Control de almacén automatizado con dos ejes lineales.

[ES]El objetivo principal de este Trabajo Fin de Grado es automatizar un almacén con dos ejes lineales con la meta final de programar un panel de operador para que, ya sea un usuario u operario pueda introducir si desea depositar o recoger un palé, indicando la posición mediante un sistema de coordenadas las cuales dividen a las estanterías del almacén en filas y columnas. Para ello se cambiará parte del hardware de control, el cual incluye el antiguo módulo de posicionamiento (IP 246) que hasta ahora, controlaba el almacén. Esta tarjeta está limitada a un software ya desfasado, sin posibilidad de implementar un panel de operador con los requisitos demandados en la industria de hoy en día. También se ha utilizado una CPU S7-300, a diferencia de la SIMATIC S5 que se utilizaba con la antigua tarjeta.

Distribution of Healthcare resources II.Study and Comparison of a Linear Programming Problem and its Dual. Resolution and Evaluation of a Practical Case and its Programming using Excel and Win QSB.

[EN]This research had as primary objective to model different types of problems using linear programming and apply different methods so as to find an adequate solution to them. To achieve this objective, a linear programming problem and its dual were studied and compared. For that, linear programming techniques were provided and an introduction of the duality theory was given, analyzing the dual problem and the duality theorems. Then, a general economic interpretation was given and different optimal dual variables like shadow prices were studied through the next practical case: An aesthetic surgery hospital wanted to organize its monthly waiting list of four types of surgeries to maximize its daily income. To solve this practical case, we modelled the linear programming problem following the relationships between the primal problem and its dual. Additionally, we solved the dual problem graphically, and then we found the optimal solution of the practical case posed through its dual, following the different theorems of the duality theory. Moreover, how Complementary Slackness can help to solve linear programming problems was studied. To facilitate the solution Solver application of Excel and Win QSB programme were used.