Abstract
This paper presents a specialized code for solving the linear and nonlinear multicommodity network flow problem with linear side constraints using primal partitioning techniques. The computational performance of the program developed is reported and compared with that of another specialized code for the same problem —based on price-directive decomposition— and also compared to the performance of a general purpose nonlinear optimization package. Test problems of many sizes corresponding to real cases of nonlinear multicommodity network flows have been employed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ali, A., R.V. Helgason, J.L. Kennington & H. Lall. 1980. Computational comparison among three multicommodity network flow algorithms. Operations Research, v. 28, pp. 995–1000
Bradley, G.H.; G.G. Brown & G.W. Graves. 1977. Design and implementation of large scale primal transshipment algorithms. Management Science, Vol.24, N.1, pp. 1–34.
Dembo, R.S. and T. Steihaug. 1983. Truncated-Newton algorithms for large-scale unconstrained optimization. Mathematical Programming, v.26, pp. 190–212.
Hellerman, E and D. Rarick. 1971. Reinversion with the preassigned pivot procedure. Mathematical Programming, v. 1, pp. 195–216.
Kennington, J.L. and R.V. Helgason. 1980. Algorithms for network programming. John Wiley & sons.
Murtagh, B.A. and M.A. Saunders. 1978. Large-scale linearly constrained optimization. Mathematical Programming, v. 14, pp. 41–72.
Murtagh, B.A. and M.A. Saunders. 1983. MINOS 5.0. User's guide. Dpt. of Operations Research, Standford University, CA 9430, USA.
Nabona, N. 1993. Multicommodity network flow model for long-term hydro-generation optimization. IEEE Trans. on Power Systems, v. 8, num. 2, pp. 395–404.
Nabona, N. and J.M. Verdejo. 1992. Numerical implementation of nonlinear multicommodity network flows with linear side constraints through price-directive decomposition, in P. Kall (Ed.) System Modelling and Optimization, Proceedings of the 15th IFIP Conference, Zurich. Springer-Verlag. pp. 311–320.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1994 Springer-Verlag
About this paper
Cite this paper
Castro, J., Nabona, N. (1994). Nonlinear multicommodity network flows through primal partitioning and comparison with alternative methods. In: Henry, J., Yvon, JP. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035537
Download citation
DOI: https://doi.org/10.1007/BFb0035537
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19893-2
Online ISBN: 978-3-540-39337-5
eBook Packages: Springer Book Archive