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Please note - Swinburne University of Technology

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SM700 Reading Program<br />

12.5 credit points<br />

No formal hours<br />

Prerequisites: nil<br />

Instruction: individual supervision<br />

Assessment: submission <strong>of</strong> a literature survey<br />

report and an verbal examination <strong>of</strong> the material<br />

presented in the reading program. The<br />

examination panel will be composed <strong>of</strong> the<br />

minor thesis supervisor and one other academic<br />

staff member<br />

Subject aims<br />

To provide the appropriate reading material relevant to each<br />

student's proposed minor thesis topic.<br />

Subject description<br />

A reading program relevant to the minor thesis topic. The<br />

reading program will vary from student to student<br />

depending on the topic <strong>of</strong> study.<br />

Reference<br />

Moses, I. Supenking bstgraduates. Kensington, N.S.W.: HERDSA<br />

Green Guide No. 3, 1985<br />

~ ~ 7 0 Stochastic 3 Processes<br />

12.5 credit points<br />

No. <strong>of</strong> hours per week: four hours (total 56<br />

hours)<br />

Prerequisites: nil<br />

Instruction: class teaching, workshops and<br />

computer laboratory sessions<br />

Assessment: assignments 50%, examination 50%<br />

Subject aims<br />

To study stochastic processes and their methods <strong>of</strong> solution<br />

when applied to selected operations research topics.<br />

Subject description<br />

Topics selected from random walks, branching processes,<br />

Markov chains, advanced queueing theory, simulation using<br />

dedicated s<strong>of</strong>tware, stochastic inventory models, stochastic<br />

scheduling models, stochastic LP, stochastic dynamic<br />

programming.<br />

References<br />

Allen, A.O. Probability. Statistics and Queueing Theory: With<br />

Computer Science Applications. 2nd ed, Boston: Academic Press.<br />

1990<br />

Feller, W. An Introduction to Probability Theory and its Applications.<br />

Volume 1, 3rd ed, New York: Wiley, 1968<br />

Heyrnan. D.P. and Sobel, M.J. Stochastic Models. Handbooks in<br />

Operations Research and Management Science. Volume 2,<br />

Amsterdam, North Holland, 1990<br />

Kleinrock, L. Queueing Spfems. Vol. 1, New York: Wiley, 1975<br />

Kleinrock, L. Queueing Systems. Vol. 2, New York: Wiley, 1976<br />

law, A.M. and Kelton, W.D. Simulation Modelling and Analysis. 2nd<br />

ed, New York: McGraw Hill, 1991<br />

Leigh. J.R. Modelling and Simulation. London: Rregrinus, 1983<br />

Maki, D.C and Thompson. M. Mathematical Models and Applicatmns.<br />

Englwvood Cliffs: Prentice Hall, 1973<br />

Murthy, D.N.P.. Page, N.W. and Rodin, E.Y. Mathematical Modelling: A<br />

Tool for Problem Solving in Engineering, Physical, Biological and<br />

Social Sciences. Oxford: Pergamon, 1990<br />

W~nston, W.L. Operations Research Applications and Algorithms. 2nd<br />

ed, Boston: WE-Kent, 1991<br />

Computer s<strong>of</strong>tware<br />

Lotus 123, SIMAN, SAS.<br />

SM704<br />

Mathematical Methods<br />

12.5 credit points<br />

No. <strong>of</strong> hours per week: four hours (total 56<br />

hours)<br />

Prerequisites: nil<br />

Instruction: class teaching<br />

Assessment: assignments 30%, examination 70%<br />

Subject aims<br />

To introduce some areas <strong>of</strong> modern mathematics and their<br />

application in numerical methods.<br />

Subject description<br />

A selection <strong>of</strong> topics from real and functional analysis, linear<br />

algebra, complex variables.<br />

References<br />

Barnett, 5. and Cameron, R.G. Introduction to Mathematical Control<br />

Theory 2nd ed. Oxford: Clarendon Press, 1985<br />

Gantmacher. F.R. The Theory <strong>of</strong> Matricer Vol. I and 11, Chelsea:<br />

Bronx, 1959<br />

Hauser, A.A. Complex Wriables with physical Applications. Simon and<br />

Schuster, 1971<br />

H<strong>of</strong>fman, K. Analysis in Euclidean Space. Englewood Cliffs, N.J.:<br />

Prentice Hall, 1975<br />

Lancaster, F! Theory <strong>of</strong> Matrices 2nd ed, Orlando: Academic Press,<br />

1985<br />

Mukherjea, A. Real & Functional Analysit New York, 1978<br />

Rade, L. and Westergren, B. Beta Mathematics Handbook. 2nd ed,<br />

Lund: Studentlitteratur, 1990<br />

Spiegel, M.R. Theory and Problems <strong>of</strong> Complex Mriables. Schaum's<br />

Outline Series. 2nd ed, New York: McGraw-Hill, 1974<br />

Computer s<strong>of</strong>tware<br />

MATLAB<br />

SM705 Computing Techniques and Packages<br />

12.5 credii points<br />

No. <strong>of</strong> hours per week: four hours (total 56<br />

hours)<br />

Prerequisites: nil<br />

Instruction: class teaching, individual study<br />

program, workshops and computer laboratory<br />

sessions<br />

Assessment: assignments 50%, examination 50%<br />

Subject aim<br />

To provide an in depth study <strong>of</strong> some computing languages<br />

and packages relevant to a student's course <strong>of</strong> study.<br />

Subject description<br />

A selection <strong>of</strong> topics from C, Mathematica, Mathcad, SIR,<br />

SAS, SASIOR, SASIGRAPH, SASIIML, SASIETS, FIDAP. SIMAN,<br />

MATLAB or other relevant packages.<br />

References<br />

Relevant manuals<br />

SM706 Decision and Risk Analysis<br />

12.5 credit points<br />

No. <strong>of</strong> hours per week: four hours (total 56<br />

hours)<br />

Prerequisites: nil<br />

Instruction: class teaching, workshops and<br />

computer laboratory sessions<br />

Assessment: assignments 50%. examination 50%<br />

Subject aim<br />

To present students with statistical methods and tools used<br />

to assist decision making and risk management in industry.<br />

Subject description<br />

Selection <strong>of</strong> topics from decision analysis, reliability theory,<br />

risk analysis and quality control.<br />

References<br />

Adair, J. Management Decision Making. Aldeahot: Gower, 1985<br />

Baird, 8.F. Management Decisions Under Uncertainty: An<br />

Introduction. New York: Wiley, 1989<br />

Davis, M. The Art <strong>of</strong> Decision Making. New York: Springer, 1986<br />

Frankel, E.G. Systems Reliability and Risk Analysis. 2nd ed, Dordrecht:<br />

Kluwer, 1988<br />

Martz, H.F. and Waller, R.A. Bayesian Reliability Analyrs. New York:<br />

Wiley, 1982<br />

Montgomery, D.C. Intffiduction to Statistical Quality Control. New<br />

York: Wiley, 1991<br />

Perigord. M. Achieving Total Quality Management. Cambridge, M.A.:

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