Numerical and environmental considerations on a complex industrial mixed integer non-linear programming (MINLP) problem

Non-convex mixed-integer nonlinear programming: A survey

“…These include avoiding trim-loss in the paper industry [30], airplane boarding [31], oil-spill response planning [32], ethanol supply chains [33], concrete structure design [34], and loadbearing thermal insulation systems [35]. There are also medical applications, such as seizure prediction [36].…”

Global optimization in the 21st century: Advances and challenges

“…They studied the exponential transformation and potential-based transformations and applied them to integer posynomial problems. Harjunkoski, Westerlund, and Pörn (1999) studied the trim loss minimization problem for the paper converting industry, formulated it as a nonconvex MINLP, proposed transformations for the bilinear terms that are based on linear representations and convex expressions, studied the reductions of the combinatorial space, investigated the role of different types of objective functions, developed and assessed several algorithmic alternatives, and showed that the global solution can be obtained with all strategies and certain convex formulations performed similarly to the linear models. Adjiman, Androulakis, and Floudas (2000) proposed two novel global optimization approaches for nonconvex mixedinteger nonlinear programming problems.…”

Optimal residential appliance scheduling under dynamic pricing scheme via HEMDAS

“…The intrinsic non-convexity and nonlinearity lead to lowering convergence rate makes it hard to achieve optimal solution. In most cases, transformation techniques have been employed in order to arrive at the optimal solution [22][23][24]. In [25], a parameterization technique was applied to the scheduling problem.…”