094313 - DETERMINISTIC MODELS IN OPER.RESEARCH

LectureTutorial LaboratoryProject/Seminar
Weekly hours 3 1 0 0
Credit points
3.5

Prerequisites: ( 104009 - LINEAR ALGEBRA M and
234111 - INTRODUCTION TO COMPUTER SCIENCE )or
( 104167 - ALGEBRA A and
234111 - INTRODUCTION TO COMPUTER SCIENCE )
Overlapping courses: 094380 - INT. TO O.R FOR BUSINESS ADMINISTRATION
096609 - QUAN. MODELS IN BEHAVIORAL SCIENCES
096390 - OPERATIONS RESEARCH FOR ENGINEERS
Incorporated courses: 094390 - INTR. TO QUANTITATIVE METHODS
095606 - QUANTITATIVE MODELS IN BEHAVIORAL SCIEN.

Methodology of operations research. Distribution problems and the transportation method. Linear programming. Formulating various problems as linear and integer programming models. C.P.M. Maximal flow and other network models. Integer programming and branch and bound method. Dynamic programming.
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094314 - STOCHASTIC MODELS IN OPER.RESEARCH

LectureTutorial LaboratoryProject/Seminar
Weekly hours 3 1 0 0
Credit points
3.5

Prerequisites: ( 094411 - PROBABILITY )IE( and
104009 - LINEAR ALGEBRA M and
234111 - INTRODUCTION TO COMPUTER SCIENCE )or
( 094412 - PROBABILITY (ADVANCED) and
104167 - ALGEBRA A and
234114 - INTRODUCTION TO COMPUTER SCIENCE )
Linked courses: 094423 - INTRODUCTION TO STATISTICS
Overlapping courses: 094390 - INTR. TO QUANTITATIVE METHODS

This course is concerned with the construction of mathematical models of stochastic systems and includes the basic concepts of the theory of stochastic processes. The course concentrates on the following topics: Counting processes (Bernoulli, Poisson Processes), Markov jump Processes. Markovian queueing processes, etc: Markov chains. In addition, the course contains an introduction to queueing theory, dealing mainly with single server queues (M/M/1 and M/G/1 models).
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094323 - LINEAR DYNAMIC SYSTEMS

LectureTutorial LaboratoryProject/Seminar
Weekly hours 3 1 0 0
Credit points
3.5

Prerequisites: ( 104012 - DIFFERENTIAL AND INTEGRAL CALCULUS 1T and
104167 - ALGEBRA A )or
( 104009 - LINEAR ALGEBRA M and
104017 - DIFFERENTIAL AND INTEGRAL CALCULUS 1M/1 )or
( 104020 - DIFFERENTIAL AND INTEGRAL CALCULUS 2M/1 and
104167 - ALGEBRA A )or
( 104014 - DIFFERENTIAL AND INTEGRAL CALCULUS 2T and
104020 - DIFFERENTIAL AND INTEGRAL CALCULUS 2M/1 )
Overlapping courses: 034019 - LINEAR SYSTEMS
034032 - LINEAR SYSTEMS M
044130 - SIGNALS AND SYSTEMS
Incorporated courses: 044190 - PRINCIPLES OF LINEAR SYSTEMS
044194 - LINEAR CONTROL SYSTEMS

Dynamic phenomena, multivariable dynamic systems, difference and differential equations with constant coefficients, Laplace and Z transform, block diagram and system function, feedback and control models from economics, social sciences and engineering.
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094325 - SEMINAR IN OPERATIONS RESEARCH

LectureTutorial LaboratoryProject/Seminar
Weekly hours 2 0 0 0
Credit points
3.5

Prerequisites: ( 094313 - DETERMINISTIC MODELS IN OPER.RESEARCH and
094314 - STOCHASTIC MODELS IN OPER.RESEARCH and
094423 - INTRODUCTION TO STATISTICS )

The students deliver a lecture, summerize in writing, and discuss one or more papers from the professional literature.
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094327 - NONLINEAR MODELS IN OPERATIONS RESEARCH

LectureTutorial LaboratoryProject/Seminar
Weekly hours 3 1 0 0
Credit points
3.5

Prerequisites: ( 094313 - DETERMINISTIC MODELS IN OPER.RESEARCH and
104011 - DIFFERENTIAL AND INTEGRAL CALCULUS 2M )or
( 094313 - DETERMINISTIC MODELS IN OPER.RESEARCH and
104014 - DIFFERENTIAL AND INTEGRAL CALCULUS 2T )or
( 094313 - DETERMINISTIC MODELS IN OPER.RESEARCH and
104004 - DIFFERENTIAL AND INTEGRAL CALCULUS 2 )or
( 094313 - DETERMINISTIC MODELS IN OPER.RESEARCH and
104281 - INFINITESIMAL CALCULUS 2 )
Overlapping courses: 097324 - OPTIMIZATION METHODS

An introduction to nonlinear optimization theory that deals with minimization or maximization of an objective function subject to constraints with an emphasis on engineering applications. Convex sets and functions, KKT conditions, convex and nonconvex programming and duality. Basic iterative algorithms. Applications in economics, learning, signal and image processing, communications and more. MATLAB foundations and the CVX software. Implementation of algorithms in MATLAB.
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094334 - DIGITAL SIMULATION

LectureTutorial LaboratoryProject/Seminar
Weekly hours 2 2 1 0
Credit points
3.0

Prerequisites: ( 094314 - STOCHASTIC MODELS IN OPER.RESEARCH and
094423 - INTRODUCTION TO STATISTICS )
Incorporated courses: 094335 - DIGITAL SIMULATION OF SYSTEMS

094344 - DISCRETE MATHEMATICS )FOR I.E(

LectureTutorial LaboratoryProject/Seminar
Weekly hours 2 2 0 0
Credit points
3.0

Overlapping courses: 044114 - DISCRETE MATHEMATICS EE
104286 - COMBINATORICS
234141 - COMBINATORICS FOR CS
234144 - DISCRETE MATHEMATICS
234293 - LOGIC AND SET THEORY FOR CS

Combinatorics: basic counting principles, Newton's binomial, inclusion - exclusio principle, recurrence relations, induction. set theory: basic definitions, relations, functions, equivalence relations, order relations, cardinals, Cantor's diagonalization.
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