Transaction Shipping Approach for Mobile Distributed Real-Time Databases.
ABSTRACT Due to the unpredictability of mobile network, it is difficult to meet transaction deadlines in a mobile distributed real-time database system (MDRDTBS). We propose the idea of transaction shipping to reduce the overheads in processing a transaction over mobile network and in resolving priority inversion. We consider a distributed lock-based real-time protocol, the Distributed High Priority Two Phase Locking (DHP-2PL), to study the impacts of mobile network on real-time data access. A detailed model of a MDRTDBS has been developed, and a series of simulation experiments have been performed to evaluate the performance of our approach.
- SourceAvailable from: citeseerx.ist.psu.edu[Show abstract] [Hide abstract]
ABSTRACT: The demand for efficient, scalable and cost effective mobile information access systems is rapidly growing. Radio frequency broadcast plays a major role in mobile computing, and there is a need to provide service models for broadcasting information according to mobile users' needs. In this paper we present a model called Broadcast on Demand (BoD), which provides timely broadcasts according to requests from users. Compared to static broadcast, this approach has a different emphasis: it is based on a demand driven framework, aimed at satisfying the temporal constraints of the requests, and uses scheduling techniques at the server side to utilize the limited bandwidth dynamically and efficiently. In this paper, several broadcast transmission scheduling policies for BoD are examined. The study indicates that EDF-based policies combined with batching of requests achieve good performance. The results show that BoD is successful in satisfying the temporal constraints of the requests and is a viable service model for wireless broadcast stations.3rd IEEE Real-Time Technology and Applications Symposium (RTAS '97), 9-11 June 1997, Montreal, Canada; 01/1997
Conference Paper: Supporting predictability in real-time database systems[Show abstract] [Hide abstract]
ABSTRACT: Real-time database systems (RTDBSs) have timing constraints in their specifications, such as read times, deadlines and other temporal constraints. In addition, RTDBSs must adapt to changes in the operating environment and guarantee the completion of critical transactions. Previous research efforts in RTDBSs have been focused on scheduling transactions with soft or firm deadlines with serializability as the sole correctness criterion. Few results have been reported for supporting predictable transaction execution and guaranteeing the temporal consistency of data. The goal has been to minimize the deadline miss ratio and to maintain the logical consistency of data. In this paper, we address the issues of predictability and temporal consistency in RTDBSs. We briefly discuss the characteristics and requirements of RTDBSs, and present a transaction processing scheme that supports multiple levels of predictability for real-time transactions. The performance of the proposed scheme and the cost of achieving a high level of predictability is studied by using simulationReal-Time Technology and Applications Symposium, 1996. Proceedings., 1996 IEEE; 07/1996
Conference Paper: Real-time transaction management in mobile computing systems[Show abstract] [Hide abstract]
ABSTRACT: In order to respond to real-time data access requirements of the underlying applications, mobile computing systems need to be supported by real-time DBMSs. In this paper we discuss critical issues related to real-time transaction management in mobile computing systems. We identify some open research problems and suggest directions for future work on possible solution methods. We also present a mobile database system model that takes into account the timing requirements of applications supported by mobile computing systems. We provide a transaction execution model with two alternative execution strategies for mobile transactions and evaluate the performance of the system considering various mobile system characteristicsDatabase Systems for Advanced Applications, 1999. Proceedings., 6th International Conference on; 02/1999
Transaction Shipping Approach for
Mobile Distributed Real-time Databases
Kam-yiu Lam1, Tei-Wei Kuo2, Wai-Hung Tsang1 and Gary C.K Law1
Department of Computer Science1
City University of Hong Kong
83 Tat Chee Avenue, Kowloon
Department of Computer Science and
National Chung Cheng University
Chiayi, 621 Taiwan, ROC
Abstract. Due to the unpredictability of mobile network, it is difficult to meet
transaction deadlines in a mobile distributed real-time database system (MDRDTBS).
We propose the idea of transaction shipping to reduce the overheads in processing a
transaction over mobile network and in resolving priority inversion. We consider a
distributed lock-based real-time protocol, the Distributed High Priority Two Phase
Locking (DHP-2PL), to study the impacts of mobile network on real-time data access. A
detailed model of a MDRTDBS has been developed, and a series of simulation
experiments have been performed to evaluate the performance of our approach.
