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Solving the general project scheduling problem with multiple constrained resources by mathematical programming

  • Integer Programming, Networks
  • Conference paper
  • First Online:
Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 7))

Abstract

The problem of the time-optimal allocation of multiple-constrained resources among dependent operations is considered for the case when operation models are given in the form of differential equations relating operation performance speed to amounts of resources allotted. An approach is presented which permits the problem to be reduced to a mathematical programming one and enables a proper insight to be obtained into the properties of optimal solutions.

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References

  1. Bubnicki, Z.: Optimal control of a complex of operations with random parameters, Podstawy Sterowania 1 /1971/,3–10.

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  2. Burkov, V.N.: Optimal control of a complex of operations,/Russian/IV Congress of IFAC, Technical Session 35, Warsaw, 1969, 46–57.

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  3. Słowiński, R.: Optimal Control of Multiple-Resource Allocation in a Complex of Operations, /Polish/ unpublished doctoral dissertation, Technical University of Poznan, 1977.

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  4. Węglarz, J., Słowiński, R.: Computational aspects of a certain class of time-optimal resource allocation problems in a complex of operations, Foundations of Control Engineering 1 /1976/, 123–133.

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  6. Węglarz, J.: Time-optimal control of resource allocation in a complex of operations framework, IEEE Trans. Systems, Man and Cybernet., SMC-6, 11/1976/,783–788.

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Authors and Affiliations

  1. Institute of Control Engineering, Technical University of Poznań, 60-965, Poznań, Poland

    Roman Słowiński & Jan Węglarz

Authors
  1. Roman Słowiński
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  2. Jan Węglarz
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Editor information

J. Stoer

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© 1978 Springer-Verlag

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Słowiński, R., Węglarz, J. (1978). Solving the general project scheduling problem with multiple constrained resources by mathematical programming. In: Stoer, J. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006533

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  • DOI: https://doi.org/10.1007/BFb0006533

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08708-3

  • Online ISBN: 978-3-540-35890-9

  • eBook Packages: Springer Book Archive

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