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21UCL302: RESOURCE MANAGEMENT TECHNIQUES

By Rekha Categories: BBA, Dr. SNSRCAS
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About Course

Operations Research (OR) is an analytical method using mathematics, statistics, and algorithms to find optimal, data-driven solutions to complex decision-making problems. Originating during WWII, it focuses on maximizing efficiency, profit, or yield while minimizing costs, risks, and time in systems involving people, machines, and resources.

What Will You Learn?

  • Methodology: Involves defining the problem, constructing a mathematical model, deriving solutions, testing, and implementing them.
  • Core Techniques: Linear programming (simplex method), integer/nonlinear programming, simulation, queueing theory, game theory, and network analysis (critical path method).

Course Content

Linear Programming Problem
Linear Programming - Formulation - Graphical method and Simplex Method - Formation of Primal and Dual.

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.

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.

CPM and PERT
CPM - Principles - Construction of Network for projects - Types of Floats PERT - Time scale analysis - critical path - probability of completion of project.

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

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.

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