Exercise Files
Linear Programming Problem
Linear Programming - Formulation - Graphical method and Simplex Method - Formation of Primal and Dual.
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Transportation Problems and Assignment Problems
Transportation Problems: NWC - LCM - VAM - Starting Solution - MODI method - Optimal solution ᧓ balanced and unbalanced Transportation problems (non degeneracy case only) - Assignment problems: Solving balanced and unbalanced assignment problems using Hungarian method.
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Queuing Theory
Queuing Theory - definitions of Waiting Line Model - Queue Discipline - traffic intensity -Poisson Arrival - Birth Death Process - Problems from Single Server - Finite and infinite Population Model.
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CPM and PERT
CPM - Principles - Construction of Network for projects - Types of Floats
PERT - Time scale analysis - critical path - probability of completion of project.
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Simulation
Simulation: Examples, advantages- limitations - Monte - Carlo simulation - Generation of random numbers - steps in simulation - uses of simulation - Simulation applied to queuing problems - simulation applied to some other types of problems
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Syllabus
21UCL302: RESOURCE MANAGEMENT TECHNIQUES
Objectives: The students can enhance knowledge in the following areas such as LPP, transportation problems, assignment problems, Game theory, Queueing models, etc.
Prerequisites: Business Mathematics in Higher Secondary level
Unit I: Linear Programming Problem
Linear Programming - Formulation - Graphical method and Simplex Method - Formation of Primal and Dual.
Unit II: Transportation Problems and Assignment Problems
Transportation Problems: NWC - LCM - VAM - Starting Solution - MODI method - Optimal solution ᧓ balanced and unbalanced Transportation problems (non degeneracy case only) - Assignment problems: Solving balanced and unbalanced assignment problems using Hungarian method.
Unit III: Queuing Theory
Queuing Theory - definitions of Waiting Line Model - Queue Discipline - traffic intensity -Poisson Arrival - Birth Death Process - Problems from Single Server - Finite and infinite Population Model.
Unit IV: CPM and PERT
CPM - Principles - Construction of Network for projects - Types of Floats
PERT - Time scale analysis - critical path - probability of completion of project.
Unit V: Simulation
Simulation: Examples, advantages- limitations - Monte - Carlo simulation - Generation of random numbers - steps in simulation - uses of simulation - Simulation applied to queuing problems - simulation applied to some other types of problems.
Text Book:
Recourse Management Techniques by Prof.V.Sundaresan, K.S.Ganapathy Subramanian and K.Ganesan, .A.R. Publications, March 2011.
Unit I: Chapter 2: Sections: 2.1, 2.3, 2.5, 2.6. Chapter3: Sections: 3.1.3, 3.1.4.
Unit II: Chapter 7: Sections: 7.1 ᧓ 7.4, Chapter 8: Sections: 8.1 ᧓ 8.6.
Unit III: Chapter13: Sections: 13.1 to 13.3, 13.5, 13.6 and 13.8.
Unit IV: Chapter 15: Sections: 15.1 to 15.7.
Unit IV: Chapter 17: Sections: 17.1 to 17.7.
Reference Books
Operations Research by Kanti Swarup, Gupta R.K, Manmohan, S .Chand & Sons
Education Publications, New Delhi, 16th Edition. 2012, Reprint 2013.
Tracts in Operations Research by Kanti Swarup, P.K. Gupta, Manmohan,
S. Chand & Sons Education Publications, New Delhi, 11th Edition. 2003, Reprint 2003.
Outcomes: Students can gain knowledge in
Linear Programming Problem, transportation problem, assignment problem,
Game theory, and queuing models.
Industry, banks, IT Field, Marketing, Quality control.
