My Profile
Active Members
TodayLast 7 Days
more...
Awards & Gifts
Online Exams
Fresher Jobs
Our fresher job section is exclusively for fresh graduates! Find jobs for freshers in major Indian
cities including Bangalore, Chennai, Hyderabad, Pune or Kochi
Resources
Find educational articles, blogs, discussion threads and other resources.
Colleges
Find details about any college in India or search for courses.
|
Download Model question papers & previous years question papers
|
Posted By: sunil Member Level: Diamond Posted Date: 01 Jul 2008
|
2007 Jawaharlal Nehru Technological University Chemical engineering IV B.Tech II Semester Supplementary Examinations, June 2007 OPERATIONS RESEARCH Question paper
|
|
|
Code No: RR420804
Set No. 3
IV B.Tech II Semester Supplementary Examinations, June 2007
OPERATIONS RESEARCH
(Chemical Engineering)
Time: 3 hours
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
Max Marks: 80
1. Give four de?nitions of Operations Research and explain each one of them by giving
critical comment.
2. Maximize using Simplex Method.
Z = 10 x + 1 y + 2 z
ST
1x + 1y - 2 z = 10
4 x + 1 y + 1 z = 20
and x,y and z all = 0
3. (a) Explain necessary condition for solving n Jobs and 3 machines.
[16]
[16]
(b) A book binder has one printing press, one binding machine, and the man-
uscripts of a number of di?erent books. The time required to perform the
printing and binding operations for each book are known. Determine the or-
der in which books should be processed on the machines, in order to minimize
the total time required.
Book Printing time Binding time
[6+10]
1
2
3
4
5
6
20
120
50
30
90
110
60
100
90
80
30
10
4. The following mortality rates have been observed for a certain type of light bulbs:
week :
1 2 3 4 5
Percent failing by week end : 10 25 50 80 100
There are 1000 bulbs in use and it costs Rs.2 to replace an individual bulb which
has burnt out. If all the bulbs were replaced simultaneously it would cost 50 paise
per bulb. It is proposed to replace all bulbs at ?xed intervals, whether or not they
have burnt out, and to continue replace burnt out bulbs as they fail? At what
interval should all the bulbs be replaced ?
5. (a) List the characteristics of competitive games.
(b) Two companies A and B are competing for the same product. Their di?erent
strategies are given in the following pay o? matrix.
Company A
A1 A2 A3
Company B B1 2 -2 3
B2 -3 5 -1
[12]
What are the best strategies for both the companies? Find out the value of
the Game.
6. In a bank operating from 10AM to 2 PM the cheques are cashed at a single counter,
Customers wishing to cash cheques arrive according to a Poisson process at the rate
of 20 customers a day. The cashier at the counter takes on an average 10 minutes to
cash the Cheque. The service time has been shown to be exponentially distributed.
(a) Compute the percentage of time the cashier is busy.
(b) Compute the average time a customer is expected to wait.
(c) Compute the average number of customers waiting in the queue.
7. Explain & illustrate the following
(a) Saw tooth graph
(b) Safety Stock
(c) Lead Time
(d) Re-order Point
8. (a) Enumerate Bellman’s principle of optimality.
(b) Solve the following problem by using dynamic programming .
Max. x1x2x3
Subject to : x1+x2+x3 = 5, x1, x2, x3 = 0
Return to question paper search
|
|
|
Submit Previous Years University Question Papers and make money from adsense revenue sharing program
Are you preparing for a university examination? Download model question papers
and practise before you write the exam.
|
Watch TV Channels
|