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Mathematics
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Practical Purposes
Quiz 3: Planning and Scheduling
Path 4
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Question 21
Multiple Choice
Given the order-requirement digraph below (with time given in minutes) and the priority list T
1
, T
4
, T
5
, T
2
, T
3
, T
6
, apply the list-processing algorithm to construct a schedule using two processors. How much time does the resulting schedule require?
Question 22
Short Answer
Find the chromatic number of the graph below:
Question 23
Multiple Choice
Given the order-requirement digraph below (with time given in minutes) and the priority list T
1
, T
2
, T
3
, T
4
, T
5
, T
6
, apply the list-processing algorithm to construct a schedule using two processors. How much time does the resulting schedule require?
Question 24
Short Answer
What is the chromatic number of the complete graph on six vertices?
Question 25
Short Answer
What is the minimum time to complete 12 independent tasks on four processors when the sum of all the times of the 12 tasks is 60 minutes?
Question 26
Essay
-Use the next-fit (NF) bin-packing algorithm to pack the following weights into bins that can hold no more than 10 lbs. 1 lb, 2 lbs, 2 lbs, 7 lbs, 8 lbs, 5 lbs, 8 lbs, 4 lbs, 10 lbs, 6 lbs
Question 27
Essay
Use the order requirement digraph below (with time given in minutes) and the priority list T
1
, T
2
, T
3
, T
4
, T
5
, T
6
, T
7
, T
8
to answer the following Questions
-Apply the list-processing algorithm to construct a schedule using two processors.
Question 28
Multiple Choice
Given the order-requirement digraph below (with time given in minutes) and the priority list T
1
, T
2
, T
3
, T
4
, T
5
, T
6
, apply the list-processing algorithm to construct a schedule using two processors. How much time does the resulting schedule require?
Question 29
Short Answer
Find the chromatic number of the graph below:
Question 30
Essay
Use the order requirement digraph below (with time given in minutes) and the priority list T
1
, T
2
, T
3
, T
4
, T
5
, T
6
, T
7
, T
8
to answer the following Questions
-Apply the critical-path scheduling algorithm to construct a schedule using three processors.
Question 31
Short Answer
Find the chromatic number of the graph below:
Question 32
Multiple Choice
Given the order-requirement digraph below (with time given in minutes) and the priority list T
1
, T
2
, T
3
, T
4
, T
5
, T
6
, apply the list-processing algorithm to construct a schedule using two processors. How much time does the resulting schedule require?
Question 33
Short Answer
Use the decreasing-time-list algorithm to schedule these tasks on three machines: 7, 2, 5, 3, 9, 1, 6, 5, 3, 7 (time in minutes). How much time does the resulting schedule require?
Question 34
Essay
Use the order requirement digraph below (with time given in minutes) and the priority list T
1
, T
2
, T
3
, T
4
, T
5
, T
6
, T
7
, T
8
to answer the following Questions
-Apply the list-processing algorithm to construct a schedule using three processors.
Question 35
Multiple Choice
Given the order-requirement digraph below (with time given in minutes) and the priority list T
1
, T
2
, T
3
, T
4
, T
5
, T
6
, T
7
, T
8
, apply the list-processing algorithm to construct a schedule using two processors. How much time does the resulting schedule require?
Question 36
Short Answer
Compare the first-fit (FF) and first-fit decreasing (FFD) bin-packing algorithms in packing the following weights into bins that can hold no more than 10 lbs. 3 lb, 8 lbs, 5 lbs, 7 lbs, 5 lbs, 5 lbs, 8 lbs, 4 lbs, 10 lbs, 6 lbs