Skip to main content

Combinatorially Accelerated Branch-and-Bound Method for Solving the MIP Model of Process Network Synthesis

  • Chapter

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 7))

Abstract

Process network synthesis (PNS) has enormous practical impact; however, its mixed integer programming (MIP) model is tedious to solve because it usually involves a large number of binary variables. The present work elucidates the recently proposed accelerated branch-and- bound algorithm that exploits the unique feature of the MIP model of PNS. Implementation of the algorithm is based on the so-called decision-mapping that consistently organizes the system of complex decisions. The accelerated branch-and-bound algorithm of PNS reduces both the number and size of the partial problems. The efficacy of the algorithm is demonstrated with a realistic example.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Floudas, C. A. and I. E. Grossmann, Algorithmic Approaches to Process Synthesis: Logic and Global Optimization, International Symposium on Foundations of Computer Aided Process Design, Snowmass Village, CO, U.S.A., July 10–15, 1994 (in press).

    Google Scholar 

  2. Floudas, C. A. and P. M. Pardalos, A Collection of Test Problems for Constrained Global Optimization Algorithms, In: Lecture Notes in Computer Science ( Eds: G. Goos and J. Hartmanis) Springer-Verlag, 1990.

    Google Scholar 

  3. Friedler, F., L. T. Fan, and B. Imreh, Process Network Synthesis: Problem Definition, accepted for publication in Networks, 1995.

    Google Scholar 

  4. Friedler, F., K. Tarjan, Y. W. Huang, and L. T. Fan, Combinatorial Algorithms for Process Synthesis, ESCAPE-1 Conference, Elsinore, Denmark, May 24–28, 1992; Computers chem. Engng, 16, Suppl., S313–20, 1992.

    Google Scholar 

  5. Friedler, F., K. Tarjan, 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. Tarjan, Y. W. Huang, and L. T. Fan, Graph-Theoretic Approach to Process Synthesis; Polynomial Algorithm for Maximal Structure Generation, Computers chem. Engng, 17 (9), 929–942, 1993.

    Article  Google Scholar 

  7. Friedler, F., J. B. Varga, and L. T. Fan, Decision-Mapping: A Tool for Consistent and Complete Decisions in Process Synthesis, accepted for publication in Chem. Engng Sci., 1995.

    Google Scholar 

  8. Friedler, F., J. B. Varga, and L. T. Fan, Decision-Mapping for Design and Synthesis of Chemical Processes: Application to Reactor-Network Synthesis, International Symposium on Foundations of Computer Aided Process Design, Snowmass Village, CO, U.S.A., July 10–15, 1994 (in press).

    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 

  10. Guisewite, G. M, Network Problems, In: Handbook of Global Optimization, Nonconvex Optimization and Its Applications, 2, (Eds: R. Horst and P. M. Pardalos) Kluwer Academic Publishers, Dordrecht/Boston/London, pp. 609–648, 1995.

    Google Scholar 

  11. Ibaraki, T., Theoretical Comparisons of Search Strategies in Branch-and-Bound Algorithms, Journal of Computer and Information Science, 5, 315–344, 1976.

    Article  MathSciNet  MATH  Google Scholar 

  12. Lawler, E. L. and D. E. Wood, Branch-and-Bound Methods: A Survey, Operations Research, 14 (4), 699–719, 1966.

    Article  MathSciNet  MATH  Google Scholar 

  13. Voudouris, V. T. and I. E. Grossmann, Optimal Synthesis of Multiproduct Batch Plants with Cyclic Scheduling and Inventory Considerations, Ind. Eng. Chem. Res., 32, 1962–1980, 1993.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Kluwer Academic Publishers

About this chapter

Cite this chapter

Friedler, F., Varga, J.B., Fehér, E., Fan, L.T. (1996). Combinatorially Accelerated Branch-and-Bound Method for Solving the MIP Model of Process Network Synthesis. In: Floudas, C.A., Pardalos, P.M. (eds) State of the Art in Global Optimization. Nonconvex Optimization and Its Applications, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3437-8_35

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-3437-8_35

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3439-2

  • Online ISBN: 978-1-4613-3437-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics