Statistics and Probability
Department of Mathematical Sciences
The University of Liverpool

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L69 7ZL, UK
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E-mail: piunov@liverpool.ac.uk

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MATH268 : OPERATIONAL RESEARCH; PROBABILISTIC MODELS


AIMS:

To introduce a range of models and techniques for solving under
uncertainty in Business, Industry, and Finance.

LEARNING OUTCOMES:

After completing the module, the students should be familiar with a range of techniques for solving probabilistic problems arising in OR.

OUTLINE SYLLABUS:

Decision analysis: strategies and decision trees; elements of Markov Decision Processes.
Forecasting: errors and accuracy, moving average, exponential smoothing, seasonal effects.
Queuing Theory: M/M/1, M/M/K and similar Markov models.
Simulation: pseudo-random generators, universal and special algorithms (Polar, Von Neumann, etc). Simulation of stochastic processes including queues.

RECOMMENDED TEXT:

A. S. C. Ehrenberg, A Primer in Data Reduction, Wiley, 1982.
F. S. Hillier and G. J. Liebermann, Operations Research, 6th ed, McGraw-Hill, 1995

ASSESSMENT WEIGHTINGS: 90% Examination; 10% Continuous Assignment.


MATH RESOURCES:

Basic formulas
Past exam papers


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