Title
Validation of nominations in gas network optimization: models, methods, and solutions
Abstract
In this article, we investigate methods to solve a fundamental task in gas transportation, namely the validation of nomination problem: given a gas transmission network consisting of passive pipelines and active, controllable elements and given an amount of gas at every entry and exit point of the network, find operational settings for all active elements such that there exists a network state meeting all physical, technical, and legal constraints. We describe a two-stage approach to solve the resulting complex and numerically difficult nonconvex mixedinteger nonlinear feasibility problem. The first phase consists of four distinct algorithms applying mixedinteger linear, mixedinteger nonlinear, nonlinear, and methods for complementarity constraints to compute possible settings for the discrete decisions. The second phase employs a precise continuous nonlinear programming model of the gas network. Using this setup, we are able to compute high-quality solutions to real-world industrial instances that are significantly larger than networks that have appeared in the mathematical programming literature before.
Year
DOI
Venue
2015
10.1080/10556788.2014.888426
Optimization Methods and Software
Keywords
Field
DocType
gas network optimization,gas transport optimization,mixed-integer nonlinear programming,nomination
Complementarity (molecular biology),Pipeline transport,Mathematical optimization,Transmission network,Nonlinear system,Existential quantification,Nonlinear programming,Mathematics
Journal
Volume
Issue
ISSN
30
1
1055-6788
Citations 
PageRank 
References 
20
1.52
27
Authors
21