The document discusses deadlocks in operating systems. It begins by providing examples of deadlock situations and defining the four conditions required for deadlock: mutual exclusion, hold and wait, no preemption, and circular wait. It then describes methods for handling deadlocks, including deadlock prevention, avoidance, detection, and recovery. For prevention and avoidance, it discusses specific algorithms like the banking algorithm and resource allocation graphs. The document provides examples and diagrams to illustrate deadlock states and algorithms.

1. 6. Deadlock
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Mr. S. V. Viraktamath
Dept of E&CE,
SDMCT, Dharwad
svvitc2011@gmail.com

2. Deadlock
Deadlock - System model, Deadlock
characterization, Methods for handling
deadlocks - Deadlock prevention, deadlock
avoidance, Deadlock detection and solution for
deadlock.
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3. Diagram of process state.
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4. Deadlock
• Multiprogramming ? – many processes –few
resources.
• States of processes –Ready-Run-Wait.
• Def:A set of blocked processes each holding a
resource and waiting to acquire a resource held
by another process in the set.
• Ex. When two trains approach each other.
• We describe methods that an operating system
can use to prevent or deal with deadlocks
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5. The Deadlock Problem
• Example
– System has 2 disk drives.
– P1 and P2 each hold one disk drive and each needs
another one.
• Example
– semaphores A and B, initialized to 1
P0 P1
wait (A); wait(B)
wait (B); wait(A)
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6. Bridge Crossing Example
• Traffic only in one direction.
• Each section of a bridge can be viewed as a resource.
• If a deadlock occurs, it can be resolved if one car backs
up (preempt resources and rollback).
• Several cars may have to be backed up if a deadlock
occurs.
• Starvation is possible.
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7. Real time Deadlocks
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8. Real time Deadlocks
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9. Deadlock Condition
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10. 11/22/2015 SDM SVV OS 10
Deadlock in relationships is a part of boredom, stress and unmet expectations. For
example, Deadlock can occur in a situation when a girl1 is wanting for a guy2, who is
acquired by another girl2, and girl2 is wanting for a guy1 that is acquired by girl1. Since,
both girls are waiting for each other to release the guy, the condition is called deadlock.

11. Example
• You can't get a job without experience;
you can't get experience without a job.
• ºÀÄZÀÄÑ ©qÀ®Ý ªÀÄzsÀÄªÉ DUÀĪÀ¢®è; ªÀÄzsÀĪÉ
DUÀ®Ý ºÀÄZÀÄÑ ©qÉÆ¢®è
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12. System Model
• Resource types R1, R2, . . ., Rm
CPU cycles, memory space, I/O devices
• Each resource type Ri has Wi instances.
• Each process utilizes a resource as follows:
– request
– use
– release
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13. Deadlock Characterization
1. Mutual exclusion: only one process at a time
can use a resource.
2. Hold and wait: a process holding at least one
resource is waiting to acquire additional
resources held by other processes.
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Deadlock can arise if four conditions hold simultaneously.

14. Deadlock Characterization
3. No preemption: a resource can be released
only voluntarily by the process holding it, after
that process has completed its task.
4. Circular wait: there exists a set {P0, P1, …,
Pn} of waiting processes such that P0 is
waiting for a resource that is held by P1, P1 is
waiting for a resource that is held by P2, …,
Pn–1 is waiting for a resource that is held by
Pn, and Pn is waiting for a resource that is held
by P0.
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Deadlock can arise if four conditions hold simultaneously.

15. Deadlock Characterization
MHNC
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16. Resource allocation graph
• Why u plot Freq Response?
• Cricket results why graphs/plots???
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17. Resource-Allocation Graph
• V is partitioned into two types:
– P = {P1, P2, …, Pn}, the set consisting of all the
processes in the system.
– R = {R1, R2, …, Rm}, the set consisting of all
resource types in the system.
• Request edge – directed edge P1  Rj
• Assignment edge – directed edge Rj  Pi
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A set of vertices V and a set of edges E.

18. Resource-Allocation Graph (Cont.)
• Process
• Resource Type with 4 instances
• Pi requests instance of Rj
• Pi is holding an instance of Rj
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Pi
Pi

19. Example of a Resource Allocation Graph
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P={P1,P2,P3}
R={R1,R2,R3,R4}
E={P1R1, P2R3,R1P1,R3P3,R2P1,R2P2}

20. Example of a Resource Allocation Graph
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Instances R1=1, R2=2, R3=1, R4=3
Process states: P1 holding R2 and is waiting for an
instance of resource type R1, similarly P2, P3

21. Resource Allocation Graph With A Deadlock
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22. Graph With A Cycle But No Deadlock
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Is there any Deadlock?

