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NETSPEAK: An Algebraic Modelling Language for Nonconvex Network Optimization Problems

  • Conference paper
Network Optimization

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 450))

Abstract

NETSPEAK is an algebraic modelling language used to specify, solve, and analyze nonconvex (or linear) minimum cost network flow problems. A wide variety of network and network-related topologies can be modelled using NETSPEAK including pure networks, networks with side constraints and/or side variables, and generalized networks. Problems involving price based decomposition and integer valued variables can also be modelled using NETSPEAK. The language, which features flexible input/output, robust program control, and intuitive commands, is being developed as a WindowsTM application.

This work was supported, in part, by research grants from the Energy Modelling Research Group and the University Research Fund, Grant No. 2201963, University of Canterbury, Christchurch, New Zealand.

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References

  1. Ahuja R., Magnanti T., Orlin J.: Network flows: Theory, algorithms, and appli cations. Prentice Hall, Englewood Cliffs, NJ (1993)

    Google Scholar 

  2. Bertsekas D.P.: Linear network optimization. MIT Press, Cambridge, MA (1991)

    Google Scholar 

  3. Bertsekas D.P., Tseng P.: The relax codes for linear minimum cost network flow problems. Annals of Operations Research 13 (1988) 125–190

    Article  Google Scholar 

  4. Bisschop J., Entriken R.: AIMMS: The modeling system. Paragon Decision Technology, Haarlem, The Netherlands (1993)

    Google Scholar 

  5. Bradley G., Brown G., Graves G.: Design and implementation of large scale primal transshipment algorithms. Management Science 21 (1977) 1–38

    Article  Google Scholar 

  6. Brooke A., Kendrick D., Meeraus A.: GAMS: A user’s guide, release 2.25. The Scientific Press, San Francisco, CA (1992)

    Google Scholar 

  7. CPLEX Optimization, Inc.: Using the CPLEX callable library. CPLEX Optimization, Inc., Incline Village, NV (1994)

    Google Scholar 

  8. Dean N., Mevenkamp M., Monma C.L.: NETPAD: An interactive graphics system for network modeling and optimization. Operations Research Letters 17 (1995) 89–101

    Article  Google Scholar 

  9. Evans J.R., Minieka E.: Optimization algorithms for networks and graphs. Marcel Dekker, New York, NY (1992)

    Google Scholar 

  10. Ford Jr., L.R. Fulkerson, D.R.: Flows in networks. Princeton University Press, Princeton, NJ (1962)

    Google Scholar 

  11. Forster M., Mevert P.: A tool for network modeling. European Journal of Operational Research 72 (1994) 287–299

    Article  Google Scholar 

  12. Fourer R., Gay D.M., Kernighan B.W.: AMPL: A modeling language for mathematical programming. The Scientific Press, San Francisco, CA (1993)

    Google Scholar 

  13. Glover F., Klingman D., Phillips N.: Netform modeling and applications. Interfaces 20 (1990) 7–27

    Article  Google Scholar 

  14. lover F., Klingman D., Phillips N.V.: Network models in optimization and their applications in practice. Wiley and Sons, New York, NY (1992)

    Google Scholar 

  15. Grigoriadis M.D., Hsu Y.: The Rutgers minimum cost network flow subroutines. SIGMAP Bulletin of the ACM 26 (1979) 17–18

    Google Scholar 

  16. Guisewite G.M.: Network models, in Horst R., Pardalos P.M. (eds.) Handbook of Global Optimization. Kluwer Academic, Dordrecht, The Netherlands, (1995) 609–648

    Google Scholar 

  17. Guisewite G.M., Pardalos P.M.: Minimum concave-cost network flow problems: Applications, complexity, and algorithms. Annals of Operations Research 25 (1990) 75–100

    Article  Google Scholar 

  18. International Business Machines, Inc.: Optimization subroutine library: Guide and reference. International Business Machines, Inc., Kingston NY (1991)

    Google Scholar 

  19. Jarvis J.P., Shier D.R.: NETSOLVE: Interactive software for network optimization. Operations Research Letters 9 (1990) 275–282

    Article  Google Scholar 

  20. Jenson P.A., Barnes J.W.: Network flow programming. Wiley and Sons, New York, NY (1980)

    Google Scholar 

  21. Kennington J.L., Helgason R.V.: Algorithms for network programming. Wiley and Sons, New York, NY (1980)

    Google Scholar 

  22. Lamar B.W.: An improved branch and bound algorithm for minimum concave cost network flow problems. Journal of Global Optimization 3 (1993) 309–330

    Article  Google Scholar 

  23. Lamar B.W., Wallace C.A.: NETSPEAK: A mathematical programming language for nonconvex network optimisation problems. Operational Research Society of New Zealand, Proceedings 31 (1995) 141–148

    Google Scholar 

  24. Mandl C.: Applied network optimization. Academic Press, London, England (1979)

    Google Scholar 

  25. Murty K.: Network programming. Prentice Hall, Englewood Cliffs, NJ (1992)

    Google Scholar 

  26. Moré J.J., Wright S.J.: Optimization software guide. SIAM Frontiers in Applied Mathematics Series 14 SIAM, Philadelphia, PA (1993)

    Google Scholar 

  27. Phillips D.T., Garcia-Diaz A.: Fundamentals of network analysis. Prentice Hall, Englewood Cliffs, NJ (1981)

    Google Scholar 

  28. Sharda R.: Linear and discrete optimization and modeling software: A resource handbook. Lionheart, Uxbridge, England (1993)

    Google Scholar 

  29. Steiger D., Sharda R., LeClaire B.: Graphical interfaces for network modelling: A model management system perspective. ORSA Journal on Computing 5 (1993) 275–291

    Article  Google Scholar 

  30. Watcom International Corporation: Watcom C/C++programmer’s guide. Wat-com International Corporation, Waterloo, Ontario, Canada (1994)

    Google Scholar 

  31. Zenios S.A.: Integrating network optimization capabilities into a high-level modeling language. ACM Transactions on Mathematical Software 16 (1990) 113–142

    Article  Google Scholar 

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© 1997 Springer-Verlag Berlin Heidelberg

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Lamar, B.W., Wallace, C.A. (1997). NETSPEAK: An Algebraic Modelling Language for Nonconvex Network Optimization Problems. In: Pardalos, P.M., Hearn, D.W., Hager, W.W. (eds) Network Optimization. Lecture Notes in Economics and Mathematical Systems, vol 450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59179-2_16

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  • DOI: https://doi.org/10.1007/978-3-642-59179-2_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62541-4

  • Online ISBN: 978-3-642-59179-2

  • eBook Packages: Springer Book Archive

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