Mixed Integer Models for the Stationary Case of Gas Network Optimization
Martin A, Möller M, Moritz S (2006)
Publication Language: English
Publication Type: Journal article
Publication year: 2006
Journal
Book Volume: 105
Pages Range: 563 - 582
DOI: 10.1007/s10107-005-0665-5
Abstract
A gas network basically consists of a set of compressors and valves that are connected by pipes. The problem of gas network optimization deals with the question of how to optimize the flow of the gas and to use the compressors cost-efficiently such that all demands of the gas network are satisfied. This problem leads to a complex mixed integer nonlinear optimization problem. We describe techniques for a piece-wise linear approximation of the nonlinearities in this model resulting in a large mixed integer linear program. We study sub-polyhedra linking these piece wise linear approximations and show that the number of vertices is computationally tractable yielding exact separation algorithms. Suitable branching strategies complementing the separation algorithms are also presented. Our computational results demonstrate the success of this approach.
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Germany (DE)How to cite
APA:
Martin, A., Möller, M., & Moritz, S. (2006). Mixed Integer Models for the Stationary Case of Gas Network Optimization. Mathematical Programming, 105, 563 - 582. https://doi.org/10.1007/s10107-005-0665-5
MLA:
Martin, Alexander, Markus Möller, and Susanne Moritz. "Mixed Integer Models for the Stationary Case of Gas Network Optimization." Mathematical Programming 105 (2006): 563 - 582.
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