CONVEXITY AND STARSHAPEDNESS OF FEASIBLE SETS IN STATIONARY FLOW NETWORKS

Gugat M, Schultz R, Schuster M (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Networks and Heterogeneous Media American Institute of Mathematical Sciences (AIMS)

Book Volume: 15

Pages Range: 171-195

Journal Issue: 2

DOI: 10.3934/nhm.2020008

Abstract

In this paper, we consider a stationary model for the flow through a network. The flow is determined by the values at the boundary nodes of the network. We call these values the loads of the network. In the applications, the feasible loads must satisfy some box constraints. We analyze the structure of the set of feasible loads. Our analysis is motivated by gas pipeline flows, where the box constraints are pressure bounds.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Angewandte Mathematik Michael Schuster Lehrstuhl für Angewandte Mathematik

Involved external institutions

Universität Duisburg-Essen (UDE) DE Germany (DE)

How to cite

APA:

Gugat, M., Schultz, R., & Schuster, M. (2020). CONVEXITY AND STARSHAPEDNESS OF FEASIBLE SETS IN STATIONARY FLOW NETWORKS. Networks and Heterogeneous Media, 15(2), 171-195. https://dx.doi.org/10.3934/nhm.2020008

MLA:

Gugat, Martin, Ruediger Schultz, and Michael Schuster. "CONVEXITY AND STARSHAPEDNESS OF FEASIBLE SETS IN STATIONARY FLOW NETWORKS." Networks and Heterogeneous Media 15.2 (2020): 171-195.

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