Structural properties of feasible bookings in the European entry–exit gas market system

Lars Schewe (), Martin Schmidt () and Johannes Thürauf ()
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Lars Schewe: University of Edinburgh
Martin Schmidt: Trier University
Johannes Thürauf: Friedrich-Alexander-Universität Erlangen-Nürnberg, Discrete Optimization

4OR, 2020, vol. 18, issue 2, No 4, 197-218

Abstract: 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.

Keywords: Gas networks; Bookings; Entry–exit system; Convexity; Flow models; 90-XX; 90B10; 90C90; 90C35 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10288-019-00411-3

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