A Distributed Parallel Object Manager for Smalltalk

A Distributed Parallel Object Manager for Smalltalk
A Distributed Parallel Object Manager for Smalltalk

A Distributed Parallel Object Manager for Smalltalk

Hasan Aytekin Asuman Dogac

Software Research and Development Center of

The Scientific and Technical Research Council of Turkey

Middle East Technical University

06531Ankara Turkey

E-mail:asuman@https://www.360docs.net/doc/ed7842483.html,.tr

Abstract

In order to exploit the inherent parallelism in distributed systems through object-oriented programming a Distributed Parallel Object Manager for Smalltalk is implemented.In the previous Distributed Smalltalk implementations,the remote operational model is used where the sending process blocks,the receiver process performs the operation,a value is returned,and the sending process then resumes.In the Distributed Parallel Object Manager implementation,the sending process is not blocked,and there exists an environment associated with the local object at the remote host.Parallelism is achieved by using a variation of asynchronous communication;however the problems of asynchronous communication are avoided.Parallelism is implemented as a property of objects;not their classes.For parallel objects,since blocking is not desired between the task of sending a message and receiving its result,when a message is sent to an object,the value returned is a pointer to the result area of the object’s message response.

I.Introduction

Smalltalk-80[GOLD83]system operates on a single object domain environment.In this environment,a single user with a single object address space is provided.In Smalltalk-80several processes can be active at the same time where each object can act on a collection of objects.However because of the lack of synchronisation and mutual exclusion in this model,parallel programming is not so attractive.This holds because a process must expect interaction from other processes at every point of execution.

In order to facilitate object sharing between users on different machines distributed versions of Smalltalk have been implemented[B87,D89].

In the distributed object manager model,the traditional remote operation model is used.The traditional operation model requires that the sending process blocks until a value is returned.This blocking mechanism reduces the efficiency of the remote operations.Another disadvantage of the remote operational model is that it does not create an environment at the remote host thus it is not possible to keep the most recent status of objects for a specific application.In other words,if an environment is not associated with a given application,it is not possible to send a follow up message related with this application.As an example,an application may be dealing with pointers and may want to preserve the state of pointers between messages.In such a case an environment is necessary.

Object oriented languages are sequential in nature as observed from the following restrictions[A89]:

1.Execution starts with exactly one object being active.

2.Whenever an object sends a message,it does not do anything before the result of that message has arrived.

3.An object is only active when it is executing a method in response to an incoming message.

Parallelism can be integrated into an Object-Oriented language basically in two ways[A89]:

1.By relaxing the sequential restriction

2.This can be done by asynchronous communication.Instead of letting an object wait for the result after sending a message,the sender is allowed to go on with his own activities.

2.By relaxing the sequential restriction

3.Each object is allowed to be active at its body.When an object is created,it takes place parallel with the other objects in the system.An object can communicate with another object by interrupting the receiver object at certain explicitly indicated points.This requires synchronisation of both the sender and the receiver.Hence,a synchronous communication model is used.

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Among the parallel object oriented language implementations,PROCOL[v89]uses asynchronous communication,whereas POOL2[A89]uses synchronous communication.The implementation of PROCOL is realised in the C programming language under the UNIX operating system.As UNIX is a multi-process system, objects can execute concurrently.POOL2operates on DOOM machine which is a special purpose,multi processor architecture designed for object oriented programming.Neither of the languages supports inheritance. In order to exploit the inherent parallelism in distributed systems we have introduced the Distributed Parallel Object Manager for Smalltalk that implements a variation of asynchronous communication where the sending process is not blocked,and there exists an environment associated with the local object at the remote host in order to provide a more efficient processing environment.

II.Previous Work

In[B87],a Distributed Smalltalk is described which is operational on a network of Sun workstations.The system allows objects on different machines to send and respond to messages.The distributed aspects of the system are user transparent.The communication mechanism is a variation of the traditional remote operation model:the sending process blocks,the receiver process performs the operation,a value is returned,and the sending process then resumes.

