. (English) Zbl 0704.68052
Summary: We present a new feasibility algorithm to decide if n independent jobs can be finished by a given deadline T on an m-dimensional hypercube system. It takes \(O(n \log n)\) time and generates a schedule with at most \(n-2\) preemptions. A previous known algorithm takes \(O(n^ 2)\) time and produces a schedule with up to \({1/2} n(n-1)\) preemptions.

MSC:
68Q25 Analysis of algorithms and problem complexity
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
68M01 General theory of computer systems
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References:
[1] Chen, G.I.; Lai, T.H., Preemptive scheduling of independent jobs on a hypercube, Inform. process. lett., 28, 201-206, (1988) · Zbl 0658.68041
[2] Horowitz, E.; Sahni, S., Fundamentals of data structures, (1976), Computer Science Press Potomac, MD · Zbl 0408.68003
[3] Sahni, S., Preemptive scheduling with due dates, Oper. res., 27, 5, 925-934, (1979) · Zbl 0424.90031
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