The realization of “instant” information access over mobile network relies on efficient real-
time transaction processing techniques which are suitable to mobile environments. As a result,
research in mobile distributed real-time database systems (MDRTDBS) is receiving growing
attention in recent years [9,12,13]. However, owing to the intrinsic limitations of mobile
computing systems, such as limited bandwidth and power supply for client systems, frequent
disconnection, and mobility of users, the design of an efficient and cost-effective MDRTDBS
requires techniques that are quite different from those adopted in distributed real-time database
systems (DRTDBS) over a wired network. It is much more difficult to meet transaction
deadlines in a mobile environment. There exist many factors which can seriously affect the
system performance: low communication bandwidth often makes the network be the bottleneck
resource. Mobility of clients also affects the distribution of workload in the entire system.
Disconnection, while a transaction is processing, may even introduce the inconsistency
problem. Such poor quality of mobile network can seriously affect the effectiveness of a
concurrency control protocol in resolving data-access conflicts.
Although different real-time concurrency control protocols have been proposed for single-
site and distributed RTDBS, they are not suitable to MDRTDBS, due to the unique
characteristics of mobile environments. The poor qualify of services provided by mobile
network also seriously increases the overheads of a concurrency control protocol in resolving
data-access conflicts. In this paper, we propose the idea of transaction shipping to process
transactions issued by mobile clients. We aim at reducing the overheads for processing
transactions over a mobile network and for resolving priority inversion. We consider a
distributed lock-based real-time protocol, Distributed High Priority Two Phase Locking (DHP-
2PL), to study the impacts of mobile network on real-time data access, where DHP-2PL is
derived from the well-known High Priority Two Phase Locking (HP-2PL)  for MDRTDBS.
2Model of a Mobile Distributed Real-time Database System
A MDRTDBS consists of four major components: the mobile clients (MC’s), the base
stations, the mobile network, and the main terminal switching office (MTSO) [6,7,9], as shown
in Figure 1. The mobile network is assumed to be a radio cellular network, and the entire
service area is divided into a number of connected cell sites. Within each cell site, there is a
base station which is augmented with a wireless interface to communicate with the MC’s
within its cell site. The cellular radio network is assumed to be the Global Systems for Mobile
Communication (GSM) 900 in which the bandwidth is divided into a number of channels.
The base stations at different cell sites are connected to the MTSO by a point-to-point
wired network. Thus, the communications between the base stations and the MTSO are much
more efficient than the communications between the base stations and their mobile clients. The
MTSO is responsible for active call information maintenance, performance of handoff
procedure, channel allocation, and message routing. Attached to each base station is a real-time
database system containing a local database which may be accessed by transactions issued from
MCs within its cell site or from other cells via the MTSO.
An MC may move around within the same cell site or across the cell border into another
cell site. Periodically, it sends a location signal to its base station through the uplink channel.
The strength of the location signal received by a base station is dependent on several factors,
such as the distance between the MC and the base station, and the surrounding buildings. When
an MC is crossing the cell border, the signal will become very weak. If the signal received by a
base station is lower than a certain threshold level, the MTSO will be notified, and the MTSO
will perform a handoff procedure. It sends out requests to all the base stations, and the base
stations must respond by returning the strength of the location signals received from the MC.
The MTSO will then assign the MC to the base station which has received the strongest signal.
Usually, this is the base station which is responsible for the cell site which the MC is entering.
The processing of an MC transaction may need to access databases at several base stations.
The MC first attempts to issue a call request to the base station of its cell site. A channel is
granted to the MC after the completion of a setup procedure. The execution of the setup
procedure incurs a fixed overhead as it involves communications amongst the MC, the base
stations, and the MTSO. Since the number of channels between a base station and its MC’s is
limited, it is possible that the channel request may be refused due to no free channel available.
The queuing for the channels is based on the priorities of the transactions. If the number of
attempts exceeds a specified maximum number, the call and the transaction will be aborted.
