Reactor, batch general optimal design

Unconstrained optimization methods are discussed in Chapter 3. Heuristic methods, gradient methods and the conjugate direction methods are introduced together with Newton s method and modified Newton and quasi-Newton methods. Convergence and stop criteria are discussed, implemented in generalized classes, and used to optimize the design and operation of batch and fixed-bed reactors. 

Within each of the three general approaches toward process synthesis, key decisions are made about the flowsheet design that have a bearing on the operability characteristics of the plant. For example, in a hierarchical procedure (Ref. 6) we will make decisions about whether the plant is batch or continuous, what types of reactors are used, how material is recycled, what methods and sequences of separation are employed, how much energy integration is involved, etc. In a thermodynamic pinch analysis, we typically start with some flowsheet information, but we must then decide what streams or units to include in the analysis, what level of utilities are involved, what thermodynamic targets are used, etc. In an optimization approach, we must decide the scope of the superstructure to use, what physical data to include, what constraints to apply, what disturbances or uncertainties to consider, what objective function to employ, etc (Ref. 7). 

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