期刊名称:CORE Discussion Papers / Center for Operations Research and Econometrics (UCL), Louvain
出版年度:2009
卷号:1
出版社:Center for Operations Research and Econometrics (UCL), Louvain
摘要:Problems dealing with the design and the operations of gas transmission networks are
challenging. The difficulty mainly arises from the simultaneous modeling of gas
transmission laws and of the investment costs. The combination of the two yields a non-
linear non-convex optimization problem. To obviate this shortcoming, we propose a new
formulation as a multi-objective problem, with two objectives. The first one is the
investment cost function or a suitable approximation of it; the second is the cost of energy
that is required to transmit the gas. This energy cost is approximated by the total energy
dissipated into the network. This bi-criterion problem turns out to be convex and easily
solvable by convex optimization solvers. Our continuous optimization formulation can be
used as an efficient continuous relaxation for problems with non-divisible restrictions such
as a limited number of available commercial pipe dimensions.