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Optimization of Batch Reactions in Series with Uncertainty

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Abstract

Certain types of chemical reactions, such as the global deprotection of a polypeptide, are extremely complex. As a result, it may be very difficult or expensive to develop accurate models of these chemical reactions. Without a satisfactory kinetic model for the reaction, it is difficult to develop an optimum operating policy that will maximize the profit. Stochastic optimization is applied in this work to an example process step to obtain the optimum reaction temperature and reaction time. In the case of the “here and now” problem, the optimal conditions are a lower reaction temperature and a longer reaction time than obtained from the deterministic problem. The average reaction time for the “wait and see” problem is also longer than the deterministic case, but the average reaction temperature is very close to that of the deterministic problem. Both normally and uniformly – distributed uncertain parameters are considered.

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References

  • Budavari, S. (1996). The Merck Index, 12th ed. Whitehouse Station: Merck & Co.

    Google Scholar 

  • Diwekar, U.M. (1997). "Code for Hammersley Sequence Sampling." Personal communication.

  • Diwekar, U.M. (2003). Introduction to Applied Optimization. Norwell, MA: Kluwer Academic Publishers.

    Google Scholar 

  • Diwekar, U.M. and J. Kalagnanam. (1997). "An Efficient Sampling Technique for Optimization under Uncertainty." AIChE Journal 43, 440–449.

    Article  Google Scholar 

  • Diwekar, U.M. and K.H. Sahin. (2002). "PDF Using Kernel Functions: Computer Code." Personal communication.

  • Levenspiel, O. (1972). Chemical Reaction Engineering, 2nd ed. New York: Wiley.

    Google Scholar 

  • Merrifield, R.B. (1963). "Solid Phase Peptide Synthesis. I. The Synthesis of a Tetrapeptide." Journal of American Chemical Society 85, 2149–2154.

    Google Scholar 

  • Padmanabhan, S.K.R. and Pitchumani. (1999a). "Stochastic Analysis of Isothermal Cure of Resin Systems." Polymer Composites 20, 72–85.

    Article  Google Scholar 

  • Padmanabhan, S.K.R. and Pitchumani. (1999b). "Stochastic Modeling of Nonisothermal Flow during Resin Transfer Molding." International Journal of Heat and Mass Transfer 42, 3057–3070.

    Article  Google Scholar 

  • Press, W.H., S.A. Teukolsky, W.T. Vetterling and B.P. Flannery. (1999). Numerical Recipes in Fortran 77: The Art of Scientific Computing, Vol. 1, 2nd ed. New York: Cambridge University Press.

    Google Scholar 

  • Watkins, K. (2001). "Peptides: A Boom in the Making." Chemical and Engineering News, January 8.

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Tomazi, K.G. Optimization of Batch Reactions in Series with Uncertainty. Ann Oper Res 132, 189–206 (2004). https://doi.org/10.1023/B:ANOR.0000045282.19338.8e

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  • DOI: https://doi.org/10.1023/B:ANOR.0000045282.19338.8e

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