23. Basic Facts
• If graph contains no cycles  no deadlock.
• If graph contains a cycle 
– if only one instance per resource type, then
deadlock.
– if several instances per resource type, possibility of
deadlock.
•
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24. Summary
• Examples-deadlock
• Four conditions for deadlock
– M H N C
• Resource allocation graph?
• Cycle
– No cycle – 100% no deadlock
– Cycle
• Single instances – 100% Deadlock
• Many instances – Possibility of deadlock
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25. Methods for Handling Deadlocks
• Ensure that the system will never enter a
deadlock state.
• Allow the system to enter a deadlock state and
then recover.
• Ignore the problem and pretend that deadlocks
never occur in the system; used by most
operating systems, including UNIX.
•
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26. Deadlock Prevention
• Four conditions for Deadlock
– Mutual exclusion
– Hold and wait
– No preemption
– Circular wait
• Prevent Deadlock Ensure that at least one
of these cannot hold (any one is false)
• Prevention is better than cure
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27. Deadlock Prevention
• Mutual Exclusion –This condition must hold for
non-sharable resources. Ex. Printer. Read only
files No need to wait for access. To make this
false all resources should be sharable.
• Hold and Wait –Protocols, (No wait/ No Hold)
• Process must request all resources and be
allocated. (No wait)
• Must guarantee that whenever a process requests
a resource, it does not hold any other resources.
(No Hold)
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28. Deadlock Prevention
• Ex. Copy data from Tape drive to disc, sorts
the disk file and then prints result to a printer.
• No wait: Request Tape drive, Disk file and
printer.
• No Hold: Request Tape drive and disk file,
Release resources, again request disk file and
printer.
• Dis: Protocol 1 Resource Utilization is less.
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29. Deadlock Prevention
• No Preemption –
– If a process that is holding some resources requests
another resource that cannot be immediately
allocated to it, then all resources currently being
held are released.
– Preempted resources are added to the list of
resources for which the process is waiting.
– Process will be restarted only when it can regain
its old resources, as well as the new ones that it is
requesting.
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30. Deadlock Prevention
• Circular Wait – impose a total ordering of all
resource types, and require that each process
requests resources in an increasing order of
enumeration.
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31. – Ex Tape drive -1; Disk drive-5 and Printer -9 Each
process can request resources in increasing order.
– 1:The process can request instance of resource
type rj iff F(Rj)>F(Ri). (Ri –is holding resources)
– 2:Whenever Pi req for Rj, it has released any
resources Ri such that F(Ri)>=F(Rj).
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F(tapedrive)=1
F(disk drive)=5
F(printer)=9

32. Deadlock Avoidance
• Deadlock prevention side effect– Low device
utilization and reduced system through put.
• Alternative Method—Require additional
information about how resources are to be
requested.
• Ex. P1 req R1 then R2 and P2 req R2 then R1
possible to avoid deadlock.
• Deadlock avoidance algorithm dynamically
examines resource allocation state to ensure
that there is no circular wait.
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33. Deadlock Avoidance
• Safe State: A system is in safe state if there
exists a safe sequence.
• When a process requests an available resource,
system must decide if immediate allocation leaves
the system in a safe state. (Budget Plan/Bank)
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34. • Safe sequence
– If Pi resource needs are not immediately available,
then Pi can wait until all Pj have finished.
– When Pj is finished, Pi can obtain needed
resources, execute, return allocated resources, and
terminate.
– When Pi terminates, Pi +1 can obtain its needed
resources, and so on.
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35. Basic Facts
• If a system is in safe state  no deadlocks.
• If a system is in unsafe state  possibility of
deadlock.
• Avoidance  ensure that a system will never
enter an unsafe state.
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36. Safe, Unsafe , Deadlock State
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37. Safe sequence
• Ex.
• Is there any safe sequence?
• 3p15 P0 10 P2 12
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Process Max.
Needs
Holding Current
Needs
Total Available
P0 10 5 5 12 3
P1 4 2 2
P2 9 2 2

38. Safe sequence
• Ex.
• Is there any safe sequence?
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Process Max.
Needs
Holding Current
Needs
Total Available
P0 10 5 5 12 2
P1 4 2 2
P2 9 3 2

