Optimal dimensioning of pipe networks with application to gas transmission networks

Operations Research

Volumn 44, Issue 4, 1996, Pages 596-608

  De Wolf, Daniel ^a   Smeers, Yves ^b  

^a UNIV LILLE   (France)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COST EFFECTIVENESS; NATURAL GAS PIPELINES; OPTIMAL SYSTEMS; OPTIMIZATION; PROBLEM SOLVING; WATER PIPELINES;

BUNDLE METHOD; FLUID TRANSMISSION NETWORK;

PIPELINES;

EID: 0030182230     PISSN: 0030364X     EISSN: None     Source Type: Journal    
DOI: 10.1287/opre.44.4.596     Document Type: Article

References (15)

1. BIRCH, J. R. 1985. Decomposition and Partitioning Methods for Multistage Stochastic Linear Programs. Opns. Res. 33, 5, 989-1007.
2. CLARKE, F. H. 1990. Optimization and Nonsmooth Analysis. In Classics in Applied Mathematics, 5, SIAM.
3. CONN, A. R., N. GOULD, AND PH. TOINT. 1992. Lancelot Fortran Package for Large Scale Nonlinear Optimization. Computational Mathematics series, Springer Verlag, Heidelberg.
4. DE WOLF, D., O. JANSSENS DE BISTHOVEN, AND Y. SMEERS. 1991a. The Simplex Algorithm Extended to Piecewise Linearly Constrained Problems I: The Method and an Implementation, CORE Discussion Paper 9119, Université Catholique de Louvain, Belgium.
5. DE WOLF, D., O. JANSSENS DE BISTHOVEN, AND Y. SMEERS. 1991b. The Simplex Algorithm Extended to Piecewise Linearly Constrained Problems II: Application to the Gas Transmission Problem, submitted to Opns. Res.
6. DE WOLF, D. AND Y. SMEERS. 1991. First- and Second-Order Generalized Derivatives of the Objective Function of a Linear Program with Respect to Matrix Coefficients, submitted to Math. Prog, series A.
7. DE WOLF, D. 1992. Optimisation de réseaux de transport de gaz avec considération des pertes de charges dans les gazoducs. Ph. D. Dissertation, Université Catholique de Louvain, France (in French).
8. FIACCO, A. V. 1983. Introduction to Sensitivity and Stability Analysis in Nonlinear Programming. Mathematics in Science and Engineering, 165, Academic Press, New York.
9. KIWIEL, K. C. 1991. Exact Penalty Function in Proximal Bundle Methods for Constrained Convex Nondifferentiable Minimization. Math. Programming 52, 2, 285-302.
10. LEMARECHAL, C. 1989. Nondifferentiable Optimization. In G. L. Nemhauser et al. (ed.), Handbooks in Operations Research and Management Science, Vol. 1. Elsevier Science Publishers. 529-572.
11. LEMARECHAL, C., J.-J. STRODIOT, AND A. BIHAIN. 1981. On a Bundle Algorithm for Nonsmooth Optimization. Mangasarian, Meyer and Robinson (ed.). Nonlinear Programming. Academic Press, 245-282.
12. MAUGIS, J. J. 1977. Etude de réseaux de transport et de distribution de fluide. RAIRO Opns. Res. 11, 2, 243-248 (in French).
13. OSIADACZ, A. J. 1987. Simulation and Analysis of Gas Networks. E. and F. N. Spon, London.
14. VALQUI VIDAL, R. V. 1978. Design of a Pipeline Route. Math. Prog. Study 9, 95-108.
15. SHAMIR, U. 1974. Optimal Design of Operation of Water Distribution Systems. Water Resources Research 10, 1, 27-36.