1.THE BANKER'S ALGORITHM FOR A SINGLE RESOURCE o It is modeled on the way a small-town banker might deal with a group of customers to whom he has granted lines of credit. What the algorithm does is check to see if granting the request leads to an unsafe state. If it does, the request is denied. If granting the request leads to a safe state, it is carried out. In Fig. (a) we see four customers. A, B, C and D, each of whom has been granted a certain number of credit units. The banker knows that not all customers will need their maximum credit immediately, so he has reserved only 10 units rather than 22 to service them. (In this analogy, customers are processes, units are, say, tape drives, and the banker is the operating system.) Has Max 0 6 05 0 4 0 7 Free: 10 Free: 2 (a) (b) cation states: (a) Safe. (b) Safe (c) Unsafe. A B C D Has Max A B 1 C 2 D 4 1 65 4 7 A30 B Has Max 6 5 4 4 7 <-1 2 C 2 D Free: 1 (c)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Operating systems How to calculate the safe and unsafe state of this figure a,b,c What step I should do first then and short cut calculation o?
1.THE BANKER'S ALGORITHM FOR A
SINGLE RESOURCE
o It is modeled on the way a small-town banker might deal with a
group of customers to whom he has granted lines of credit. What the
algorithm does is check to see if granting the request leads to an
unsafe state. If it does, the request is denied. If granting the request
leads to a safe state, it is carried out. In Fig. (a) we see four
customers. A, B, C and D, each of whom has been granted a ceain
number of credit units. The banker knows that not all customers will
need their maximum credit immediately, so he has reserved only 10
units rather than 22 to service them. (In this analogy, customers are
processes, units are, say, tape drives, and the banker is the operating
system.)
A
B
C
D
Has Max
0 6
0
5
0
4
0
7
A
B
C
D
Has Max
1
6
5
4
7
=
1
2
4
Free: 10
Free: 2
(a)
(b)
cation states: (a) Safe. (b) Safe (c) Unsafe.
A
BUD
Has Max
1 6
2
5
2
4
4
7
Free: 1
Ⓒ
38
Transcribed Image Text:1.THE BANKER'S ALGORITHM FOR A SINGLE RESOURCE o It is modeled on the way a small-town banker might deal with a group of customers to whom he has granted lines of credit. What the algorithm does is check to see if granting the request leads to an unsafe state. If it does, the request is denied. If granting the request leads to a safe state, it is carried out. In Fig. (a) we see four customers. A, B, C and D, each of whom has been granted a ceain number of credit units. The banker knows that not all customers will need their maximum credit immediately, so he has reserved only 10 units rather than 22 to service them. (In this analogy, customers are processes, units are, say, tape drives, and the banker is the operating system.) A B C D Has Max 0 6 0 5 0 4 0 7 A B C D Has Max 1 6 5 4 7 = 1 2 4 Free: 10 Free: 2 (a) (b) cation states: (a) Safe. (b) Safe (c) Unsafe. A BUD Has Max 1 6 2 5 2 4 4 7 Free: 1 Ⓒ 38
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