Ma

Ma Matemathics

Ma 95 079 Stochastic Processes

Units:3-0-8 Requirement: Ma 00 835 Probability and Statistics Semester and career:IFI, 6th semester Equivalence:None

General aim of the course:This course is directed towards introducing the student to nondeterministic models. The focus is mainly heuristic to develop a probabilistic intuition in the student. Proofs and demonstrations are based in probabilistic more than analytic arguments. The following processes are presented: Poisson, Markov and Renewal processes.

Bibliography:

An Intoruction to Stochastic Modeling, Howard M. Taylor and Samuel Karlin; Academic Press, Inc
Applied Probability Models with Optimization Applications, Sheldon M. Ross; Hodeln Day.
Probability and Stochastic Processes, with a View Toward Applications, Leo Breiman; Houghton Mifflin Company, Boston.

Instructor's profile: Masters or PhD degree in Statistics or Engineering with experience in Stochastic Processes.

Language of Instruction:Spanish

Campus:Monterrey

Ma 95 080 Heurestic Optimization

3-0-8 Requirement:In95-841,Ma95-075,Ma95-076,Ma95-078
Semester and career:IFI, ISE, IIS, IEC 7th Semester
Equivalence:None

General aim of the course:To introduce the students to the design and analysis of heurestic methods of combinatorial optimization. This includes the development of skills to identify problems that cannot be solved exactly by means of efficent algorithms, and thus approximate solutions are required. The techniques to be discussed in the course are those populary known as metaheuristics, in particular the following will be covered: Tabu Search, Genetic Algorithms and Neural Networks

Bibliography:

F. Glover and Laguna, M. Tabu Search. Kluwer Academic Publishers, 1997.
Zurada, J., Introduction to Artificial Neural System. PWS Publishing Company, 1992.
Haykin, S. Neural Networks: A comprehensive foundation. Prentice Hall, 2nd Edition, 1999.
Goldberg, David Genetic Algorithms in Search, Optimization and Machine Learning, Addison Wesley, 1989

Instructor's profile:PhD degree in Optimization Area and graduated in mathematics or engineering

Language of Instruction:Spanish
Campus:Monterrey