Operation Optimisation by Bonny et al

For a fixed column design, Bonny et al. (1996) considered multiperiod operation optimisation but with multiple separation duties. That is why this is presented in this chapter rather than in Chapter 6. The optimisation problem can be stated as  

11 Reprinted from Journal of Process Control, 6, Mujtaba, I.M. and Macchietto, S., Simultaneous optimisation of design and operation of multicomponent batch distillation column-single and multiple separation duties, 27-36, Copyright (1996), with permission from Elsevier Science. 

Mathematically the maximum productivity optimisation problem can be presented as  

For a given reboiler size Bo, the following constraints apply  

Bonny et al. (1996) considered that the whole quantity of each mixture must be processed, therefore, 

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