The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm
Daniel De Wolf
piecewise linear programming: natural resources: energy transport, networks: applications to gas transmission network [mathematics]
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 flo...