The system also allows some capability for sharing objects among users.The classes and instances must be co-resident.Thus there is a restriction on object mobility,that is,when an object moves,its class must be present at the destination.

Remote objects in the system are supported through the use of proxyObjects and the RemoteObjectTable.A proxyObject represents a remote object to all objects in the local address space.There is one proxyObject per host per remote object referenced by that host.The RemoteObjectTable keeps track of all local objects that are remotely referenced.

In[D89],another design for distributed Smalltalk is described.The solution given[B87]is achieved through defining proxy objects as full-fledged Smalltalk objects,which necessitate the modification of the virtual image. However the solution of[D89]is through the modification of the interpreter and the object manager levels.A local object manager runs on each workstation and provides the programmer with a collection of primitives. These primitives allow objects to be named and shared without the programmer being aware of their actual location.

The implementation uses the shared memory mechanism:each Smalltalk program is represented by a UNIX process and accesses Smalltalk objects that are stored in a common block of shared memory.Intersite communication is achieved by using the UNIX4.2bsd"socket"mechanism.In[v89],a parallel object language, PROCOL,is described.PROCOL uses C as the host language.A PROCOL object type(abstract data type)is defined by means of a piece of program.Inheritance is not supported by the language.Objects are created by means of the new https://www.360docs.net/doc/ed7842483.html,munication is based on one way message transfer.The sender of the message waits until the message has been accepted by an intended receiver.A potential receiver is likewise suspended until it acquires the required message.

Receipt of the message consists of copying the values of the message’s components to variables local to the object.Immediately after receipt of the message,sender and receiver resume execution.Any processing of the received message is done after the sender has been released.It is clear that asynchronous communication is used in PROCOL.The implementation of PROCOL is realised in the C programming language under the UNIX operating system.As UNIX is a multi-process system,objects can execute their operations concurrently. POOL2[A89]is designed to allow objects to run in parallel.It operates on DOOM machine which is a special purpose,multi processor architecture designed for object oriented programming.In POOL2an object has an activity of its own,which is called its body.Execution of the body is started as soon as the object is created, and it takes place in parallel with the other objects in the system.An object can communicate with the other object by interrupting the receiver object at certain explicitly indicated points.This requires synchronisation of both the sender and the receiver.Therefore,a synchronous communication is used.

Both PROCOL and POOL2fail to support inheritance which is an indispensible aspect of object oriented languages.In[AL90]inheritence and subtyping is introduced to POOL family languages,however it is still impossible to inherit the bodies.

III.The Design of the Distributed Parallel Object Manager

In designing the distributed parallel object manager,the main idea is to establish a session between a local

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object and a remote class.A session established may have three different types of communication partners at the remote class:a new object from the remote class or an object whose oop is given in a global variable or all instances of a given class.The term session in this case means that,whenever a local object is created for a remote class,an environment at the remote host is created and associated with a descriptor id to the local object. The hand shaking process is as shown in Figure1.

Figure1.Hand Shaking

When a message is sent to the local parallel object,it is passed to the remote host without causing any operation in the local host and executed at the local object’s own environment at the remote host.The result is returned to the local object’s result field.Since this environment is resident and waiting for a message to execute until a reset is received,the state of the object’s class and instance variables is preserved and updated whenever a message is received.Sending a message to a ParallelObject and receiving its result is illustrated in Figure2. Figure2.Sending a message to a ParallelObject and receiving its result

In order to achieve the purposes stated above a new Class called ParallelObject is defined as a subclass of Class Object.The main difference between the behaviour of a conventional object and the parallel object is the way the value is returned for a message sent to an object.For conventional Smalltalk objects,a value is always returned as a result of a message sent to the object.For parallel Smalltalk objects,blocking is not desired during the task of sending a message and receiving its result.Therefore when a message is sent to an object,the value returned is a pointer to the object’s message response result area.There is a pointer to the related result field for each message sent to the object.The user is free to acquire the result of a message at any time.The criterion for acquiring the result of the message is the user’s choice.

