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A Nonlinear Programming Technique for the Optimization of Continuous Processing Systems

Author

Listed:
  • R. E. Griffith

    (Shell Oil Company, Houston Refinery)

  • R. A. Stewart

    (Shell Oil Company, Houston Research Laboratory)

Abstract

A description is given of a method for solving some nonlinear programming problems. The mathematics of this method are quite simple and are easy to apply to electronic computation. A numerical example, a model construction example, and a description of a particular existing computer system are included in order to clarify the mode of operation of the method.

Suggested Citation

  • R. E. Griffith & R. A. Stewart, 1961. "A Nonlinear Programming Technique for the Optimization of Continuous Processing Systems," Management Science, INFORMS, vol. 7(4), pages 379-392, July.
    • Handle: RePEc:inm:ormnsc:v:7:y:1961:i:4:p:379-392
    DOI: 10.1287/mnsc.7.4.379
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    Citations

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    Cited by:

    1. Still, Claus & Westerlund, Tapio, 2010. "A linear programming-based optimization algorithm for solving nonlinear programming problems," European Journal of Operational Research, Elsevier, vol. 200(3), pages 658-670, February.
    2. Mohammed Alfaki & Dag Haugland, 2014. "A cost minimization heuristic for the pooling problem," Annals of Operations Research, Springer, vol. 222(1), pages 73-87, November.
    3. Chen, Ruoran & Deng, Tianhu & Huang, Simin & Qin, Ruwen, 2015. "Optimal crude oil procurement under fluctuating price in an oil refinery," European Journal of Operational Research, Elsevier, vol. 245(2), pages 438-445.
    4. Charles Audet & Jack Brimberg & Pierre Hansen & Sébastien Le Digabel & Nenad Mladenovi'{c}, 2004. "Pooling Problem: Alternate Formulations and Solution Methods," Management Science, INFORMS, vol. 50(6), pages 761-776, June.
    5. Oldewurtel, Frauke & Sturzenegger, David & Morari, Manfred, 2013. "Importance of occupancy information for building climate control," Applied Energy, Elsevier, vol. 101(C), pages 521-532.
    6. B Felderer, 1975. "Optimal Allocation of Resources to the Educational Sector in a System of Regions," Environment and Planning A, , vol. 7(1), pages 59-70, February.
    7. Hagspiel, S. & Jägemann, C. & Lindenberger, D. & Brown, T. & Cherevatskiy, S. & Tröster, E., 2014. "Cost-optimal power system extension under flow-based market coupling," Energy, Elsevier, vol. 66(C), pages 654-666.
    8. Hagspiel, Simeon & Jägemann, Cosima & Lindenberger, Dietmar & Brown, Tom & Cherevatskiy, Stanislav & Tröster, Eckehard, 2013. "Cost-Optimal Power System Extension under Flow-Based Market Coupling," EWI Working Papers 2013-9, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI).
    9. Mohammed Alfaki & Dag Haugland, 2013. "Strong formulations for the pooling problem," Journal of Global Optimization, Springer, vol. 56(3), pages 897-916, July.
    10. Sarker, Ruhul A. & Gunn, Eldon A., 1997. "A simple SLP algorithm for solving a class of nonlinear programs," European Journal of Operational Research, Elsevier, vol. 101(1), pages 140-154, August.
    11. Pierre Hansen & Nenad Mladenović & José Moreno Pérez, 2010. "Variable neighbourhood search: methods and applications," Annals of Operations Research, Springer, vol. 175(1), pages 367-407, March.

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