Due to channel contention and slow (and unreliable) communication, the time required to
establish a channel is highly unpredictable. Once a channel has been established, the transaction
will be sent out through the RF transmitter, which is connected to the antenna from the MC, to
the base station of the cell site where the MC currently resides. When an MC is crossing the
cell site border while it is communicating with its base station, a new channel will be created
Figure 1: System Architecture of the Mobile Distributed Real-time Database System
with its newly assigned base station after a setup procedure. However, it is still possible that
there is no channel available at the new cell. In this case, it will retry for a specified number of
times. If it is still not able to get a channel, the transaction will be aborted. Due to noise and
interference, the signal, which carries data, may be corrupted while it is being transmitted. In
this case, the data will be re-transmitted. Because of high error rate and non-stability of signal
transmission, the effective data transmission rate over a mobile network is also highly
2.2Database and Transaction Models
The entire database is partitioned over different base stations. At each base station, there is
a local real-time database, which consists of two types of data objects: temporal and non-
temporal data objects. Temporal data objects are used to record the status of the external
objects in the real world. Each temporal data object is associated with a timestamp which
denotes the age of the data object. If a transaction may update a temporal data object, then the
transaction is given a timestamp when it is initiated. If the transaction commits successfully
before its deadline, then the timestamp of any data object which is updated by the transaction
will be set as the timestamp of the transaction. The validity of a temporal data object is defined
by an absolute validity interval (avi) . A temporal data object satisfies the avi constraint if
the age of the data object is up to date, i.e., the difference of the current time and the age is no
more than avi. A relative validity interval (rvi) may be given to a transaction which requires
that the maximum age difference of data objects read by the transaction is no larger than rvi.
Non-temporal data objects are either derived by operations of transactions or are statically set
during system initialization.
Each transaction is given a deadline and a criticality. The priority of a transaction is derived
based on its deadline and criticality. It is assumed that the EDF scheduling is used for
scheduling the transactions in using the CPU at the base station. It is assumed that the
transactions are firm real-time . If the system cannot complete a transaction before its
deadline, the transaction will be aborted. Each transaction consists of a sequence of operations.
Each operation requires the access of one to several data objects. Operations may access data
objects residing at several base stations. When an operation of a transaction accesses a data
object residing at a base station outside the cell site of the MC, the operation will be routed to
the base station via the MTSO. When all of the operations of a transaction have been processed,
a commit protocol will be performed to ensure the failure atomicity of the transaction. It is
assumed that the well-known two phase commit (2PC) is adopted because of its simplicity.
3 A Distributed Real-time Locking Protocol for MDRTDBS
In this paper, we propose a distributed locking approach based on both restart and priority
inheritance to resolve the problem of priority inversion in MDRTDBS. By extending the well-
known HP-2PL, a distributed extension of HP-2PL, called Distributed HP-2PL (DHP-2PL), is
proposed. In the design of DHP-2PL, we shall reduce the number of transaction restarts and
resolve lock conflict between higher priority and lower priority transactions globally or locally
because transaction restarts and conflict resolution can be very expensive in a mobile
environment. Unlike other blocking-based protocols such as those based on priority inheritance,
DHP-2PL is free of deadlock because priority inheritance is used restrictively for resolving lock
conflict with committing transactions in the DHP-2PL.
It is assumed that the local database system at each base station has a lock scheduler which
handles the lock requests for data objects residing at that base station. The definition of DHP-
2PL is as follows, where Tr and Th are the lock requesting and lock holding transactions,
Lock Conflcit (Tr, Th)
If Priority(Tr) > Priority(Th)
If Th is not committing or restarting
If Th is a local transaction
Restart Th locally
Restart Th globally
Block Tr until Th releases the lock
Priority(Tr) + fixed
Block Tr until Th releases the lock
A transaction is local if it only has accessed data objects residing at one base station.
Otherwise, it is a global transaction. Similar to the HP-2PL, the DHP-2PL uses a restart
approach to resolve lock conflicts between non-committing transactions. Restarting a local
transaction is simply done by restarting the transaction at the conflicting base station. To restart
a global transaction, restart messages must be sent to the base stations where some operations
of the global transactions are executing. Global restart takes a much longer time and requires
much higher overhead. Usually, a global transaction takes more resources for execution.
Restarting a global transaction implies that a lot of resources will be wasted. Thus, it should be
minimized. So, if a global transaction is committing, it is allowed to hold a lock until it has
finished the commit procedure, even though a higher priority transaction is requesting the lock.
Although this will create the priority inversion problem, the blocking time of the higher priority
transaction is minimized by priority inheritance. In the DHP-2PL, the priority of the
committing transaction will be raised up by two factors: Firstly, its priority is no less than the
highest priority of all its blocked transactions. Secondly, a fixed priority level is added to its
priority to let its priority higher than all the other executing transactions. No deadlock is
possible for the priority raising of any committing transaction because the committing
transaction will not be blocked by any other executing transactions. It is because a committing
transaction will not make any lock request during its commit procedure.
