| CODE | SOR3330 | ||||||||
| TITLE | Queuing Theory | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | Not Applicable | ||||||||
| ECTS CREDITS | 4 | ||||||||
| DEPARTMENT | Statistics and Operations Research | ||||||||
| DESCRIPTION | - Introduction to Queuing Theory - Birth-and-Death Processes - Poisson Process - M/M/1 Model in Detail - Multi-Channel Model - Models with Limited Capacity and Limited Population - Models with General Arrival and Service Patterns - Results for Other Single Queue Models - Open and Closed Jackson Networks - Simulation Techniques in Queueing Theory Study-unit Aims Teaching the Queuing Theory at intermediate level. Queuing Theory involves the application of probability and the theory of stochastic processes. It models systems with discrete behavior that can be formalized as queuing systems made of queues and servers. This includes both single queue systems and queuing networks. Learning Outcomes 1. Knowledge & Understanding: By the end of the study-unit the student will be able to: Demonstrate understanding of the theoretical background of Queuing Theory at intermediate level. For selected mathematical models they will be able to: 1. List the assumptions. 2. Derive the formulae. 3. Assess applicability of results. 2. Skills: By the end of the study-unit the student will be able to: 1. Analyze a given practical situation from the Queuing Theory perspective. 2. Select an appropriate mathematical model by checking its assumptions with the reality and finding the input parameters. 3. Solve the model by using appropriate software tools (QTS, Matlab). 4. Interpret the results in given mostly optimization or decision making context. Main Text/s and any supplementary readings Available in library: - Gross, D., Harris, C.M. (2008) Fundamentals of Queueing Theory, John Wiley & Sons. - Prabhu, N.U. (1997) Foundations of Queueing Theory, International Series in OR & Management Sciences. - Allen, A.O. (2009) Probability, Statistics and Queueing Theory, Academic. - Cooper, R.B. (1990) Introduction to Queueing Theory, North Holland. - Newell, G.F. (1982) Applications of Queueing Theory, Chapman and Hall. - Pidd, M. (2004) Computer Simulation in Management Science, John Wiley & Sons. Available at Department: - Tijms, H.C. (2003) A First Course in Stochastic Models, John Wiley & Sons. - Banks, J., Carson, J.S., Nelson, B. and Nicol, D. (2004) Discrete Event Simulation, Prentice-Hall Inc. - Kelton, W.D. (2006) Simulation with Arena, McGraw-Hill. |
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| STUDY-UNIT TYPE | Lecture, Independent Study & Tutorial | ||||||||
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| LECTURER/S | Monique Sciortino |
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The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years. |
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