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An Algorithm for Improving the Bounding Procedure in Solving Process Network Synthesis by a Branch-and-Bound Method

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Developments in Global Optimization

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 18))

Abstract

Process network synthesis (PNS) has enormous practical impact; however, its mixed integer programming model is tedious to solve because it usually involves a large number of binary variables. A structural model of PNS can be given on the basis of a combinatorial approach. An optimal solution of this model can conveniently be generated by a branch-and-bound method if an effective bounding procedure is available. In the present work, a sharp bounding function is given for solving PNS by a branch-and-bound method.

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References

  1. Blázsik, Z.and B. Imreh, Note on connection between PNS and set covering problems, Acta Cybernetica, to appear.

    Google Scholar 

  2. Floudas, C. A. and I. E. Grossmann, Algorithmic Approaches to Process Synthesis: Logic and Global Optimization, AIChE Symposium Series No. 304, 91 (Vol.: L. T. Biegler and M. F. Doherly), 198–221 (1995).

    Google Scholar 

  3. Friedler, F., L. T. Fan, and B. Imreh, Process Network Synthesis: Problem Definition, Networks, to appear.

    Google Scholar 

  4. Friedler, F., K. Tarján, Y. W. Huang, and L. T. Fan, Combinatorial Structure of Process Network Synthesis, Sixth SIAM Conference on Discrete Mathematics, Vancouver, Canada, 1992.

    Google Scholar 

  5. Friedler, F., K. Tarján, Y. W. Huang, and L. T. Fan, Graph-Theoretic Approach to Process Synthesis: Axioms and Theorems, Chem. Eng. Sci., 47 (8), 1973–1988 (1992).

    Article  Google Scholar 

  6. Friedler, F., K. Tarján, Y. W. Huang, and L. T. Fan, Graph-Theoretic Approach to Process Synthesis: Polynomial Algorithm for Maximal Structure Generation, Computers chem. Engng., 17, 929–942 (1993).

    Article  Google Scholar 

  7. Friedler, F., J. B. Varga, E. Fehér, L. T. Fan, Combinatorially Accelerated Branch-and -Bound Method for Solving the MIP Model of Process Network Synthesis, presented at the International Conference on State of the Art in Global Optimization: Computational Methods and Applications, Princeton University, Princeton, NJ, U.S.A., April 28–30, 1995; also published in Nonconvex Optimization and its Applications (Eds: C. A. Floudas and P. M. Pardalos), pp. 609–626, Kluwer Academic Publishers, Norwell, MA, U.S.A., 1996.

    Google Scholar 

  8. Friedler, F., J. B. Varga, and L. T. Fan, Decision-Mappings: A Tool for Consistent and Complete Decisions in Process Synthesis, Chem. Eng. Sci., 50, 1755–1768 (1995).

    Article  Google Scholar 

  9. Grossmann, I. E., V. T. Voudouris, O. Ghattas, Mixed-Integer Linear Programming Reformulations for Some Nonlinear Discrete Design Optimization Problems, In: Recent Advances in Global Optimization (Eds: C. A. Floudas and P. M. Pardalos) Princeton University Press, New Jersey, 1992.

    Google Scholar 

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© 1997 Springer Science+Business Media Dordrecht

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Imreh, B., Friedler, F., Fan, L.T. (1997). An Algorithm for Improving the Bounding Procedure in Solving Process Network Synthesis by a Branch-and-Bound Method. In: Bomze, I.M., Csendes, T., Horst, R., Pardalos, P.M. (eds) Developments in Global Optimization. Nonconvex Optimization and Its Applications, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2600-8_19

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  • DOI: https://doi.org/10.1007/978-1-4757-2600-8_19

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4768-0

  • Online ISBN: 978-1-4757-2600-8

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