Structural Properties of Feasible Bookings in the European Entry-Exit Gas Market System

Schewe L, Schmidt M, Thürauf J (2019)

Publication Language: English

Publication Type: Journal article

Publication year: 2019

Journal

4OR-A Quarterly Journal of Operations Research Springer Verlag (Germany)

URI: http://www.optimization-online.org/DB_HTML/2018/09/6831.html

DOI: 10.1007/s10288-019-00411-3

Abstract

In this work we analyze the structural properties of the set of feasible bookings in the European entry-exit gas market system. We present formal definitions of feasible bookings and then analyze properties that are important if one wants to optimize over them. Thus, we study whether the sets of feasible nominations and bookings are bounded, convex, connected, conic, and star-shaped. The results depend on the specific model of gas flow in a network. Here, we discuss a simple linear flow model with arc capacities as well as nonlinear and mixed-integer nonlinear models of passive and active networks, respectively. It turns out that the set of feasible bookings has some unintuitive properties. For instance, we show that the set is nonconvex even though only a simple linear flow model is used.

Authors with CRIS profile

Lars Schewe Economics - Discrete Optimization - Mathematics (EDOM) Martin Schmidt Juniorprofessur für Optimierung von Energiesystemen Johannes Thürauf Naturwissenschaftliche Fakultät

Related research project(s)

Decomposition methods for mixed-integer optimal control (A05) (2018 - 2022) TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks (TRR 154) July 1, 2018 - June 30, 2022 Multilevel mixed-integer nonlinear optimization for gas markets (B08) (2018 - 2022) TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks (TRR 154) July 1, 2018 - June 30, 2022 MIP techniques for equilibrium models with integer constraints (B07) (2018 - 2022) TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks (TRR 154) July 1, 2018 - June 30, 2022 Energiemarktdesign (EMD) Energie Campus Nürnberg (EnCN2) Jan. 1, 2017 - Dec. 31, 2021

How to cite

APA:

Schewe, L., Schmidt, M., & Thürauf, J. (2019). Structural Properties of Feasible Bookings in the European Entry-Exit Gas Market System. 4OR-A Quarterly Journal of Operations Research. https://dx.doi.org/10.1007/s10288-019-00411-3

MLA:

Schewe, Lars, Martin Schmidt, and Johannes Thürauf. "Structural Properties of Feasible Bookings in the European Entry-Exit Gas Market System." 4OR-A Quarterly Journal of Operations Research (2019).

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