Integer optimisation

C. A. Floudas, Nonlinear and Mixed-Integer Optimisation, Oxford University Press, New York, 1995. 

The focus on the start-up phase of a hydrogen infrastructure, by taking into account uncertainties of future market development over the step-by-step optimisation (myopic approach) and the influence of single production plants (using integer variables), thus allowing economies of scale to play out. 

Even if the optimisation of the use of DFS, RAPT or adiabatic inversion pulses is not straightforward for nuclei with low sensitivity, it is nonetheless worth applying one of these methods to improve sensitivity. As long as there is no influence on the CT resonance, these techniques are likely to produce an enhanced CT signal compared to standard spin-echo experiments. Therefore, for Mg (as well as for other insensitive half-integer spin quadrupolar nuclei such as S, K and Ca), it is always advisable to apply some population transfer technique before the excitation of the CT signal. 

Apart from N (an integer) the optimisation problem is a standard Nonlinear Programming (NLP) problem, with the inner optimisation problem providing the values of the outer objective function and constraints. In the outer problem Mujtaba... 

More efficient is a generic tree representation of the separations based on tasks. The sequencing can be formulated as a structural optimisation problem where standard techniques based on Mixed Integer Linear Programming (MILP) apply. The tasks consist of simple distillation columns, as well as of hybrids for complex column arrangements, modelled by appropriate shortcut or semi-rigorous methods. Details can be found in Doherty and Malone (2001). 

Kocis, G.R. and Grossmann, I.E. (1988) Global optimisation of nonconvex mixed-integer non linear programming (MINLP) problems in process synthesis. Industrial Engineering Chemistry Research, 27 (8), 1407-1421. 

The gasoline blend problem is formulated as a Mixed Integer Non-Linear Programming (MINLP) problem, where the fuel composition is to be optimised, subject to product attributes (target properties) and process specifications. Considering the multiple types of eonstraint equations, the general gasoline blend problem is formulated as ... 

Hatzimanikatis, V., Floudas, C.A., Bailey, J.E. (1996) Analysis and design of metabolic reaction networks via mixed integer linear optimisation. AIChE J., 42, 1277-1292. 

Solve the resulting dynamic optimisation problem and find N to the closest integer value. 

MQ MAS techniques for high-resolution solid-state NMR of half-integer spin quadrupolar nuclei have been reviewed by Goldbourt and Madhu. The combination of MQ MAS with other solid-state NMR techniques, such as hetero- and homo-nuclear correlation experiments has also been considered. Other aspects, such as basic theory, experimental implementation, signal optimisation, data analysis and interpretation, signal enhancement schemes and applications have also been presented. 

Maurya, M.R., Bomheimer, S.J., Venkatasubramanian, V., Subramaniam, S. Mixed-integer nonlinear optimisation approach to coarse-graining biochemical networks. lET Syst. Biol. 3, 24-39 (2009)... 

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