Dear
students get fully solved assignments
Send
your semester & Specialization name to our mail id :
help.mbaassignments@gmail.com
or
call
us at : 08263069601
DRIVE - SPRING 2018
PROGRAM
MBA
MBA205 & OPERATIONS RESEARCH
SET-I
Q 1.Explain the process of Operation Research.
Process of Operation Research
10
Answer-
Process
of Operations Research
OR
provides an integratedframework for making various business decisions.
Therefore, it is of utmostimportance for an organisation to have a clear
understanding of thisframework for solving various business problems. The
integrated frameworkof OR involves
Q 2.Write short note on
a. Concept of Duality in Linear Programming problem. 2.5
b. North-West Corner Method in Transportation problem 2.5
c. Benefits of holding inventory
2.5
d. Economic Order Quantity (EOQ) model 2.5
Answer-
Duality in Linear Programming
Duality in
Linear Programming Problems!
For every
Linear programming Problem, there is a corresponding unique problem involving
the same data and it also describes the original problem. The original problem
is called primal programme and the corresponding unique problem is called Dual
programme. The two programmes are very closely related and optimal solution of
dual gives complete information about optimal solution of primal and vice
versa.
Different useful aspects of this property are:
Q 3.ABC Pvt. Ltd. is currently using a machine that was purchased
for Rs 36,000. The resale value of the machine is Rs 12,000. Maintenance cost
of machine is 3,000 Rs for first year and then increases by 500 Rs every year.
Calculate total and average cost for 12 Years and find the best time to replace
the machine.
Calculation of Total and Average cost 8
Replacement Year 2
Answer:
Machine cost is C= 36,000
|
Year
(1)
|
Maintenance cost (Rs.)
(2)
|
Cumulative Maintenance cost
(Rs.)
(3)
|
Resale value (Rs.) (4)
|
Depreciation (5)= 36000-(4)
|
Total cost (6)=(3+5)
|
Average cost = (6)/(1)
|
SET-II
|
Q 1.
a. Define the meaning of assignment problem in
operation Research.
b. In a manufacturing unit, time required by
machineries to perform jobs is given in following matrix.
|
|||||||
|
Work\Job
|
I
|
II
|
III
|
IV
|
V
|
||
|
A
|
15
|
12
|
20
|
18
|
22
|
||
|
B
|
18
|
20
|
17
|
22
|
27
|
||
|
C
|
20
|
18
|
17
|
19
|
18
|
||
|
D
|
25
|
22
|
18
|
30
|
25
|
||
|
E
|
24
|
22
|
28
|
25
|
30
|
||
|
How should the jobs be allocated to machinery to
minimize the total man-hours?
|
A.
Description of assignment problem 4
Optimum allocation through Hungarian method 6
Answer-
a)
Description of assignment problem:
An assignment problem is a special
type of transportation problem. In an assignment problem, the same number of
facilities (sources of supply) needs to be allocated to the same number of jobs
(points of destinations) so that the transportation cost is minimised or the
profit is maximised. An assignment problem can occur while assigning:
·
Machines to factory orders
·
Salespeople to sales
b)
Find
Solution of Assignment problem using Hungarian method
|
Work\Job
|
I
|
II
|
III
|
IV
|
V
|
|
A
|
15
|
12
|
20
|
18
|
22
|
|
B
|
18
|
20
|
17
|
22
|
27
|
|
C
|
20
|
18
|
17
|
19
|
18
|
|
D
|
25
|
22
|
18
|
30
|
25
|
|
E
|
24
|
22
|
28
|
25
|
30
|
Q 2.Define following criteria’s used for decision
making under Uncertainty
a. Optimism (maximax or minimin) criterion 2
b. Pessimism (maximin or minimax) criterion 2
c. Equal probabilities (Laplace) criterion 2
d. Coefficient of optimism (Hurwicz) criterion 2
e. Regret (salvage) criterion 2
Answer-
Optimism
(maximax or minimin) criterion: Here, the decision maker triesto
achieve the largest possible profit (Maximax) or minimum possible cost(minimin).
If the entries in the payoff matrix are the one which the decisionmaker wants
as large as possible, for example, profits or sales revenue,he/she selects the
alternative that represents the maximum of the maximumpayoff. In case where the
entries of the payoff matrix are one which thedecision maker wants as small as
possible, he/she goes for the minimum
Q 3.
a. Explain the importance and utility of the
replacement model in business organizations.
b. There are six jobs, each of which must go through
two machines A and B in the order AB. The processing time of machines (in
hours) is given in Table
Determine a sequence for the six jobs that will
minimise the elapsed time. Also calculate the idle time for Machine A &
Machine B.
Importance and utility of the replacement model 4
Optimal Sequence 2
Total Ellapsed Time 2
Idle time for Machine A 1
Idle time for Machine B
1
Answer:
a) Importance and utility of the replacement model:
In an organisation, replacement
problems arise when fixed assets, such as machines, equipment, and other tools,
need to be replaced due to reduced efficiency, failure or breakdown. Sometimes,
replacement takes place when more efficient equipment is available in the
market or the maintenance of the existing equipment is incurring a huge cost on
an organisation. However, an organisation needs to
b)
|
Job
|
1
|
2
|
3
|
4
|
5
|
6
|
|
Machine
`M_1`
|
12
|
20
|
8
|
16
|
7
|
14
|
|
Machine
`M_2`
|
9
|
12
|
7
|
14
|
13
|
8
|
1. The smallest processing time is 7 hour for job 3 on Machine-2. So job 3 will be processed last.
2. The next smallest processing time is 7 hour for job 5 on Machine-1. So job 5 will be processed first.
3. The next smallest processing time is 8 hour for job 6 on Machine-2. So job 6 will be processed before job 3.
4. The next smallest processing time is 9 hour for job 1 on
Dear
students get fully solved assignments
Send
your semester & Specialization name to our mail id :
help.mbaassignments@gmail.com
or
call
us at : 08263069601
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.