caa a22 4500 445878185 CHVBK 20180317145534.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s11081-009-9094-2 doi (NATIONALLICENCE)springer-10.1007/s11081-009-9094-2 Optimal structure of gas transmission trunklines [Elektronische Daten] [Jean André, J. Bonnans] In this paper, we consider the optimal design of a straight pipeline system. Suppose a gas pipeline is to be designed to transport a specified flowrate from the entry point to the gas demand point. Physical and contractual requirements at supply and delivery nodes are known as well as the costs to buy and lay a pipeline or build a compressor station. In order to minimize the overall cost of creation of this mainline, the following design variables need to be determined: the number of compressor stations, the lengths of pipeline segments between compressor stations, the diameters of the pipeline segments, the suction and discharge pressures at each compressor station. To facilitate the calculation of the design of a pipeline, gas engineers proposed, in several handbooks, to base their cost-assessments on some optimal properties from previous experiences and usual engineering practices: the distance between compressors is constant, all diameters are equal, and all inlet (resp. outlet) pressures are equal. The goals of this paper are (1) to state on which assumptions we can consider that the optimal properties are valid and (2) to propose a rigorous proof of the optimal properties (based on nonlinear programming optimality conditions) within a more general framework than before. Springer Science+Business Media, LLC, 2009 Gas network nationallicence Pipeline system nationallicence Network design nationallicence Optimality conditions nationallicence Generalized multipliers nationallicence André Jean R&I Division, Simulation Optimisation Section, GDF SUEZ, 93211, La Plaine Saint Denis, France aut Bonnans J. INRIA-Saclay and Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128, Palaiseau, France aut Optimization and Engineering Springer US; http://www.springer-ny.com 12/1-2(2011-03-01), 175-198 1389-4420 12:1-2<175 2011 12 11081 https://doi.org/10.1007/s11081-009-9094-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11081-009-9094-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- André Jean R&I Division, Simulation Optimisation Section, GDF SUEZ, 93211, La Plaine Saint Denis, France aut NATIONALLICENCE 700 1- Bonnans J. INRIA-Saclay and Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128, Palaiseau, France aut NATIONALLICENCE 773 0- Optimization and Engineering Springer US; http://www.springer-ny.com 12/1-2(2011-03-01), 175-198 1389-4420 12:1-2<175 2011 12 11081 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer