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13 - Solution Methods: Network Environments

from Part IV - Special Topics

Published online by Cambridge University Press:  01 May 2021

Christos T. Maravelias
Affiliation:
Princeton University, New Jersey
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Summary

We discuss four solution methods for problems in general network production environments. After presenting some background and motivation, in Section 13.1, we cover (1) preprocessing and tightening methods, in Section 13.2; (2) reformulations, in Section 13.3; (3) an approach to formulate models that employ multiple discrete time grids, in Section 13.4; and (4) a three-stage algorithm that employs both a discrete and continuous time models, in Section 13.5. For simplicity, we do not consider shared utilities nor special processing features such as storage in processing units and multiple material transfers. The methods presented in Section 13.2 and Section 13.3 are applicable to both discrete and continuous time models, but to keep the presentation short, we apply them to discrete time models, though we comment on their application to their continuous counterparts. The reader can study each section, after Section 13.1, independently, that is, Section 13.2 is not prerequisite for Section 13.3, and so on.

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