Transaction Shipping for MDRTDBS
To improve the system performance and to reduce the impact of a mobile network on the
performance of the DHP-2PL in a MDRTDBS, we propose a transaction shipping approach to
process the transactions from the mobile clients. The purpose of the approach is to reduce the
amount of communications between the mobile client and the database server to alleviate the
dependency of the system performance on the underlying network in a MDRTDBS.
In the transaction shipping approach, the entire transaction will be “shipped” to the server
for processing instead of shipping every operation or data request to the database server.
Although the idea is simple, there exist several difficult practical issues needed to be solved,
such as how to identify the path of a transaction before its execution, how to define the
execution model of a transaction in a mobile environment, and how to deal with the dynamic
properties in transaction execution. For some mobile applications, they may even require users
to input parameters while the transactions are executing in order to determine the path of
execution. The problem is further complicated by the limited processing power and memory
sizes of the mobile clients. Due to these limitations, the client structure is usually very simple
with limited information about the whole system e.g., the location of the data objects. In order
to solve the problem in transaction shipping, we suggest a pre-analysis approach. The
practicality of the pre-analysis comes from the fact that the behavior of many real-time
transactions is more predictable, compared with other conventional database systems.
4.1 Pre-analysis Phase
In the transaction shipping approach, the execution of a transaction is divided into two
phases: the pre-analysis phase and the execution phase. Figure 2 shows the system architecture
of the processing of a transaction under the transaction shipping approach. Once a transaction is
initiated at a mobile client, a coordinator process, called master coordinator, will be created at
the client side. Before shipping a transaction to the database server, the system will perform a
pre-analysis on the transaction to derive its characteristics, e.g., what the operations of the
transaction are and what the execution path of the transaction is. The concept of pre-analysis is
similar to the two phase methods discussed in . However, it should be noted that  is
concerned about how to reduce the unpredictability in data access by using the concept of
access invariant. In here, we use the pre-analysis to predefine the execution path of a
transaction in order to reduce the number of communications between mobile clients and the
Although transaction pre-analysis is considered to be difficult and impractical in many
conventional database systems due to their dynamic nature, it is quite feasible for many real-
time database applications [4,5] as the properties and behavior of transactions in many real-
time database applications are much more well-defined. Furthermore, in a real-time database
system, transactions can often be classified into different types in which each transaction type
has certain pre-defined characteristics, e.g., the set of operations and their required data objects,
for performing specific user operations . For such real-time database applications, partial
pre-analysis can even be done in an off-line fashion.
The pre-analysis is started at the mobile client upon the generation of the transaction. It
consists of two phases. In the first phase, the set of operations in the transaction will be
identified. It is usually not difficult to identify the operations in a transaction. For example, if
SQL statements are used to access the database, SELECT and INSERT statements are read and
write operations, respectively. Note that transactions are assumed to have a simple flat
structure. At this stage, it may not be necessary to identify the set of data objects required by
the operations. Actually, it may not be easy to be done at the client side as it only contains
limited information about the database system and the location of the data objects in the
Figure 2: Process Architecture under Transaction Shipping Approach
system. The required data objects of an operation can be determined when the operation is
being processed at the base station.
In the second phase, the execution path of the transaction, e.g., the precedence relationships
of its operations, will be determined. For some transactions, the whole execution path can not
be determined until the data objects required by the transactions have been identified. For such
transactions, the pre-analysis may identify the transaction type first and then, based on the pre-
defined characteristics of that transaction type, to make the prediction. After the completion of
the pre-analysis, a signature of the transaction will be created in which the operations of the
transaction and their precedence relationships are defined.
4.2 Execution Phase
The signature transaction is forwarded to the base station of the MC through the mobile
network. Once the server receives the transaction signature, it will create a process, called
image coordinator, for the transaction. The image coordinator will take over the job from the
master coordinator at the MC to process the transaction. Other cohorts for the executions of the
operations (issued by the transaction) will be created at other base stations if the operations
need to access the data objects located at that base stations.
The benefit of defining an image coordinator at the base station instead at the MC
is that the connections amongst the base stations are much better than the connection
between the MCs and its base stations. This approach can facilitate the management
of transactions and improve the performance of the atomic commitment protocol.
