Management Programme - IGNOU

MS-51
Management Programme
ASSIGNMENT
FIRST SEMESTER
2009
MS-51: Operations Research
School of Management Studies
INDIRA GANDHI NATIONAL OPEN UNIVERSITY
MAIDAN GARHI, NEW DELHI-110 068

Dear Student,
Please attempt the assignment questions given in this leaflet/booklet and submit it to the coordinator
of the study center, you are attached with, on or before 30 th April, 2009.
MS-51 : OPERATIONS RESEARCH
ASSINGNMENT
Course Code : MS-51
Course Title : Operations Research
Assignment Code : 51/TMA/SEM-1/2009
Coverage : All Blocks
Attempt all the questions.
1) Discuss the principles of modelling in Operations Research. Identify the application of
O.R. in manufacturing and service sectors.
2) Solve the following linear programming problem through simplex method
Minimize Z = 600 x 1
+ 500 x 2
Subject to
2x 1
+ x 2
> 80
x 1
+ 2x 2
> 60
x 1
,x 2
> 0
3) a) Explain the Primal – Dual relationship.
b) What is the significance of dual variable in LP – Problem.
4) a) Explain MAXIMIN and MINIMAX criteria in Game Theory.
b) Explain saddle point, pure and Mixed Strategy.
5) In a bank there is only one window, a solitary employee performs all the services required
and window remains continuously open from 7 AM to 1 PM. It has been discovered that the
average number of clients are 54 during the day and that the average service items in of five
minutes per person. Calculate
a) The average number of clients in the system
b) The average waiting time
c) The utilization rate of the window
6) Write short notes on
a) Goal Programming
b) Dynamic Programming
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