COMPUTER SYSTEMS >CUSTOM<
16th Edition
ISBN: 9781323313015
Author: Bryant
Publisher: PEARSON C
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Chapter 1.9, Problem 1.2PP
Program Plan Intro
Amdahl’s Law:
- It denotes an observation on effectiveness of performance improving of a system part.
- The main idea is that when one system part is been speed up the effect on overall system would depend on significance and speed up of the part.
- Suppose the execution of an application needs “Told” time.
- Some part of system may require a fraction “α” of this time and the performance is improved by a factor of “k”.
- The overall execution time will be “
- The speed up can be computed as “
- Hence, the expression for speed up is “
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3. The diagram below shows the main land routes for vehicular traffic between points A and G in a city. The figures in the arcs represent the cost of traveling between each pair of nodes.
a) Manually apply Dijkstra's algorithm to find the cheapest route between A and G (visited nodes and total distance).
b) Formulate a linear programming problem in extended form, to determine the shortest route to travel from A to G. Do not use subscripts, name 14 variables, for example XFE would be the variable that indicates that the arc from F to E is used.
c) If there is a fixed cost for visiting each node, modify the formulation of the problem to include said fixed cost in the objective function, and the variables and restrictions that are required.
NODE
A
B
C
D
E
F
G
FIXED COST
25
18
32
20
28
18
34
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COMPUTER SYSTEMS >CUSTOM<
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