If the user acquires the result of the message immediately after sending a message,this corresponds to the remote operational model and the process is blocked until a value is returned.But as described above,the process of sending a message,its execution,and the value returned are all independent operations.Therefore,if the result of a message sent to the remote object,is not immediately required then the process is not blocked.

Since a parallel object owns an environment at the remote host during its lifetime,the local garbage collector never swaps this environment.Whenever the local parallel object is reset,the environment at the remote host is terminated,and left to the local garbage collector at that site.Therefore no modification is necessary for the present garbage collection schema.

A design criterion for terminating the parallel object’s environment is sending a reset to the local parallel object. The user should send a reset message to the the local parallel object whenever it is not further required.If the user forgets to send a reset message,the environment timeouts and hence terminates itself after a predefined time unit after the current process terminates.

At the local host where the parallel object is physically resident,there is a result field pointer to the result of each message sent to the object.When a result is received from a remote host,the result field of the related message is updated.This field is never destroyed unless the user intentionally destroys it.Thus when the same message is sent to the same object with the same selectors and the arguments,the previously obtained results can be used.Therefore,the user should explicitly send a message to the parallel object to destroy a result. An instance of a ParallelObject is defined by sending the message for:aClass of:aType to the class ParallelObject. It is clear that an instance of any class can be defined as a parallel object,parallelism is a property of instances,

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not of classes.aType identifies the type of the communication partner.If aType is1,the communication partner is a new object from aClass and the user has four alternatives in defining a parallel behaviour for the object. These are:

https://www.360docs.net/doc/ed7842483.html,e aClass from any available host.

https://www.360docs.net/doc/ed7842483.html,e aClass at host’X’.

3.If aClass exists at host’X’,then use it,otherwise use aClass on any available host.

4.Migrate aClass to any one of the available hosts and use it there.

To implement these alternatives,the distributed object manager should support class replication on remote hosts. Also,class compatibility on remote hosts should be ensured for classes open to service.With class compatibility, we mean the following:the same classes and the same class hierarchy should exist in all of the sites.However the system does not support the transaction concept of Database Management Systems.Thus the instances of classes on different sites can be simultaneously updated.The only concurrency mechanism provided is the locking of a Class at a site to prevent the update of a ClassVariable in more than one environment at the same site.This provides for preserving the consistency of data kept in class variables at a given site.

If the communication partner is identified by a global variable or if it is the instance of a given class then the remote host must be specified explicitly.

Atomicity of methods for conventional objects is already provided by Smalltalk by not interleaving the execution of the methods at a given site.When an object is created by executing ParallelObject for:aClass message at site i,an environment and a message queue is created at site j for the messages to be received for aClass.Thus even if Smalltalk had not provided for the atomicity of the methods,the message queue does this job.

IV.Implementation of the Distributed Parallel Object Manager

The methods of class ParallelObject deal with two main operations.One is the local object site operation,and the other is the creation of the environments for each parallel object at the remote site.Note that in this environment there is no need to classify the sites as client and server,the same class can be used for each of the operations.Therefore,while a site creates an environment for an object at a second site,the second site can also ask to some other site to create an environment for its own local object.Thus,there can be chains established among hosts for a single object.That is,when a message is sent to a local parallel object,it is asked from the remote host to execute this message,and the remote host may ask another host to execute some other message for some operation needed for the original local distributed object.Therefore,it is possible for a single parallel object to have a distributed behaviour on many hosts.

Among four alternatives given in the design of the previous section,the policy number1is implemented for the time being.

For each message sent and its result received,the layout used for object and result descriptors are as follows: Object Descriptor:

.The host that object belongs to.(This is not used in the current implementation due to the hardware restrictions that only two PC’s are connected.)

.Spoolid which is a pointer to the Requests dictionary at the local host.

.Type of the communication partner:

1.A new object

2.An object whose oop is in a global variable

3.All instances of a given class

.Pointer to the referenced environment.

.Selectors of the message sent to the object.

