QUANTITATIVE METHODS & OPERATIONS RESEARCH

Sunday, 11 May 2014
MODULE 1
Introduction to OR, Importance of OR, Scope of OR in business activities, Optimization
concept, OR Models: Linear programming, Introduction to LP, Problem formulation,
product mix and various managerial applications and Graphical method of problem
solving, Alternate solution of LP, Duality in LP, Formulation of dual problems,
advantages, its economics interpretation, Sensitivity analysis only just to know no
problems need be worked out and software packages to be used to solve LP models.
TRANSPORTATION MODELS
Nature and scope of transportation and allocation models, Methods of allocation,
different methods for finding initial solution – VAM, N-W Corner Rule, and other
methods, degeneracy. Finding optimal solution, Tests for optimality, Imbalance in total
availability and total allocation – impossible shipments, Alternate methods of solutions,
and maximization as objective Scope of transportation models.
ASSIGNMENT PROBLEMS
Traveling salesman problem, Row Minimum, Column Minimum, Iteration, Balanced,
Unbalanced, Infeasible, Maximization.

MODULE 2
Queuing theory (waiting line), Single server/Single Queue, Essential features of queuing
system, Single Queue, Operating characteristics of queuing system, Probability
distribution in queuing system, Multi server, description of other queuing models (only
description)
SEQUENCING PROBLEMS
Processing 'n' jobs through 2 machines, Processing ‘n’ jobs through 3 machines, No 2
jobs on ‘n’ machines
REPLACEMENT MODELS
Replacement of items deteriorating with time, Replacement of items that fail completely,
(No group replacement)

MODULE 3
Network models, Introduction to PERT, CPM techniques, Network components,
precedence, events, activities, errors and dummies, Critical path analysis, float,
Probabilities in PERT analysis, project time calculations, Project crashing, time cost
considerations (No resource leveling)

MODULE 4
Inventory models, Meaning and importance of inventory management, , EOQ formula,
economic lot size, Problems based in EOQ formula, Types of Inventory control methods

MODULE 5
Theory of games – introduction, two person zero - sum games, Saddle point,
Dominance theory, description of other models and their managerial application (only
description, no problems and No Graphical method)
SIMULATION
Introduction to basic concepts, Simulation procedures, Application of simulation, critical
evaluation of software and using customized software.

BOOKS RECOMMENDED
1. JK Sharma, Quantitative Techniques, McMillan
2. ND Vohra, Quantitative Techniques in Management, TMH
3. Anderson, Sweeney, Williams, Quantitative Methods for Business, Thomson
4. JK Sharma, Operations Research, McMillan
5. Barry Render, Ralph Stair and Michael Hanna, Quantitative Analysis, Pearson
6. Frederick Hillier and Gerald Lieberman, Operations Research, TMH
7. Natarajan, Balasubramani and Tamilarasi, Operations Research, Pearson

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