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270 - guida - Facoltà di Ingegneria

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GUIDA DELLO STUDENTE<br />

Aims<br />

(english version)<br />

The course aims to intoduce the models of mathematical programming for decision optimization problems in business management and to<br />

provide the students with mathematical and application tools for solving linear programming problems with special reference to the<br />

computational aspects<br />

Topics<br />

- Introduction to management decision-making problems<br />

- Formulation of linear programming problems in management decision-making problems<br />

- Linear programming model<br />

- Graphical resolution<br />

- Review of linear algebra and convex analysis<br />

- The simplex method in tabular form and pivot matrix method<br />

- Two-phase simplex method and revised simplex methods<br />

- Dual problem and primal-dual relationships:dual variables and duality theorems<br />

- Post-optimality analysis and stability analysis<br />

- Dual simplex method<br />

- Transportation problems: mathematical model<br />

- Assignment problems : mathematical model<br />

- Application of the linear programming in production planning problems<br />

- Software LINDO (Linear INteractiver Discrete Optimization)<br />

Exam<br />

Written and oral examination<br />

Textbooks<br />

- F. Pezzella, Elementi <strong>di</strong> Programmazione Lineare, Liguori E<strong>di</strong>tore, Napoli<br />

- F. Pezzella, E. Faggioli, Ricerca Operativa: problemi <strong>di</strong> gestione della produzione, Pitagora E<strong>di</strong>trice, Bologna<br />

- Photocopies of the slides of the lessons<br />

Tutorial session<br />

Wednesday 10,30 -13,30<br />

42

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