industrial gas supplier every day supplies gas acturing particular day, the company has received following orders from 6 companies that they need to fulfill using their fleet of tankers each with a capacity of 100 units. Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Demand (Units) Node 0 Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 30 40 37 52 45 60 31 Table below gives the distances (in Miles) between the companies central depot (Node 0) and the ix customers (Node1, Node 2.....Node 6). Node 0 Node 1 Node 2 30 40 27 27 21 29 26 20 20 38 20 10 30 32 40 30 27 42 Node 3 Node 4 Node 5 Node 6 37 31 21 20 38 32 42 28 39 52 30 29 20 30 26 28 60 26 40 30 27 26 39 (a) Use the sequential version of Savings algorithm to develop vehicle route that minimizes total distance travelled. (b) Use the parallel version of Savings algorithm to develop vehicle route that minimizes total distance travelled. How does this solution compare to one obtained in part (a)? Which in hotter?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section: Chapter Questions
Problem 17RP
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An industrial gas supplier every day supplies gas to its local manufacturing companies. On a
particular day, the company has received following orders from 6 companies that they need to
fulfill using their fleet of tankers each with a capacity of 100 units.
Node 1 Node 2 Node 3 Node 4 Node 5 Node 6
Demand
(Units)
40
Table below gives the distances (in Miles) between the companies central depot (Node 0) and the
six customers (Node1, Node 2.....Node 6).
Node 0 Node 1 Node 2
30
40
27
Node 0
Node 1
Node 2
Node 3
Node 4
Node 5
Node 6
30
40
37
52
60
31
45
27
21
29
26
20
20
38
20
30
32
10
Node 3 Node 4 Node 5
37
52
29
20
30
21
38
30
27
42
30
26
28
60
26
30
27
26
40
39
Node 6
31
20
32
42
28
39
(a) Use the sequential version of Savings algorithm to develop vehicle route that minimizes
total distance travelled.
(b) Use the parallel version of Savings algorithm to develop vehicle route that minimizes
total distance travelled. How does this solution compare to one obtained in part (a)?
Which one is better?
Transcribed Image Text:An industrial gas supplier every day supplies gas to its local manufacturing companies. On a particular day, the company has received following orders from 6 companies that they need to fulfill using their fleet of tankers each with a capacity of 100 units. Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Demand (Units) 40 Table below gives the distances (in Miles) between the companies central depot (Node 0) and the six customers (Node1, Node 2.....Node 6). Node 0 Node 1 Node 2 30 40 27 Node 0 Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 30 40 37 52 60 31 45 27 21 29 26 20 20 38 20 30 32 10 Node 3 Node 4 Node 5 37 52 29 20 30 21 38 30 27 42 30 26 28 60 26 30 27 26 40 39 Node 6 31 20 32 42 28 39 (a) Use the sequential version of Savings algorithm to develop vehicle route that minimizes total distance travelled. (b) Use the parallel version of Savings algorithm to develop vehicle route that minimizes total distance travelled. How does this solution compare to one obtained in part (a)? Which one is better?
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