Mixed-integer nonlinear programs

The best way to approach the retrofit synthesis of the heat-exchanger network is to model all five tasks simultaneously. A mixed-integer nonlinear programming model is usually formulated to accomplish this goal. 

Achenie, L., and Duvedi, A. (1996). A Mixed Integer Nonlinear Programming Modle for the Design of Refrigerant Mixtures, AJChE Annual Meeting, San Francisco. 

The synthesis of operating procedures for continuous chemical plants can be represented as a mixed-integer nonlinear programming problem, and it has been addressed as such by other researchers. In this chapter we have attempted to present a unifying theoretical framework, which ad-... 

One of the approaches that can be used in design is to carry out structural and parameter optimization of a superstructure. The structural optimization required can be carried out using mixed integer linear programming in the case of a linear problem or mixed integer nonlinear programming in the case of a nonlinear problem. Stochastic optimization can also be very effective for structural optimization problems. 

Mixed Integer Nonlinear Programming Without loss of generality, we can rewrite the MINLP in (3-84) as ... 

The specific problem characteristics are modeled most appropriately by a combination of concepts from various general modeling frameworks leading to a mixed-integer nonlinear programming (MINLP) model. 

Grossmann, I. E. Kravanja, Z. 1995. Mixed-Integer Nonlinear Programming Techniques for Process Systems Engineering. Computers Chem. Engng, Vol. 19, Suppl., pp. S189-S204. 

Duran, M. A. and I. E. Grossmann. An Outer Approximation Algorithm for a Class of Mixed—Integer Nonlinear Programs. Math Prog 36 307-339, (1986). 

Kalitventzeff, B. Mixed Integer Nonlinear Programming and its Application to the Management of Utility Networks. Eng Optim 18 183-207 (1991). 

Bauer, M. H. and J. Stichlmair. Design and Economic Optimization of Azeotropic Distillation Process Using Mixed-Integer Nonlinear Programming. Comput Chem Eng 22 1271-1286 (1998). 

Floudas, C. A. and G. E. Paules. A Mixed-Integer Nonlinear Programming Formulation for the Synthesis of Heat-Integrated Distillation Sequences. Comput Chem Eng 12 531-546 (1988). 

Mixed-integer nonlinear programming MINLP (refer to Chapter 9). 

Flowsheet optimization is also regarded as a key task in the structural optimization of a flowsheet. As a described in the introduction, structural optimization for process design can be formulated as a mixed integer nonlinear program (MINLP). This then allows for addition or replacement of existing units, and consideration of a number of design options simultaneously. In these formulations individual units are turned on and off over the course of the optimization, as suggested by the MINLP master problem. 

Duran, M. A., and Grossmann, I. E., A mixed-integer nonlinear programming algorithm for process systems synthesis. AlChE J. 32, 592 (1986). 

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