1.
a) Explain phases of operations research. [2M]
b) State the characteristics of transportation problem. [2M]
c) What is present worth factor and state its importance in replacement? [2M]
d) What are the characteristics of game theory? [3M]
e) Discuss about types of inventory models. [3M]
f) What are the types of simulation languages? [2M]
2.
Click here to join us on Social Media for getting instant update on every noticea) Solve the following linear programming problem by simplex method? Maximize Z=5X1+3X2 subject to constraints 3X1+5X2 ≤ 15, 5X1+2X2 ≤ 10 and X1, X2 ≥ 0. [7M]
b) Solve the following linear programming problem by Big-M method? Maximize Z=X1+2X2+3X3-X4 and subject to constraints X1+2X2+3X3=15, 2X1+X2+5X3=20, X1+2X2+X3+X4=10 and X1,X2,X3,X4≥ 0.
|
F1 |
F2 |
F3 |
Supply |
W1 |
2 |
7 |
4 |
5 |
W2 |
3 |
3 |
1 |
8 |
W3 |
5 |
4 |
7 |
7 |
W4 |
1 |
6 |
2 |
14 |
Demand |
7 |
9 |
18 |
|
4 |
6 |
7 |
5 |
11 |
7 |
3 |
6 |
9 |
5 |
8 |
5 |
4 |
6 |
9 |
9 |
12 |
7 |
11 |
10 |
7 |
5 |
9 |
8 |
11 |
Year |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Mainte |
|
|
|
|
|
|
|
|
nance cost in Rs. |
900 |
1200 |
1600 |
2100 |
2800 |
3700 |
4700 |
5900 |
Resale |
|
|
|
|
|
|
|
|
price in Rs. |
4000 |
2000 |
1200 |
600 |
500 |
400 |
400 |
400 |
Player A |
|
Player B |
|
|
B1 |
B2 |
B3 |
B4 |
|
A1 |
2 |
2 |
3 |
-2 |
A2 |
4 |
3 |
2 |
6 |
shortage quantity iv) Cycle time v) Inventory period(t1) vi) Shortage period(t2)
industry needs a particular type of gear within the factory. This gear is used in the final assembly. The particulars of this gear are: demand rate(r) is 14,000
units/year, production rate (k) is 35,000 units/year, set-up cost (Co) is 500 per set-up and carrying cost is 15/unit/year. Find the economic batch quantity, period of production, period of consumption, cycle time and number of set-ups per year?
No. of crates |
Store A |
Store B |
Store C |
0 |
0 |
0 |
0 |
1 |
25 |
20 |
33 |
2 |
42 |
38 |
43 |
3 |
55 |
54 |
47 |
4 |
63 |
65 |
50 |
5 |
69 |
73 |
52 |
6 |
74 |
80 |
53 |
Explain the advantages, disadvantages and applications of simulation.