Transportation Problems
Assignment II (Part – D)
Transshipment Problems
Q1. Consider the following transshipment
problem with two sources and two destination, the costs for shipment in rupees
one given below. Determine the shipping schedule:
|
|
S1
|
S2
|
D1
|
D2
|
Supply
|
|
S1
|
4
|
3
|
1
|
2
|
5
|
|
S2
|
5
|
2
|
3
|
4
|
25
|
|
D1
|
3
|
5
|
6
|
3
|
|
|
D2
|
2
|
4
|
4
|
5
|
|
|
Demand
|
|
|
20
|
10
|
|
Q2. Consider a firm having two factories. The
firm is to ship its products form the factory to three-retail stores. The
number of units available at factories X and Y are 200 & 300 respectively.
While those demanded at retail stores A B & C are 100, 150 & 250 respectively.
Rather than shipping directly form factories to retail stores, it is asked to
investigate the possibility of transshipment. The transportation cost per unit
is given in the table
|
|
Factory
|
Retail Store
|
|
||||
|
Factory
|
|
X
|
Y
|
A
|
B
|
C
|
Available
|
|
X
|
0
|
8
|
7
|
8
|
9
|
200
|
|
|
Y
|
6
|
0
|
5
|
4
|
3
|
300
|
|
|
Retail
Store
|
A
|
7
|
2
|
0
|
5
|
1
|
|
|
B
|
1
|
5
|
1
|
0
|
4
|
|
|
|
|
C
|
8
|
9
|
7
|
8
|
0
|
|
|
|
Requirement
|
|
|
100
|
150
|
250
|
|
Answer: XX-500, XA-100, XB-100,
YY-500, YB-50, YC-250, AA-500, BB-500, CC-500
Q3. Consider the following transshipment
problem with two sources and three destinations, the cost for shipments is
given below. Determine the optimal shipping schedule.
|
Sources
|
Source
|
Destination
|
|
||||
|
|
S1
|
S2
|
D1
|
D2
|
D3
|
Supply
|
|
|
S1
|
0
|
80
|
10
|
20
|
30
|
100+300
|
|
|
S2
|
10
|
0
|
20
|
50
|
40
|
200+300
|
|
|
Destination
|
D1
|
20
|
30
|
0
|
4
|
10
|
300
|
|
D2
|
40
|
20
|
10
|
0
|
20
|
300
|
|
|
D3
|
60
|
70
|
80
|
20
|
0
|
300
|
|
|
Demand
|
300
|
300
|
100
+
300
|
100
+
300
|
100
+
300
|
|
|
No comments:
Post a Comment