Scheduling multiprocessor tasks with chain constraints

Article Abstract:

The problem of scheduling dependent and nonpreemptable tasks subject to chain-like precedence constraints was investigated. Specifically, it was shown that the problem of minimizing the scheduling length or makespan for tasks with unit processing times and arbitrary processor requirements is NP-hard even for three processors. However, it may be solved in low-order polynomial time O(N log N) time if the processor requirements of tasks within a chain are either monotonically increasing/decreasing or uniform.

Multiprocessing

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A note on "Hierarchical Models for Multi-Project Planning and Scheduling."(Scheduling in Computer and Manufacturing Systems)

Article Abstract:

The branch-and-bound algorithm developed by M.G. Speranza and C. Vercellis for generating makespan minimal solutions to multi-mode resource-constrained project scheduling problems is revisited. Specifically, it is shown that the algorithm does not always derive optimal solutions because it sometimes does not take into account 'all the optimal tight schedules.' The algorithm employs maximal extensions of partial schedules to obtain tight schedules.

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A multiple-tree search procedure for the resource-constrained project scheduling problem

Article Abstract:

A parallel algorithm for solving the combinatorial problem of scheduling projects under conditions of limited resource availability is introduced. The procedure exploits multiple parallel processors and solutions trees to search for a minimum duration schedule. Although it may be applied to problems with varying resource availability, it results in faster solution times for problems characterized by constant resource availability.

Usage, Tree structures (Computers), Tree structures (Data structures)

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