Linear programming models

Process Design vs. Accounting Linear Program Models... 

The process design linear program model is best written with flexibility in mind, such as extra matrix rows to provide flexibility in recycling, adding outside streams intermediate in the process, and determining component incremental values at each processing stage. This subject is discussed more fully later in this chapter. 

The example used here does not represent any particular process and is simpler than most real life plant cases. It does, how ever, have the elements needed to talk our way through the development of a process design linear program model. All models should have the following ... 

ALLEN, D. H. (1971) Brit. Chem. Eng. 16, 685. Linear programming models. 

Both the mixing process and the approximation of the product profiles establish nonconvex nonlinearities. The inclusion of these nonlinearities in the model leads to a relatively precise determination of the product profiles but do not affect the feasibility of the production schedules. A linear representation of both equations will decrease the precision of the objective but it will also eliminate the nonlinearities yielding a mixed-integer linear programming model which is expected to be less expensive to solve. 

A continuous-time mixed integer linear programming model for... 

I. E. (1997) A mixed-integer linear programming model for shortterm scheduling of single-stage multiproduct batch plants with parallel lines. Ind. Eng. 

Formulate a linear programming model for determining how much of each product the firm should produce to maximize profit. 

Assume that all other cash flows are fixed so that the profit to be maximized is total sales income minus the total cost of the constituents. Set up a linear programming model for determining the amount and blend of each grade of gasoline. 

Addams, F.G. and Griffin, J.M. (1972) Economic-linear programming model of the U.S. petroleum refining industry. Journal of American Statistics Association, 67, 542. 

Manne, A. (1958) A linear programming model of the US petroleum refining industry. Econometrica, 26, 67. 

Lee, H., Pinto, J.M., Grossmann, I.E., and Park, S. (1996) Mixed-integer linear programming model for refinery short-term scheduling of crude oil unloading with inventory management Industrial el Engineering Chemistry Research, 35, 1630. 

The above discussion shows the importance of petrochemical network planning in process system engineering studies. In this chapter we develop a deterministic strategic planning model of a network of petrochemical processes. The problem is formulated as a mixed-integer linear programming model with the objective of maximizing the added value of the overall petrochemical network. 

Optimal portfolios using linear programming models. Journal of the Operational Research Society, 55, 1169. 

Wouda FHE, van Beek P, van der Vorst JGAJ, Tacke H (2002) An application of mixed-integer linear programming models on the redesign of the supply network of Nutricia Dairy Drinks Group in Hungary. OR Spectrum 24 449-465... 

Linking Process Simulators to a Refinery Linear Programming Model... 

C. Russell and W. J. Vaughan, A Linear Programming Model of Residuals Management for Integrated Iron and Steel Production, Journal of Environmental Economics and Management, 1, 17-42 (1974). 

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