39. Avoidance algorithms
• Single instance of a resource type. Use a
resource-allocation graph
• Multiple instances of a resource type. Use the
banker’s algorithm (Not bakery Algorithm)
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40. Resource-Allocation Graph Scheme
• Claim edge Pi  Rj indicated that process Pi may
request resource Rj; represented by a dashed line.
• Claim edge converts to request edge when a
process requests a resource.
• Request edge converted to an assignment edge
when the resource is allocated to the process.
• Resources must be claimed a priori in the system.
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41. Resource-Allocation Graph
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42. Unsafe State In Resource-Allocation Graph
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43. Resource-Allocation Graph Algorithm
• Suppose that process Pi requests a resource Rj
• The request can be granted only if converting
the request edge to an assignment edge does
not result in the formation of a cycle in the
resource allocation graph
•
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44. Banker’s Algorithm
• Multiple instances.
• Each process must a priori claim maximum
use.
• When a process requests a resource it may
have to wait.
• When a process gets all its resources it must
return them in a finite amount of time.
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45. Data Structures for the Banker’s Algorithm
• Available: Vector of length m. If available [j] = k,
there are k instances of resource type Rj available.
• Max: n x m matrix. If Max [i,j] = k, then process
Pi may request at most k instances of resource
type Rj.
• Allocation: n x m matrix. If Allocation[i,j] = k
then Pi is currently allocated k instances of Rj.
• Need: n x m matrix. If Need[i,j] = k, then Pi may
need k more instances of Rj to complete its task.
Need [i,j] = Max[i,j] – Allocation [i,j].
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Data Structures for the Banker’s Algorithm

46. • Ex.
Allocation Max Available
A B C A B C A B C
P0 0 1 0 7 5 3 3 3 2
P1 2 0 0 3 2 2
P2 . … …..
…
Need
A B C
P0 7 4 3
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47. Safety Algorithm
1.Let Work and Finish be vectors of length m and
n, respectively. Initialize:
Work = Available
Finish [i] = false for i = 0, 1, …, n- 1.
2.Find an i such that both:
(a) Finish [i] = false
(b) Needi  Work
If no such i exists, go to step 4.
3.Work = Work + Allocationi
Finish[i] = true
go to step 2.
4.If Finish [i] == true for all i, then the system is in
a safe state.
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48. Resource-Request Algorithm for Process Pi
Requesti = request vector for process Pi. If
Requesti [j] = k then process Pi wants k
instances of resource type Rj.
When a request for resources is made by process
Pi, the following actions are taken:
1.If Requesti  Needi go to step 2. Otherwise, raise
error condition, since process has exceeded its
maximum claim.
2.If Requesti  Available, go to step 3. Otherwise Pi
must wait, since resources are not available.
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49. 3. Pretend to allocate requested resources to
Pi by modifying the state as follows:
Available = Available – Request;
Allocationi = Allocationi + Requesti;
Needi = Needi – Requesti;
If safe  the resources are allocated to Pi.
If unsafe  Pi must wait, and the old resource-
allocation state is restored
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Find the safe sequence

50. Example of Banker’s Algorithm
• 5 processes P0 through P4;
3 resource types:
A (10 instances), B (5instances), and C (7 instances).
• Snapshot at time T0:
Allocation Max Available? Need?
A B C A B C A B C
P0 0 1 0 7 5 3
P1 2 0 0 3 2 2
P2 3 0 2 9 0 2
P3 2 1 1 2 2 2
P4 0 0 2 4 3 3
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3 3 2
Total 7 2 5

51. Example of Banker’s Algorithm
Allocation Max Available Need=max-Allocation?
A B C A B C A B C
P0 0 1 0 7 5 3
P1 2 0 0 3 2 2
P2 3 0 2 9 0 2
P3 2 1 1 2 2 2
P4 0 0 2 4 3 3
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3 3 2
Total 7 2 5

52. • The content of the matrix Need is defined to be Max –
Allocation.
Need
A B C
P0 7 4 3
P1 1 2 2
P2 6 0 0
P3 0 1 1
P4 4 3 1
• Is the system in a safe state?
• since the sequence < P1, P3, P4, P2, P0> satisfies safety
criteria.
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Available is 3 3 2

53. Example: P1 Request (1,0,2)
• Check that Request  Available (that is, (1,0,2)  (3,3,2) 
true.
Allocation Need Available
A B C A B C A B C
P0 0 1 0 7 4 3 2 3 0
P1 3 0 2 0 2 0
P2 3 0 1 6 0 0
P3 2 1 1 0 1 1
P4 0 0 2 4 3 1
• Executing safety algorithm shows that sequence < P1, P3,
P4, P0, P2> satisfies safety requirement.
• Can request for (3,3,0) by P4 be granted?
• Can request for (0,2,0) by P0 be granted?
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Is the system safe?

