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The Mathematics of Scheduling: Directed...
Quiz #2

1 .       Questions 1 through 4 refer to the following digraph.
8m2q1.gif
Vertex C has 



2 .       Vertex D is 



3 .       Which of the following is not a cycle in the digraph? 



4 .       Suppose that the vertices of the digraph represent card players playing in a tournament and the arcs represent matches already played. An arc going from vertex X to vertex Y means that card player X beat card player Y. (No ties are possible in card games.) Which of the following statements [A), B), C), or D)] is not true? 



5 .      

Questions 5 through 9 refer to a digraph with 5 vertices (A, B, C, D, and E) and 7 arcs. A is incident to C and D and incident from B; B is incident from D and E; C is incident to D; and D is incident to E.

Vertex B has 



6 .       Vertex C has 



7 .       How many cycles are there in the digraph that start and end at A



8 .       How many cycles are there in the digraph that start and end at C



9 .       Suppose that the vertices of the digraph represent individuals and there is an arc going from vertex X to vertex Y if and only if X “likes” Y. Which of the following statements [A), B), B), or D)] is not true? 



10 .       Questions 10 through 15 refer to the project digraph in Figure 8.2. (The numbers in parentheses represent hours.)
8m2q10.gif
The number of tasks in the project is 



11 .       The length of the critical path for the entire project is 



12 .       Using the priority list C, F, G, E, B, A, D and the priority-list model to schedule this project with two processors results in a completion time of 



13 .       Using the decreasing time algorithm to schedule this project with two processors results in a completion time of 



14 .       Using the critical path algorithm to schedule this project with two processors results in a completion time of 



15 .       The optimal completion time for this project using two processors is 



Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.





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