Vogel's Approximation Method, Unit Cost Penalty Method
Step1
For all row of the table, determine the smallest and the next to smallest cost. Also determine the difference between them for every row. These are known as penalties. Place them aside by enclosing them in the parenthesis against the respective rows. At the same time, compute penalties for each column.
Step 2
Find the row or column with the highest penalty. If a tie takes place then use an arbitrary choice. Assume the largest penalty related to the ith row have the cost cij. Allot the largest possible amount xij = min (ai, bj) in the cell (i, j) and cross either ith row or jth column in the usual manner.
Step 3
Repeat again the calculation of the row and column penalties for the reduced table and then go for step 2. Repeat the process until all the requirements are satisfied or fulfilled.
Determine the initial basic feasible solution with the use of vogel's approximation method
1.
W1
W2
W3
W4
Availability
F1
19
30
50
10
7
F2
70
40
60
9
F3
8
20
18
Requirement
5
14
Answer
Penalty
19-10=9
40-30=10
20-8=12
40-19=21
30-8=22
50-40=10
20-10=10
(19)
(30)
(50)
(10)
(70)
(40)
(60)
8(8)
(20)
18/10
12
8/0
21
22
5(19)
7/2
5/0
X
10(20)
18/10/0
14/4
2(10)
7/2/0
14/4/2
7(40)
2(60)
Initial Basic Feasible Solution
x11 = 5, x14 = 2, x23 = 7, x24 = 2, x32 = 8, x34 = 10
The transportation cost comes out to be 5 (19) + 2 (10) + 7 (40) + 2 (60) + 8 (8) + 10 (20) = Rs. 779
2.
Stores
I
II
III
IV
Warehouse
A
16
15
13
11
B
17
23
C
32
27
41
6
(21)
(16)
(15)
(13)
2
(17)
(18)
(14)
(23)
3
(32)
(27)
(41)
4
1
11(13)
11/0
15/4
4(23)
13/9
15/4/0
6(17)
13/9/3
6/0
3(18)
13/9/3/0
10/7
7(27)
12(18)
x14 = 11, x21 = 6, x22 = 3, x24 = 4, x32 = 7, x33 = 12
The transportation cost comes out to be 11 (13) + 6 (17) + 3 (18) + 4 (23) + 7 (27) + 12 (18) = Rs. 796
theory and lecture notes of data management all along with the key concepts of data management. tutorsglobe offers homework help, assignment help and tutor’s assistance on data management.
When static test (i.e. checking of components when TV is in off position) carried over, power card and cable should be disconnected. High voltage filter capacitors should be discharged, before static test.
www.tutorsglobe.com offers Factory Overheads homework help, assignment help, case study, writing homework help, online tutoring assistance by accounting tutors.
tutorsglobe.com length of stamens assignment help-homework help by online sterile stamen tutors
An easy and most general method to test armature winding for short and open coils is through a growler.
tutorsglobe.com cysticercosis assignment help-homework help by online taenia solium tutors
Metallurgy tutorial all along with the key concepts of Types of Furnaces used, Steps involved in Metallurgical Operations, Ore Dressing, Extraction of Crude metal and Purification of Metals
tutorsglobe.com phosphorus trioxide assignment help-homework help by online compounds of phosphorus tutors
free biology lecture notes, tutorials offer you to promote the understanding of the many various aspects of biology, and is recommended to be used in conjunction with the dictionary to assist with biological terminology
Theory and lecture notes of Protocol for requesting locks on a DAG all along with the key concepts of protocol for requesting locks, Hierarchical locks. Tutorsglobe offers homework help, assignment help and tutor’s assistance on Protocol for requesting locks.
www.tutorsglobe.com offers data objects attributes and relationships homework help, assignment help, case study, writing homework help, online tutoring assistance by computer science tutors.
Morphology of pteridophytes tutorial all along with the key concepts of Characteristics of Pteridophytes, Life cycle of Pteridophytes, Fossilization Process, Type of fossilization, Types of fossils, Petrifaction, Cast or incrustation, Compression
tutorsglobe.com increase and decrease in demand assignment help-homework help by online theory of demand tutors
A report is a vehicle that carrying information. So, good reporting is essential for effective communication. You should know the requisites of a good report.
tutorsglobe.com promoting development in private sector assignment help-homework help by online objectives of fiscal policy tutors
1950838
Questions Asked
3689
Tutors
1486325
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!