Targeting optimum resource allocation using reverse problem formulations and property clustering techniques Academic Article uri icon


  • Decoupling the constitutive equations from the balance and constraint equations allows for reformulating a conventional forward problem into two reverse problems. The first reverse problem is the reverse of a simulation problem, where the process model is solved in terms of the constitutive (synthesis/design) variables instead of the process variables, thus providing the synthesis/design targets. The second reverse problem (reverse property prediction) solves the constitutive equations to identify unit operations, operating conditions and/or products by matching the synthesis/design targets. Visualization of the problem is achieved by employing recently developed property clustering techniques, which allows a high-dimensional problem to be visualized in two or three dimensions. The clusters by definition satisfy intra-stream and inter-stream conservation through linear "mixing" rules, which allows for the development of consistent additive rules along with their ternary representation. 2005 Elsevier Ltd. All rights reserved.

published proceedings

  • Computers & Chemical Engineering

author list (cited authors)

  • Eljack, F. T., Abdelhady, A. F., Eden, M. R., Gabriel, F. B., Qin, X., & El-Halwagi, M. M.

citation count

  • 32

complete list of authors

  • Eljack, Fadwa T||Abdelhady, Ahmed F||Eden, Mario R||Gabriel, Frederico B||Qin, Xiaoyun||El-Halwagi, Mahmoud M

publication date

  • October 2005