Solving power-constrained gas transportation problems using an MIP-based alternating direction method

Björn Geißler, Antonio Morsi, Lars Schewe*, Martin Schmidt

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We present a solution algorithm for problems from steady-state gas transport optimization. Due to nonlinear and nonconvex physics and engineering models as well as discrete controllability of active network devices, these problems lead to difficult nonconvex mixed-integer nonlinear optimization models. The proposed method is based on mixed-integer linear techniques using piecewise linear relaxations of the nonlinearities and a tailored alternating direction method. Most other publications in the field of gas transport optimization only consider pressure and flow as main physical quantities. In this work, we additionally incorporate heat power supplies and demands as well as a mixing model for different gas qualities. We demonstrate the capabilities of our method on Germany's largest transport networks and hereby present numerical results on the largest instances that were ever reported in the literature for this problem class.

Original languageEnglish
Pages (from-to)303-317
Number of pages15
JournalComputers and Chemical Engineering
Early online date22 Jul 2015
Publication statusPublished - 1 Nov 2015


  • Alternating direction methods
  • Gas transport networks
  • Heat power supply and demand
  • Nonconvex mixed-integer nonlinear optimization
  • Piecewise linear relaxations


Dive into the research topics of 'Solving power-constrained gas transportation problems using an MIP-based alternating direction method'. Together they form a unique fingerprint.

Cite this