Facoltà di Ingegneria - Guida degli insegnamenti (Syllabus)

The student should have a good knowledge of the notions provided by basic courses in Mathematics and in Automatic Control. It 'also useful to know how to use programming tools

The course aims at providing the student with quantitative methodologies to support business decisions and management of economic-productive systems and processes in industry and in services and useful tools to analyse qualitatively discrete-time complex models for the description and control of processes related to production management, in particular concerning the supply chain. The student will face from a different point of view topics encountered in other courses, and will verify the potential of the use of more advanced models to describe and analyse the of processes behaviour for prediction and control purposes .

Students learn to build models of various complexity describing processes related to the management of the system in its various sub-components (logistics, manufacturing, marketing, finance, administration and control), to analyse their theoretical properties, to implement them in Excel and to evaluate the behaviour with parameters variation by means of simulations, to design and implement appropriate control strategies to obtain the desired behaviour.

Through guided exercises the students develop - Their ability to learn by assessing the completeness and adequacy of their preparation; - The independence of judgment in analysing the behaviour of economic and production processes and formulate and propose solutions to problems inherent in the representation and management of such models; - Communication skills in formulating and properly describe the solutions to the problems under consideration.

The notions of linearity, non linearity, chaos and complexity for dynamical systems. 2. Linear and non linear models SISO and MIMO (dynamic of the populations(Malthus, Verhurst), the logistic map, Lotka-Volterra, Prices dynamics, Fibonacci sequence, 3. Mortages: adjustable rate mortgages (FRM), adjustable rate mortgages (ARM) , Goodwill model, Markov chaines, Leslie matrices). Discrete time systems,. Caotic behavior. 4. Numerical solution of non linear equations: bisection method, fixed point scheme , method of Newton-Raphson. 5. Stability of linear and non linear systems. 6. Problems in modelling the production management with particular regard to "supply chain" . 7. Control methodologies of "model based" type

The learning evaluation will consist of a written test divided into two parts, each one to be completed in an hour. The first part consists of four questions of a theoretical nature, on the topics discussed in class and contained in the materials provided to the students. The second part, that takes place immediately after the first, consists of three problems to be solved with the use of Excel. In the case of a negative result of one of the tests, the student can repeat only that part, provided this is done within the same academic year

Correctness, completeness and clarity in answering the questions in the theory test. Accuracy and completeness in solving the exercises. As for the project, the student must prove that he can apply the concepts learned in the course, to properly use the tools and appropriate technologies and to write a clear technical report.

The first test consists of 4 groups of questions on the various parts of the program, each group contains a question which is assigned a score between 0 and 10, and a question which is assigned a score between 0 and 6. The student must answer a question in each group, choosing two questions for 10 points and two for 6 points. The second test consists of three questions, each of which is assigned a score between 0 and 10. A test is considered sufficient if the score is greater or equal to 15.

The overall grade is given by the arithmetic mean, rounded up to the whole, of the sum of the scores obtained in the two parts, if both are sufficient. The overall grade required to pass the exam is 18 points. Otherwise the overall grade is Not sufficient . The student who in addition to getting a score greater than or equal to 30 has demonstrated complete mastery of the topics addressed, and clarity of exposition will have a 30 e lode.

Manuals and handouts provided by the teacher; other material in the site Esse3 Web

- Ingegneria Gestionale (Corso di Laurea Magistrale Fuori Sede (DM 270/04))

**Università Politecnica delle Marche**

P.zza Roma 22, 60121 Ancona

Tel (+39) 071.220.1, Fax (+39) 071.220.2324

P.I. 00382520427