The goal of this problem is to optimize the travelling time of ten (10) workers to deliver packages to the ten (10) distribution centres. In solving this problem, two conditions must be met as follows: 1. Only one distribution centre is assigned to one employee. 2. Each employee is assigned to exactly one distribution centre. Questions 1. Name an appropriate method or model, which can be used to solve this problem. 2. Use the method/model that you recommended in response to Question 1. (above) to assign each worker to one (1) distribution centre. 3. Prepare and present a table indicating the assignment of each employee to a distribution

MATLAB: An Introduction with Applications
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Table 1.1 (below) is a record of the travelling times of the time taken for ten (10) employees to deliver
packages, to ten (10) of their distribution centres in Trinidad. These centres are located in Chaguanas
(I), Arima (II), Sangre Grande (III), Princes Town (IV), Manzanilla (V), Rio Claro (VI), San Juan
(VII), Point Fortin(VIII), San Fernando (IX) and Port of Spain (X).
Worker
Worker 1
Worker 2
Worker 3
Worker 4
Worker 5
Worker 6
Worker 7
Worker 8
Worker 9
Worker 10
I
26
30
29
26
29
27
25
30
25
25
II
40
45
30
32
37
37
42
41
41
40
Table 1.1 - Employee Travelling time (minutes)
III
27
30
20
25
27
30
30
26
29
23
IV
35
32
32
30
31
30
35
28
36
30
V
39
35
30
36
35
36
30
30
40
38
Area
VI
70
75
83
80
85
90
69
87
90
88
VII
30
30
34
29
27
30
34
28
30
32
VIII
75
79
80
75
76
69
66
67
78
68
IX
63
62
62
60
60
57
58
58
60
62
X
30
32
30
29
30
35
36
37
34
28
Transcribed Image Text:Table 1.1 (below) is a record of the travelling times of the time taken for ten (10) employees to deliver packages, to ten (10) of their distribution centres in Trinidad. These centres are located in Chaguanas (I), Arima (II), Sangre Grande (III), Princes Town (IV), Manzanilla (V), Rio Claro (VI), San Juan (VII), Point Fortin(VIII), San Fernando (IX) and Port of Spain (X). Worker Worker 1 Worker 2 Worker 3 Worker 4 Worker 5 Worker 6 Worker 7 Worker 8 Worker 9 Worker 10 I 26 30 29 26 29 27 25 30 25 25 II 40 45 30 32 37 37 42 41 41 40 Table 1.1 - Employee Travelling time (minutes) III 27 30 20 25 27 30 30 26 29 23 IV 35 32 32 30 31 30 35 28 36 30 V 39 35 30 36 35 36 30 30 40 38 Area VI 70 75 83 80 85 90 69 87 90 88 VII 30 30 34 29 27 30 34 28 30 32 VIII 75 79 80 75 76 69 66 67 78 68 IX 63 62 62 60 60 57 58 58 60 62 X 30 32 30 29 30 35 36 37 34 28
The goal of this problem is to optimize the travelling time of ten (10) workers to deliver packages to
the ten (10) distribution centres. In solving this problem, two conditions must be met as follows:
1. Only one distribution centre is assigned to one employee.
2. Each employee is assigned to exactly one distribution centre.
Questions
1. Name an appropriate method or model, which can be used to solve this problem.
2.
Use the method/model that you recommended in response to Question 1.(above) to assign
each worker to one (1) distribution centre.
3. Prepare and present a table indicating the assignment of each employee to a distribution
centre (please use the names of the respective distribution centres in this table).
Transcribed Image Text:The goal of this problem is to optimize the travelling time of ten (10) workers to deliver packages to the ten (10) distribution centres. In solving this problem, two conditions must be met as follows: 1. Only one distribution centre is assigned to one employee. 2. Each employee is assigned to exactly one distribution centre. Questions 1. Name an appropriate method or model, which can be used to solve this problem. 2. Use the method/model that you recommended in response to Question 1.(above) to assign each worker to one (1) distribution centre. 3. Prepare and present a table indicating the assignment of each employee to a distribution centre (please use the names of the respective distribution centres in this table).
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