We show that the problem of scheduling chains of unit execution time (UET) jobs on uniform processors with communication delays to minimize makespan is NP-hard in the strong sense. We also give a heuristic that generates solutions with known, and relatively small, absolute error for this problem. Th
The Complexity of Scheduling Trees with Communication Delays
โ Scribed by Jan Karel Lenstra; Marinus Veldhorst; Bart Veltman
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 190 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0196-6774
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โฆ Synopsis
We consider the problem of finding a minimum-length schedule on m machines for a set of n unit-length tasks with a forest of intrees as precedence relation, and with unit interprocessor communication delays. First, we prove that this problem is NP-complete; second, we derive a linear time algorithm for the special case that m equals 2.
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