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International Journal of Trend in Scientific Research and Development (IJTSRD) ISSN: 2456-6470
nd
Special Issue of 2 International Congress of Engineering
Z Max  C 1 X  C 2 X  ...  C n X optimization technique to deal with problems of
2
n
1
Subject to: allocation of scarce resources between competing
a 11 x 1  a 12 x 2  ... a 1n x n  b 1 activities, dealing exclusively with objective functions
and linear constraints.
a 21 x 1  a 22 x 2  ... a 2n x n  b 2
. Schwarz (2014) points out that, within the
professional career of industrial engineering, an area
. of research is the research of operations. The lines of
. investigation that emerge from there are:
a m 1 x 1  a m 2 x 2  ... a mn x n  b m
x , x 2 ...x n  0  Optimization of operations and processes
 Route and transport scheduling
And its matrix form is given by the expression:  Location of Facilities

Z Max  CX  Process simulation
Subject to:  Solutions with Artificial Intelligence techniques

AX  B Kowalski, Enríquez, Santelices, and Mercedes (2015)

X  0 In engineering careers, and in the case of Industrial
Engineering, algorithms occupy an important place,
Where: particularly in the discipline Operative Research.

C = It is the matrix of costs or utilities, formed by the Applications of the simplex method
coefficients of the objective function.
This method or procedure has countless applications
A = is the matrix of coefficients of the system formed in linear programming, but also use in mathematics
by the constraints. and geometry. Among the most common applications
of the simplex method are (Martínez, 2012):
B = is the column matrix of independent terms of the
constraint system.  It is a technique used to give numerical solutions
to problems of linear programming.
X = is the column matrix of the variables X1, X2, X3,  It is commonly applied to find an optimal solution
..., Xn of the constraint system. to problems of maximization and minimization.

Romero, Muñoz, and Romero (2006) point out that  It is useful for solving large and complex
Industrial Engineering as a discipline dedicated to the problems.
design, innovation, improvement, installation and  Variables commonly used in linear programming
administration of integrated systems of human have been developed from the simplex method.
resources, materials, equipment and technologies,  This method has been extremely useful for the
organized for efficient and manufacturing and development of software that facilitates the
services. Acevedo and Linares (2012) point out that
Industrial Engineering has been boosted since the calculation process. An example of this is the
WIN QSB®
industrial revolution, its importance grows by its
efficient contribution to efficiency and business  This model is used for the correct interpretation of
productivity that leads to new levels, the decision models based on mathematical
competitiveness of industrial sectors in the countries. descriptions in order to help in decision making in
situations of uncertainty.
Guédez (2011) points out that linear programming
(PL) is part of mathematical programming and is an

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