This paper focuses on the application of stochastic (genetic algorithms, simulated annealing) and deterministic (sequential quadratic programming) optimization methods for the Integrated Design of processes considering dynamical non-linear models. Moreover, a hybrid methodology that combines both types of methods is proposed, showing an improvement on performance. Controllability indexes such a...

This paper addresses the single-item single-stocking location non-stationary stochastic lot-sizing problem under a reorder point -- order quantity control strategy. The points and quantities are chosen at beginning of planning horizon. allowed to vary with time we consider either be series time-dependent constants or fixed value; this leads two variants policy: (st,Qt) (st,Q) policies, respecti...

in this paper a new method is proposed for path planning of planar manipulators amid obstacles through mathematical programming in a way that the robot’s links avoid collision with obstacles throughout their motion from an initial to a goal configuration. after inputting the workspace geometry, the shortest feasible path for the robot’s end-effector is planned toward its goal position using gen...

We present a Mixed Integer Non-Linear Programming (MINLP) model capable of choosing the best design considering economic profit, availability, and safety. The takes into account probability suffering failure in year operation, as well revenue generated process units being non-functional state. inclusion programmed maintenances specified duration is considered model, assuming an equal distributi...

The optimal setting of directional overcurrent relays (DOCRs) ensures the fault detection and clearing in minimum possible operation time. Directional protective relaying is carried out to coordinate relay settings a meshed network presence distributed generation. main goal DOCR coordination find time dial (TDS) pickup multiplier (PMS) reach total all primary constraints. Due complexity mixed i...

Numerous industrial problems can be modelled as MINLP problems combining both numeric and integer variables. Several methods were proposed to solve these problems. But industrial applications need more than solving problems: dynamic problems, over-constrained problems, or explaining solver behaviour are features required by industrial applications. Explanation-based constraint programming offer...

This paper has as a major objective to present a unified overview and derivation of mixedinteger nonlinear programming (MINLP) techniques, Branch and Bound, Outer-Approximation, Generalized Benders and Extended Cutting Plane methods, as applied to nonlinear discrete optimization problems that are expressed in algebraic form. The solution of MINLP problems with convex functions is presented firs...

This paper addresses the problem of solving mixed-integer nonlinear programming (MINLP) problems by a multistart strategy that invokes a derivative-free local search procedure based on a filter set methodology to handle nonlinear constraints. A new concept of componentwise normalized distance aiming to discard randomly generated points that are sufficiently close to other points already used to...

The recent increase in data rates for Free space optics (FSO) transmission technology, means they could be used designing the backhaul/fronthaul 5G and beyond cellular networks. flexibility cost-effectiveness provided by FSO are primary reasons mobile operators to investigate potential of technology as a backhaul/fronthaul. Unfortunately, reliability links is weather dependent, especially if li...

In this study, a flexible optimization approach is introduced to design an optimal biocompatible solvent for an extractive fermentation process with cell-recycling. The optimal process/solvent design problem is formulated as a mixed-integer nonlinear programming model in which performance requirements of the compounds are reflected in the objectives and the constraints. A flexible or fuzzy opti...