54. Deadlock Detection
• If a system does not employ either a deadlock-
prevention or a deadlock avoidance algorithm
– Then a deadlock situation may occur.
• In this environment, the system must provide:
– Detection algorithm
– Recovery scheme
• Two methods
– Single Instance of Each Resource Type
– Several Instances of a Resource Type
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55. Single Instance of Each Resource Type
• Maintain wait-for graph
– Nodes are processes.
– Pi  Pj if Pi is waiting for Pj.
• Periodically invoke an algorithm that searches
for a cycle in the graph. If there is a cycle,
there exists a deadlock.
• An algorithm to detect a cycle in a graph
requires an order of n2 operations, where n is
the number of vertices in the graph.
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56. Resource-Allocation Graph and Wait-for Graph
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Resource-Allocation Graph Corresponding wait-for graph

57. Several Instances of a Resource Type
• Can we use wait for graph – Cycles-to detect
deadlock?
• The algorithm employs several time-varying
data structures that are similar to those used in
the banker's algorithm
• Can you recall those data structures now…
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58. Several Instances of a Resource Type
• Available: A vector of length m indicates the
number of available resources of each type.
• Allocation: An n x m matrix defines the number
of resources of each type currently allocated to
each process.
Request: An n x m matrix indicates the current
request of each process. If Request [ij] = k, then
process Pi is requesting k more instances of
resource type. Rj.
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59. Detection Algorithm
1.Let Work and Finish be vectors of length m
and n, respectively Initialize:
(a) Work = Available
(b)For i = 1,2, …, n, if Allocationi  0, then
Finish[i] = false; otherwise, Finish[i] = true.
2.Find an index i such that both:
(a) Finish[i] == false
(b)Requesti  Work
If no such i exists, go to step 4.
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60. 3.Work = Work + Allocationi
Finish[i] = true
go to step 2.
4.If Finish[i] == false, for some i, 1  i  n, then
the system is in deadlock state. Moreover, if
Finish[i] == false, then Pi is deadlocked.
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Algorithm requires an order of (m x n2)operations to detect
whether the system is in deadlocked state.

61. Example of Detection Algorithm
• Five processes P0 through P4; three resource types
A (7 instances), B (2 instances), and C (6 instances).
• Snapshot at time T0:
Allocation Request Available
A B C A B C A B C
P0 0 1 0 0 0 0 0 0 0
P1 2 0 0 2 0 2
P2 3 0 3 0 0 0
P3 2 1 1 1 0 0
P4 0 0 2 0 0 2
• Is the system in safe state?
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62. Example of Detection Algorithm
• Five processes P0 through P4; three resource types
A (7 instances), B (2 instances), and C (6 instances).
• Snapshot at time T0:
AllocationRequest Available
A B C A B C A B C
P0 0 1 0 0 0 0 0 0 0
P1 2 0 0 2 0 2
P2 3 0 3 0 0 0
P3 2 1 1 1 0 0
P4 0 0 2 0 0 2
• Sequence <P0, P2, P3, P1, P4> will result in Finish[i] =
true for all i.
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63. Example of Detection Algorithm
Allocation Request Available (7 2 6)
A B C A B C A B C
P0 0 1 0 0 0 0 0 0 0
P1 2 0 0 2 0 2
P2 3 0 3 0 0 0
P3 2 1 1 1 0 0
P4 0 0 2 0 0 2
• Sequence <P0,P2,P3-P1, P4> will result in
Finish[i] = true for all i.
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Process completion
P0- 0 1 0
P2-3 1 3
P3-5 2 4
P1-7 2 4
P4-7 2 6

64. • P2 requests an additional instance of type C.
Request
A B C available 0 0 0
P0 0 0 0
P1 2 0 1
P2 0 0 1
P3 1 0 0
P4 0 0 2
• Is the system in safe state?
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65. • P2 requests an additional instance of type C.
Request
A B C
P0 0 0 0
P1 2 0 1
P2 0 0 1
P3 1 0 0
P4 0 0 2
• State of system?
– Can reclaim resources held by process P0, but insufficient
resources to fulfill other processes; requests.
– Deadlock exists, consisting of processes P1, P2, P3, and P4.
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P0- 0 1 0

66. Detection-Algorithm Usage
• When, and how often, to invoke depends on:
– How often a deadlock is likely to occur?
– How many processes will need to be rolled back?
• one for each disjoint cycle
• If detection algorithm is invoked arbitrarily,
there may be many cycles in the resource
graph and so we would not be able to tell
which of the many deadlocked processes
“caused” the deadlock.
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67. Recovery from Deadlock: Process Termination
• Abort all deadlocked processes.
• Abort one process at a time until the deadlock cycle is
eliminated.
• In which order should we choose to abort?
– Priority of the process.
– How long process has computed, and how much longer to
completion.
– Resources the process has used.
– Resources process needs to complete.
– How many processes will need to be terminated.
– Is process interactive or batch?
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68. Recovery from Deadlock: Resource Preemption
• Selecting a victim – minimize cost.
• Rollback – return to some safe state, restart
process for that state.
• Starvation – same process may always be
picked as victim, include number of rollback in
cost factor.
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70. End of Topic Deadlock
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