A Multi-Objective Mathematical Model of Dynamic Cellular Production for Analysis Robust Reply in the Different Skills of Workers

The multi-objective optimization issue is the main objective of creating optimal set of objectives known as Pareto optimal front in order to provide the ultimate decision-maker.
The last determination of a point of Pareto front in order to actualize the framework by the decision maker, generally just done dependent on the objectives introduced in the mathematical model. In addition to these objectives, it is better to consider other criteria to select the final answer. One of the most important criteria, the manufacturing firm response to changes in the parameters of the problem. In this paper, a mathematical model for the design of production cells by taking two non-contiguous objectives between cellular components, presentation and analysis. Cooperation between workers in a cell can have a large impact at the time of completion. So one of the important points in the cell production system, control all system components during the manufacturing process. This means that the number of workers, machinery and parts devoted to the cells must be at a manageable level. To analyze and evaluate the stability of the solution produced a solid analysis techniques using Monte Carlo simulation has been used. This method increases the quality of the final stages to be chosen by the decision maker.