Description |
Program: M.Sc
Course Code STAT-6214
Credit Hours 3 CR
Course Coordinator Qasim Ramzan
Introduction
This course will introduce the basic principles in optimal resource allocation. Operations Research (OR) represents the study of optimal resource allocation. The goal of OR is to provide rational bases for decision making by seeking to understand and structure complex situations, and to utilize this understanding to predict system behavior and improve system performance.
Pre requisites: -
Learning outcomes
- Provide rational bases for decision making.
- Utilize this understanding to predict system behavior and improve system performance.
- Solving complex problems and improving quantitative decisions.
Textbooks
- Taha, H.A. (1998) “Operations Research”. Macmillan London.
- Hiller, F.S. and Lieberman, G.J.(1996). “Introduction to Operations Research”, Holden Day.
- Gupta, P.K. and Hira, D.S. (1994). “Operations Research”. S. Chand & Co., New Delhi.
- Bazarra, N.M., Jarvis, J.J. and Sherali, H.D. (1990). “Linear Programming and Network Flows”. John Wiley & Sons, 2nd edition.
Week
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Topics
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Books
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1
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History and definition of O.R.
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Taha, H.A. (1998) “Operations Research”.(1-7),
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2
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linear programming. Formulation of LP model.
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Taha, H.A. (1998) “Operations Research”.(10-14)
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3
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Methods to solve LP models
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Taha, H.A. (1998) “Operations Research”.(15-20)
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4 |
Simplex method.
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Taha, H.A. (1998) “Operations Research”.(82-94) |
5
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Duality theory.
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Taha, H.A. (1998) “Operations Research”.(151-161)
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6
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the dual simplex method
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Taha, H.A. (1998) “Operations Research”.(161-172)
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7
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Degeneracy and cycling, artificial variables
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Assignment |
8
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Methods of solving transportation problems
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Taha, H.A. (1998) “Operations Research”.(194-206)
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9
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sensitivity analysis
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Taha, H.A. (1998) “Operations Research”.(123-144)
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10
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Queing theory
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Taha, H.A. (1998) “Operations Research”.(550-555)
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11
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Game theory, Network analysis
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Assignment
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12
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Assignment problem
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Taha, H.A. (1998) “Operations Research”.(200-232)
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13
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Graphical solution via Software
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Tora Software |
14 |
Simplex method via Software |
Tora Software
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15
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Sensitivity analysis via Softwares
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Tora Software
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16 |
presentation |
Tora Software |
Description of system of Evaluation
Exam: Mid (30%), Final (50%), Sessional (20%): Assignments, Presentations, Class Participation, Quizzes
Time Table: M.Sc Regular:
M.Sc (3rd Regualr) |
tuesday |
11:00 AM to 12:00 PM |
thursday |
10:00 AM to 11:00 AM |
friday |
8:00 AM to 9:00 AM |
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