.Arguments of the message sent to the object.

Result Descriptor:

.Target host(Not implemented).

.Pointer of the object at the local host.

.Class of the value returned.

.The value itself.

The descriptors used for the service is determined by the initial byte received from the remote host.Their descriptions are as follows:

0-A result from remote host to local host

1-A request from local host to remote host

2-Parallel hand shake request

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3-Parallel hand shake result

4-Parallel object message

5-Parallel object result

When a message is sent to a parallel object,the value returned to the local host is a pointer to the result area. The request made for each parallel object is marked as a request with a nil value initially.The structure used for such a request is given in Figure3.

Figure3.Requests Dictionary

At the remote host,for each environment created,there are two global pointers to this environment in order to maintain synchronization of the requests and their executions.One of them is used to inform the environment that a message is received,and the other is a queue(an OrderedCollection)of the messages received.The implementation is such that,when a message is received for an environment,with its return address,it is inserted at the back of the MessageQueue and the related environment’s semaphore from the ParallelObjectClassDict is signalled.When the environment is informed that there is a message waiting for execution,the environment removes messages in the order of their spoolid,executes them,and returns the result to the address provided with the message itself.The structures of the ParallelObjectClassDict and the MessageQueue is as follows: ParallelObjectClassDict(a dictionary)

at:(referenced environment)--->a semaphore

MessageQueue(a dictionary)

at:(referenced environment)--->a queue

a queue--->an ordered collection

an ordered collection cell--->a dictionary

a dictionary at:1--->return address

2--->the message

Figure4.Message Queue

https://www.360docs.net/doc/ed7842483.html,paring Distributed Parallel Object Manager with Previous Work

The two basic techniques for implementing parallel object oriented languages are the synchronous and asynchronous communication as explained in the introduction.

The disadvantages of asynchronous communication model given in[A89]are avoided in Distributed and Parallel Object Manager model although it uses a variation of asynchronous communication.A problem of asynchronous design is to guarantee that the messages travelling from the same sender to the same receiver should arrive in the order in which they were sent.

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In the Distributed and Parallel Object Manager model,this problem does not exist.Because,waitsFor:and valueOf:methods of the ParallelObject class indirectly force the ordering.When a result is requested by the valueOf:message,it is obtained from a predefined location in the result area after confirming that the result has arrived.That is the process explicitly waits for the result if it has not received it until then.The received results do not impose any side effects in the execution.In the Distributed and Parallel Object Manager model,a result is interpreted as a memory location having a nil or an actual value and it is in effect only when it is requested. That is,the order which they arrive is not important.

In the Distributed and Parallel Object Manager model,the processing of messages is also performed according to the order they are sent and not in the order they are received.This is achieved by processing the received messages in the order of their spoolid in our implementation.

In[A89]it is shown that asynchoronous communication can be implemented in POOL2using bodies and synchronous communication.For every message that is to be sent asynchronously,a buffer object is created. In such a case,buffering of messages sent but not received is a problem.The problem arises when the buffer is full.In such a case,the sender process must be blocked in order to prevent it from sending more messages unless there is enough space in the buffer to hold them.This will lead to a deadlock in programs which are semantically correct.

This problem does not occur in Distributed Parallel Object Manager implementation because of the following: When a ParallelObject is created,the local process which requests an environment from the remote site is blocked.When the requested environment is created successfuly at the remote site,the local process is notified with the descriptor of the created environment.From then on,the execution of the local process continues.That is,synchronisation is done at local object and remote class at hand shaking time.Messages sent to ParallelObject are buffered at the remote site.The size of the buffer is not fixed.It can grow out to resource limits,and hence no blocking of the local process is required when sending a remote message.Also,the messages received are processed by the order they are sent.

