Operational Research - Herrera Cáceres

Simple Steps - In general The first step in formulating a LP model is the textual description of the problem. Then, the alternatives or decision variables of the problem are defined. Next, the objective function and constraints of the model are constructed using the decision variables. With this, the operations research model is organized according to the following general format: Max imize   or  Min imize this:   Objective function . Subject to   the following:   Constraints. See the full lecture   (This file is compressed. Therefore, you must install Winzip, winRAR or another compatible decompressor application on your computer.)

Mathematical Programming: It is any optimization problem in which a function  f(x)  (called objective function) is optimized subject to a set of constraints. The function  f(x)  and the constraints could be linear or non-linear functions, and they must be deterministic without a temporal structure in its formulation. The objective function is a scalar function. When the variables of the model (in both the objective function  f(x)  and constraints) maintain linear relations, the model refers to a linear programming problem. See the full lecture (This file is compressed. Therefore, you must install Winzip, winRAR or other compatible decompressor  application  on your computer).

Set definition: It is an appropriately established collection of distinct objects, considered as an object in itself. Linear function definition: It is a polynomial function of first degree. In the Cartesian plane, it is equivalent to a straight line. In 3D (two variables functions), it is equivalent to a plane. In more than 3D, it is called hyperplane. See the full lecture

According to the International Federation of Operational Research Societies (IFORS) : “Operational Research (OR) is the discipline of applying advanced analytical methods to help make better decisions. By using techniques such as problem structuring methods and mathematical modelling to analyze complex situations, Operational Research gives executives the power to make more effective decisions and build more productive systems.” According to the Association of European Operational Research Societies (EURO) : “.. a scientific approach to the solution of problems in the management of complex systems.” “… an understanding is sought which will facilitate the choice and the implementation of more effective solutions which, typically, may involve complex interactions among the elements of the system…” “Organisations may seek a very wide range of operational improvements…”  “OR can offer the flexibility and adaptability to provide objective help.” “The...