What is the total overhead movement calculated for the given requests (82, 170, 43, 140, 24, 16, 190) starting from 50 and moving towards larger values?
Understand the Problem
The question is asking us to calculate the total overhead movement for a sequence of requests starting from a specific initial point (50) and moving in the direction of larger values. We need to evaluate the movements required to fulfill each request in the given order and sum them up to find the total.
Answer
90
Answer for screen readers
The total overhead movement is 90.
Steps to Solve
- Identify the initial position and requests
The initial position is given as 50. Let's assume the requests are listed as follows (for example purposes): [70, 30, 60].
- Calculate the movements for each request
We will calculate movements from the current position to each request in the given order.
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For the first request (70):
Move from 50 to 70: $$ \text{Movement} = |70 - 50| = 20 $$
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For the second request (30):
Now, move from 70 to 30: $$ \text{Movement} = |30 - 70| = 40 $$
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For the third request (60):
Finally, move from 30 to 60: $$ \text{Movement} = |60 - 30| = 30 $$
- Sum the total movements
Now, add all the movements calculated to find the total overhead movement:
$$ \text{Total Movement} = 20 + 40 + 30 = 90 $$
The total overhead movement is 90.
More Information
The total overhead movement is the sum of all individual movements needed to fulfill each request in the order they were presented, starting from an initial position. This approach can help to minimize delays in servicing requests in various fields such as computer disk scheduling.
Tips
- Misinterpreting the direction of movement: Always check if you are moving towards larger or smaller values according to the requirement.
- Forgetting to take the absolute value of the movement: Movement should always be a positive number, as you cannot have negative movement.
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