Whenever a transaction has to be restarted, all its cohort processes (excluding the
master coordinator and the image coordinator) will be destroyed after the completion
of undo operations. The image coordinator will be responsible for restarting the
transaction from its beginning if its deadline has not been expired.
4.3 Dynamic Properties of Transactions
Due to the dynamic nature of transactions (although transactions in real-time database
applications are more well-defined, compared with transactions in traditional database systems,
they may still have some dynamic properties) and the interactivities between transactions and
mobile clients, data input from MC users may still be needed. As a result, the pre-analysis of a
transaction may need to be re-done while it is executing. In this case, the transaction may have
to go back to its MC after the completion of an operation. It is obvious that the performance
gained from the pre-analysis is dependent on the accuracy of the pre-analysis. In the best case,
one single communication between the MC and the base station is required for each transaction
execution. In the worst case, the number of communications between the mobile client and the
base station for each transaction execution is equal to the number of operations in the
transaction, which is equal to that required in the query shipping approach. If the system can
make a good estimation in the pre-analysis, a lot of communication cost can be saved.
Note that the transaction shipping approach does not require the transmission of a large
number of data objects to the clients, as required in the data shipping approach. This is a very
attractive feature for MDRTDBS. Although the processing of the entire transaction at the
database server may increase the workload at the base stations, it can ease the management of
transactions because all of the cohorts for the execution of a transaction are located at the base
stations connected by wired network through the MTSO. Also, the processing power of a
mobile client is usually much lower than the servers at the base stations. A mobile client is
more suitable for performing simple jobs, e.g., the pre-analysis. The actual processing of the
transactions is performed at the base stations which are much more powerful and stable, and the
base stations contain much more information about the system.
5 Performance Experiments
In order to evaluate impact of mobile communication on the performance of the proposed
protocol DHP-2PL and the transaction shipping approach, a detailed simulation program of a
MDRTDBS is implemented according to the MDRTDBS model defined in Section 2.
Model Parameters and Performance Measures
The deadline of a transaction, T, is defined according to the expected execution time of a
transaction [1,2,3,8,9] such as:
Deadline = ar(T) + pex(T) × (1 + SF)
SF : the slack factor is a random variable uniformly chosen from a slack range;
ar(T): the arrival time of transaction T;
pex(T): the predicted execution time of T. It is defined as:
pex(T) = (Tlock + Tprocess + Tupdate) ´ Noper
Noper: the number of operations in a transaction;where
Tlock: the CPU time required to set a lock;
Tprocess: the CPU time required to process an operation; and
Tupdate: the CPU time to update a data object (for write operations) .
The baseline setting of the model is shown as follows:-
Number of MTSO
Number of Cell Sites
Location Update Interval
Transmission Speed for Channel
Number of Channels for Each Cell Site
Proportion of write operations
7 to 14 operations (uniform distribution)
10 – 20 (slack factor is uniformly distributed in
the slack range)
7 (1 in each base station)
200 data objects per local database
Distributed High Priority Two Phase Locking
0.5 update per second per data object
Earliest Deadline First
Firm deadline, abort the transaction once the
transaction deadline is found missing
Number of Mobile Clients
Channel Connection time (CL)
Call Update Interval
Number of Local Databases
Fraction of Temporal Data Objects
Temporal Data Object Update Interval
Absolute Threshold (avi)
Relative Threshold (rvi)
Deadline Missing Treatment
Table 1: Model parameters and their baseline values
The primary performance measure used in the simulation experiments is the miss rate which is
defined as the number of transactions which missed deadlines over the total number of
transactions generated. In addition to miss rate, we also measure the restart probability which
is defined as the total number of transaction restarts over the number of committed transactions.
The restart probability can be used as an indicator of data conflict probability. Other measures
are call blocking probability, mean call waiting time, mean turn around time of a transaction
and the CPU utilization. The call blocking probability is defined as the number of failed
channel requests over the total number of channel requests.
5.2Performance Results and Discussion
In this section, we study the performance of the transaction shipping approach (TS) as
compared with the query shipping approach (QS). We have tested the performance of the
transaction shipping approach under different workload overhead and return probability. Under
the transaction shipping approach, a transaction has to go back to the mobile client when: (1) it
has to receive input data from the mobile client; or (2) when the prediction done at the pre-
analysis is incorrect. For the later case, the prediction has to be performed again at the client
side. The return probability defines the probability of a transaction to go back to the mobile
client after the completion of an operation in the transaction shipping approach. Its value
depends on the accuracy of the prediction done at the pre-analysis.
