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Operation Research

Mechanical - Effective Upto 2013

 

Code : 171901 Common Name : OR Year : 4 Sem : 7
Theory Hours : 4 Practical Hours : 0 Tutorial Hours : 2 Credits : 6
Exam Marks : 70 Midsem Marks : 30 Practical Marks : 50 Total : 150


Syllabus Topics


BASICS OF OPERATION RESEARCH:
Definition, characteristics, phases, scope and limitations of OR.



LINEAR PROGRAMMING:
Formulation, graphical method, Simplex method, Degeneracy, Big-M method, Two phase method, duality, sensitivity analysis.



TRANSPORTATION MODEL:
North-West Corner rule, Least-cost method, Vogel’s approximation method, Degeneracy in transportation problem, stepping stone method, modified distribution method, unbalanced supply and demand, profit maximization problem, prohibited transportation routes, transshipment problems.



ASSIGNMENT MODEL:
Hungarian method for solution, non square matrix, restriction on assignments, Maximization problem, travelling salesman problem.



GAMES THEORY :
Terms used in game theory, Two person zero sum games, pure strategy, matrix reduction by dominance, mixed strategies(2 x 2 , 2 x n , m x 2 , 3 x 3 games), algebric, arithmetic and graphical method



REPLACEMENT MODELS :
Replacement of items whose maintenance and repair costs increase with time- ignoring changes in the value of money during the period and considering value of money changes with time, replacement of items that fail suddenly, group replacement policy, mortality and staffing problems



QUEUING MODELS :
Terms used in queuing theory, Kendall’s notation, classification of queuing models- model 1 (M/M/1) : (/FCFS) single server unlimited queue, model 2, (M/M/1) : (/SIRO), model 3 birth-death process-generalisation of model (M/M/1) : (/FCFS), model 4 (M/M/1) : (N/FCFS) single server finite queue, model 5 (M/M/C) : (/FCFS) multi channel queuing model.



INVENTORY MODELS:
Objectives of inventory management, inventory classification, inventory costs, EOQ, inventory models with deterministic and probabilistic demand, ABC analysis.



NETWORK ANALYSIS:
Terms used in network analysis, Network or arrow diagram, Fulkerson’s rule, Programme evaluation and review technique (PERT), Critical path method (CPM), Crashing of network.



SIMULATION:
Introduction, Monte Carlo Simulation, Generation of random numbers.



DYNAMIC PROGRAMMING:
Introduction, Bellman’s principle of Optimality, solution of problems with finite number of stages, solution of LPP by dynamic programming.




Books

Operation Research

P.K. Gupta & D.S. Hira, - S.Chand & Company Ltd, New Delhi

Operation Research

V. K . Kapoor, - Sultan Chand & Sons, New Delhi.

Quantitative Techniques in Management

N.D. Vohra , - Tata McGraw Hill, New Delhi

Operation research

P. Rama Murthy, - New Age, New Delhi

Operation Research

Hamdy A. Taha, - Pearson Education.

Operation Research

A.P. Verma , - S.K. Kataria and Sons, New Delhi

Operation Research

Rathindra - P. Sen PHI Learning, New Delhi.

Operation Research

S. Kalavathy, - Vikas publishing house, Noida.

Operation Research

C.Mohan & Kusum Deep, - New Age, New Delhi

Operation Research

Askhedkar & Kulkarni, - Dhanpatrai & Sons

Operation Research

D.S. Cheema , - Laxmi publication, New Delhi

Operation Research

S.D.Sharma , - Kedarnath publications New delhi

Exam Papers

Sem2011201220132014
7Oct - 2011
19-11-2012


Dec - 2012
26-12-2012


Jun - 2012
24-05-2012


Nov - 2013
26-11-2013


Nov - 2014
25-11-2014


May - 2014
22-05-2014



GTU Result

ExamTotalPassPass %FailFail %AA
7,6927,27594.584175.4265
5,3625,06294.413005.5955
2,8912,76695.681254.3296