A decision in the present can affect a lifetime in the future. Starting from the previous premise and transferring it to the business field, it maintains a graphic relationship very similar to what is experienced every day in the upper management offices, with the departmental heads, even with all those who have the capacity to organize decide critical situations in the performance of the business exercise of any company.
Decisions are fundamental and always require quick actions, which is why mathematical modeling has been used as a tool that helps in the identification of the best decisions and thus, with all the certainty that all bias has been discarded, take the decision decision based on a quantifiable and qualifying rationale.
In this writing, the terminology and conceptualization of mathematical modeling are described in a general way, as well as the implications it has in decision-making, and the models mostly applied based on the requirements of organizations in the face of systems dynamics are mentioned. The most commonly used mathematical models are described.
Conceptualization
- Model
Concluding that CEOs are more concerned with forecasting the future with a certain level of uncertainty, than considering the historical past.
Mathematical methods
Based on what has already been developed, then it is established that each problem requires its own solution from one or different mathematical methods. It is not possible to label certain solutions for x problems.
However, trends can be seen among the methods which give added value according to the problems they face. Some commonly used mathematical methods are:
- Mathematical modeling techniques
There are an extensive amount of mathematical modeling resources and each of them is based on what you want to analyze. Each model has its own characteristics and based on it specific factors immersed in the process.
Therefore, in this process, the four levels of decision-making can be considered in which it is suggested which are the useful ones.
Decision Making Modeling
- Visualization technique
It considers all those graphically based models by means of computers, it is prioritized in the display models. Thus, the correct design adjusted to the needs is considered useful in the decision-making process.
- Mathematical optimization
Commonly, the study of algorithms corresponds to mathematical programming.
Each type of algorithm is designed to meet certain requirements, while algebraic or differential models can use other types of programming based on their needs.
- Heuristics.
This type of technique is widely used for optimization and is used when the structure of the models is not appropriate. The big difference between heuristics is that they do not provide a mathematical solution to the program, when there is no mathematical algorithm.
Heuristics despite their restrictions can offer useful solutions when known mathematical algorithms are not known.
- Expert systems
In general words, expert systems seek to mount an automated decision-making system based on advanced knowledge of the human being on an existing one. Due to their complexity, they require investment of time in design and training, as well as close collaboration with experts in the field. They are used when it is required to automate decisions at the hierarchical level of execution.
- Analytics and data mining
Designing models always requires solid and deep knowledge of the processes involved. Normally we acquire it from the expedition of an expert who has dedicated time of his life to research and analysis, through books, magazines, periods, publications. However, the raw material of these models is basically fed by the historical data.
The purpose of the analysis is to obtain historical data for the creation of models that support decision-making.
Use of mathematical models for decision making
Mathematical models and decision making are not so dispersed from each other after all. Both react accordingly to eventualities of organizations to evaluate their performance.
It is essential that every organization encourages from its decision making, regardless of the organization level, those who have an internal responsibility within the company the use of mathematical modeling to obtain the expected results.
Decision-making, therefore, is not a process that must be incorporated into one more activity in the busy schedule of managers, but must be studied with caution and be able to determine the best and optimal decisions that will affect the entire organization.
conclusion
Organizations, be they large or small, are governed by the same premise; decision making. It seems to be a common theme and it does not represent more than a little of the attention of those responsible for organizations, however, the role that decision-making plays is elementary and vital in its operation and permanence.
One small decision can set the course for an entire organization. And from this it is that as soon as the managers identified that the strategies can improve, they began to explore areas or applications until that moment unknown in the field of mathematics.
Thus arises the study of decision making from mathematical models, which were closer to, or at least provide a broader panorama of the near future.
References
- Cantú, HR (2013). Methods and mathematical modeling for the analysis of complex processes in organizations. CELERINET, 64-69.García, J. (2006). Monografias.com. Obtained from Modeling, models and their importance for educational sciences: http://www.monografias.com/trabajos36/los-modelos/los-modelos.shtmlKafati, EG (May 01, 2009). Imaginative thinking. Obtained from Mathematical modeling for decision-making: http: //manuelgross.bligoo.com/content/view/501562/Modelamientomatematico-para-la-toma-de-decisiones.html Morgan, G. (1980). Images of the Organization. Madrid: Rome. Munévar, AH (2008). Atlantic International University. Obtained from Decision making: http: //www.aiu.edu/publications/student/spanish/TOMA%20DE%20DECISIO NES% 20-% 20Decisions% 20Making.html # _Toc145505545SALGADO, CA (2006).Proposal of a multicriteria mathematical model, so that decision-making in employee funds and worker cooperatives in Manizales contributes to cooperativity. Manizales, Simon, HA (1964). Administrative Behavior. Study of decision-making processes in administrative organization. Valencia. National Autonomous University of Colombia. (2015). Obtained from the Faculty of Administration: http://www.virtual.unal.edu.co/cursos/sedes/manizales/4060010/lecciones/C apitulo1 / model.htmNational Autonomous University of Colombia. (2015). Obtained from the Faculty of Administration: http://www.virtual.unal.edu.co/cursos/sedes/manizales/4060010/lecciones/C apitulo1 / model.htmNational Autonomous University of Colombia. (2015). Obtained from the Faculty of Administration: http://www.virtual.unal.edu.co/cursos/sedes/manizales/4060010/lecciones/C apitulo1 / model.htm