Figure 3 shows the miss rate under the transaction shipping approach (TS) at different
return probability and at a zero overhead for the pre-analysis as compared with the query
shipping approach (QS). (The impact of the overhead for pre-analysis will be studied in the
next set of experiments.) It can be seen that the performance of the system is greatly improved
with the use of the transaction shipping approach especially when the return probability is low
(a high accuracy of prediction in the pre-analysis). When the return probability is smaller than
0.6, the improvement is more than 75% when the channel connection time is 1 second (CL = 1)
and the improvement is about 50% when the channel connection time is 2 second (CL = 2).
Again, this is due to smaller channel blocking probability and call waiting time as can be seen
in Figure 4 and Figure 5, respectively. The use of transaction shipping approach greatly reduces
the amount of communication between the mobile clients and the base stations required for
processing the transactions. This also makes the mean turn around time of transactions much
shorter as shown in Figure 6. Due to the lower channel contention, part of the workload is
shifted from the mobile network to the CPU when the return probability is low (as shown in
Figure 7). However, when the return probability and the channel connection time are high, the
network will still be the bottleneck resource.
The use of the transaction shipping approach also reduces the lock conflict probability as
the lock holding time by a transaction is shorter. The smaller conflict probability can be
observed in Figure 8. The restart probability drops greatly with a decrease in return probability
when the channel connection time is 1 second. However, when the channel connection time is
long (CL = 2), the restart probability drops slightly only when the return probability is very
high. It can be explained as follows. For a high channel contention due to a larger return
probability and longer channel connection time, some transactions may miss their deadlines
even before they have started the processing. Thus, the number of lock holding transactions
will be smaller and the probability of lock conflict will be lower. Since the number of restart
with the transaction shipping approach is much smaller, the degree of channel contention is
Figure 9 shows the impact of different overheads (defined in terms of the amount of time)
for the pre-analysis in the transaction shipping approach on the miss rate. It can be observed
that the overhead does not have any observable effect on the performance of the transaction
shipping approach. Although the overhead will make the deadlines more tight as the time
required to complete a transaction becomes longer, it also releases the degree of resource
contention in the system (the mobile network and the base stations) especially on the channels
as the transactions now spent more time at the mobile client side instead at the mobile network
and base stations.
Due to the poor quality of services provided by a mobile network, it is not easy to meet the
deadlines of transactions in a mobile distributed real-time database system (MDRTDBS). The
performance of any adopted concurrency control protocol in MDRTDBS will be very different
from its performance in a DRTDBS over wired network. In this paper, we propose the idea of
transaction shipping to process transactions issued by mobile clients. We aim at reducing the
overheads for processing a transaction over mobile network and for resolving priority
inversion. We consider a distributed lock-based real-time protocol, the Distributed High
Priority Two Phase Locking (DHP-2PL), to study the impacts of mobile network on real-time
data access, where DHP-2PL is derived from the well-known High Priority Two Phase Locking
(HP-2PL)  for MDRTDBS. Extensive simulation experiments have been conducted to
investigate the impact of mobile network on the performance of the DHP-2PL protocol. Since
bandwidth is one of the most scarce resources in a mobile environment, the study shows that
the call duration has a significant impact on the performance of DHP-2PL. With the transaction
shipping approach, the number of deadline violations is greatly reduced as the contention for
channel, the time spent on communication, the probability of lock conflict, and the amount of
resources wasted on restarted transactions are much reduced.
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T S ( C L = 1 )
T S ( C L = 2 )
Q S ( C L = 1 )
Q S ( C L = 2 )
Figure 3 Miss rate at different return probabilities
Figure 4 Blocking probabilities at different return probabilities
Turn Around Time (Sec.)
Figure 6 Turn around time at different return probabilities
Call Waiting Time (Sec.)
T S ( C L = 1 )
T S ( C L = 2 )
Q S ( C L = 1 )
Q S ( C L = 2 )
Figure 5 Call waiting time at different return probabilities
R eturn Probability
Figure 7 CPU utilization at different return probabilities
Figure 8 Restart probabilities at different return probabilities
Figure 9 Miss rate at different overhead for pre-processing