Show by example that under an EDF priority assignment, there can exist a point in time t and an integer L during the execution of a schedulable synchronous task set (with relative deadlines equal to periods), such that D[t, t + L] < £1E i=1 Ci
Show by example that under an EDF priority assignment, there can exist a point in time t and an integer L during the execution of a schedulable synchronous task set (with relative deadlines equal to periods), such that D[t, t + L] < £1E i=1 Ci
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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A Real Time System Problem
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![**Title: Understanding EDF Priority Assignment and Task Scheduling**
**Text:**
In this section, we explore a specific scenario in the domain of real-time computing, focusing on Earliest Deadline First (EDF) priority assignments.
The aim is to illustrate, through an example, that within a schedulable synchronous task set (where relative deadlines match periods), there may be instances at a specific time \( t \) and for a given integer \( L \) where the following inequality holds:
\[
D[t, t + L] \leq \sum_{i=1}^{n} \left\lfloor \frac{L}{p_i} \right\rfloor c_i
\]
Here, \( D[t, t + L] \) denotes the demand from time \( t \) to \( t + L \), \( p_i \) represents the period of task \( i \), and \( c_i \) denotes the computation time of task \( i \).
The goal is to demonstrate that equation (1) may not remain valid for all time intervals under an EDF priority assignment, especially those intervals that do not start at time 0. The reiteration of the inequality is as follows:
\[
D[t, t + L] \leq \sum_{i=1}^{n} \left\lfloor \frac{L}{p_i} \right\rfloor c_i \quad (1)
\]
This analysis is crucial for understanding the boundaries and constraints of EDF scheduling within real-time systems.
**Note:** There are no graphs or diagrams in the provided text.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf39397d-cff1-4eb1-98e5-06c79e9fa8b7%2Fcd115d2b-1f50-49bc-8b20-69a30f89341b%2Fspmrx8b_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Understanding EDF Priority Assignment and Task Scheduling**
**Text:**
In this section, we explore a specific scenario in the domain of real-time computing, focusing on Earliest Deadline First (EDF) priority assignments.
The aim is to illustrate, through an example, that within a schedulable synchronous task set (where relative deadlines match periods), there may be instances at a specific time \( t \) and for a given integer \( L \) where the following inequality holds:
\[
D[t, t + L] \leq \sum_{i=1}^{n} \left\lfloor \frac{L}{p_i} \right\rfloor c_i
\]
Here, \( D[t, t + L] \) denotes the demand from time \( t \) to \( t + L \), \( p_i \) represents the period of task \( i \), and \( c_i \) denotes the computation time of task \( i \).
The goal is to demonstrate that equation (1) may not remain valid for all time intervals under an EDF priority assignment, especially those intervals that do not start at time 0. The reiteration of the inequality is as follows:
\[
D[t, t + L] \leq \sum_{i=1}^{n} \left\lfloor \frac{L}{p_i} \right\rfloor c_i \quad (1)
\]
This analysis is crucial for understanding the boundaries and constraints of EDF scheduling within real-time systems.
**Note:** There are no graphs or diagrams in the provided text.
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