MINLP problems are hard constrained optimization problems, with nonlinear constraints and mixed discrete continuous variables. They can be solved using a Branch-and-Bound scheme combining several methods, such as linear programming, interval analysis, and cutting methods. Our goal is to integrate constraint programming techniques in this framework. Firstly, global constraints can be introduced ...

Hydrogen network management has economic appeal due to its importance in oil refineries. It become genuinely relevant the restrictions of sulfur content fuels, which need hydrogen be removed. Mathematical programming can used as a tool for optimizing networks, and efficient within refineries achieved through material balance units that make up network. In this work, an optimization model Mixed-...

A new mathematical model based on the alternative process routings in presence of a queuing system in a dynamic cellular manufacturing system has been proposed in this paper.This model integrates two problems of cell formation and inter-cell layout and also an efficiency factor which is defined for minimizing the cell load variation through the maximizing the busy time for all machine types. In...

This paper addresses the planning problem regarding location and sizing of PV generators in distribution networks with a radial topology. is mathematically modeled using mixed integer nonlinear programming (MINLP) model, which seeks to reduce total annual operating costs system for horizon 20 years. The objective function used this comprises three elements: (i) energy purchase at substation nod...

This paper presents a mixed-integer nonlinear programming (MINLP) model for performing structural and parameter optimization of utility plants that satisfy given electrical, mechanical and heating demands of industrial processes. In this model a nonlinear objective function that accounts for the cost of equipment and operation is minimized. The proposed approach allows for the simultaneous opti...

This paper addresses the design of sustainable chemical supply chains (SCs) in the presence of uncertainty in the life cycle inventory associated with the network operation. The design task is mathematically formulated as a bi-criterion stochastic mixed-integer nonlinear program that simultaneously accounts for the maximization of the net present value (NPV) and the minimization of the environm...

Abstract Different versions of polyhedral outer approximation are used by many algorithms for mixed-integer nonlinear programming (MINLP). While it has been demonstrated that such methods work well convex MINLP, extending them to solve nonconvex problems traditionally challenging. The Supporting Hyperplane Optimization Toolkit (SHOT) is a solver based on approximations the feasible set MINLP pr...

This paper presents a mixed-integer nonlinear programming (MINLP) model for the optimal design of mechanical counter-flow cooling towers, subjected to standard design constraints. The objective function consists of the minimization of the total annual cost, which includes the capital cost of the cooling tower (that depends on the filling material and the air flowrate) and the operating cost (th...