A large number of process synthesis and design problems in chemical engineering can be modeled as mixed integer nonlinear programming (MINLP) problems. They involve continuous (floating point) and integer variables. A common feature of this class of mathematical problem is the potential existence of non-convexities due to the particular form of the objective function and/or the set of constrain...

In order to improve the cooperative operation scheduling effect of agricultural machinery, this article uses particle swarm neural network study algorithm machinery and improves intelligent machinery. Aiming at mixed integer nonlinear programming problem, proposes a collaborative population intelligence linear programming. The outer layer improved IPSO module, inner simplex SIM optimal solution...

We develop a trust region filter strategy for simultaneous optimal design of heat exchanger networks that includes detailed shell-and-tube exchangers. The first solves mixed-integer nonlinear programming (MINLP) formulation with shortcut models to generate candidate network topologies, which are then used in non-isothermal mixing (NLP) suboptimization embedded using modified (TRF) algorithm. An...

We study mixed integer nonlinear programs (MINLP) that are driven by a collection of indicator variables where each indicator variable controls a subset of the decision variables. An indicator variable, when it is “turned off”, forces some of the decision variables to assume a fixed value, and, when it is “turned on”, forces them to belong to a convex set. Most of the integer variables in known...

A Nonlinear Mixed Integer Programming approach is presented to select the number of membrane modules required in the extraction and stripping sectors of a Non Dispersive Solvent Extraction Plant for effluent treatment and metal recovery. The differential equations that model each membrane module are discretized using orthogonal collocation on finite elements leading to an algebraic system of eq...

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...

The problem of the optimal placement and dimensioning constant power sources (i.e., distributed generators) in electrical direct current (DC) distribution networks has been addressed this research from point view convex optimization. original mixed-integer nonlinear programming (MINLP) model transformed into a conic equivalent via second-order cone programming, which produces MI-SOCP approximat...

Logistic network design is one of the most important strategic decisions in supply chain management that has recently attracted the attention of many researchers. Transportation network design is then one of the most important fields of logistic network. This study is concerned with designing a multi-stage and multi-product logistic network. At first, a mixed integer nonlinear programming model...

The Perspective Relaxation (PR) is a general approach for constructing tight approximations to Mixed-Integer NonLinear Problems with semicontinuous variables. The PR of a MINLP can be formulated either as a Mixed-Integer Second-Order Cone Program, provided that the original objective function is SOCP-representable, or as a Semi-Infinite MINLP. We show that under some further assumptions—rather ...