Journal
MANAGEMENT SCIENCE
Volume 46, Issue 11, Pages 1454-1465Publisher
INST OPERATIONS RESEARCH MANAGEMENT SCIENCES
DOI: 10.1287/mnsc.46.11.1454.12087
Keywords
mathematics : piecewise linear programming : natural resources : energy transport; networks : applications to gas transmission network
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The problem of distributing gas through a network of pipelines is formulated as a cost minimization subject to nonlinear flow-pressure relations, material balances, and pressure bounds. The solution method is based on piecewise linear approximations of the nonlinear flow-pressure relations. The approximated problem is solved by an extension of the Simplex method. The solution method is tested on real-world data and compared with alternative solution methods.
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