Another problem of the asynchronous approach is what to do when the sender gets too far ahead of the receiver. In the Distributed Parallel Object Manager implementation,this problem is prevented as follows:If at any time a result is required,its state can be obtained by sending the waitsFor:aDescriptor message to the ParallelObject which tests the related semaphore to check whether the result has arrived.Therefore,the user has the choice of either to continue the process or to block it explicitely by demanding the result of the parallel operation by sending the valueOf:aDescriptor message to the ParallelObject.By demanding the result of the parallel operation explicitely,almost absolute synchronisation of the sender and the receiver can be obtained.

Thus although the Distributed and Parallel Object Manager model is asynchronous,it has some exceptions from the pure asynchronous model such as synchronous hand shaking,valueOf:and waitsFor:methods.

The synchronous communication model is not appropriate for object oriented environments like Smalltalk with inheritance and class variables.Because in the synchronous communication model object bodies are always active.Thus when more than one object is active,each may change the class variable defined for the class the objects belong to.Consider the following application:The class Employee defines the behaviour of employees and one of the class variable defines the minimum wage for all employees.This class variable can only be updated when no Employee object is active which is against the philosophy of synchronous communication. Thus if a traditional object oriented environment like Smalltalk is used with a synchronous communication model,it is not possible to guarantee the correctness.

VII.Performance

In order test the design,the implementation is realized on two386PC’s serially connected through RS232serial ports,transmission rate being1200baud.The performance of the system is tested for two example cases.It should be noted that this transmission rate is extremely low compared to an Ethernet environment where transmission rate is10million baud.

Case1:

The first case is chosen from the database field and two experiments are performed.In this case there are two relations,namely the Customer and the Order relations.There are a total of2000records in the Customer relation and4000Order records.In the first experiment a join of these two relations is performed at site1.In the second experiment,the relations are horizontally distributed to two sites.Site1contains the customers with customer numbers less than or equal to1000,and site2contains customers with customer numbers greater than1000. Order relation is fragmented according to derived horizontal fragmentation,that is,orders belonging to customers with customer numbers less than or equal to1000is on site1,and orders belonging to customers with customer

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numbers greater than1000is on site2.The join is executed at two different sites by the Distributed Parallel Object Manager with the hash partition join technique and the final result is obtained by taking the union of the partial results.The selectivity of the join operation is assumed to be.50,that is50%of the Customer records have corresponding Order records.

Elapsed times for the two experiments are as follows:

.Experiment1:193seconds

.Experiment2:147seconds+795seconds for the communication cost

The high communication cost stems from the fact that the rate of communication in our system is1200baud. In a10million baud per second network,the expected communication cost is calculated to be.02secs. Case2:

The second case is chosen to be computation bound.Here the method evaluate:evaluates an expression100,000 times and it is called four times.

evaluate:aVal

|a|

a:=0.

1to:100000by:1do:[:i|

a:=aVal+aVal*3-aVal*2].

^a

We have performed three experiments.In the first one this method is evaluated at the local Smalltalk host.In the second experiment evaluate:method is executed by using the valueOf:message,thus the result of the message is immediately required hence forcing the remote operation model.In the third experiment,two evaluate:messages are executed at site1and two evaluate:messages are executed at site2by utilizing the Distributed Parallel Object Manager.

For each of the experiments,the elapsed time of execution is recorded.The programs for the experiments are as follows(since class compatibility is assumed,class Test and instance method evaluate:exists both at local and remote host):

Program for experiment1:Program for experiment2:Program for experiment3:

|t1t2a b c d e f||t1t2a b c d e f g||t1t2a b c d e f g|

t1:=Time totalSeconds.t1:=Time totalSeconds.t1:=Time totalSeconds.

a:=Test new.t1:=Time totalSeconds.a:=Test new.

b:=a evaluate:3.t1:=Time totalSeconds.b:=ParallelObject new for:Test.

c:=a evaluate:3.b:=ParallelObject new for:Test.c:=b evaluate:3.

d:=a evaluate:3.c:=b valueOf:(b evaluate:3).d:=a evaluate:3.

e:=a evaluate:3.d:=b valueOf:(b evaluate:3).e:=b evaluate:3.

f:=b+c+d+e.e:=b valueOf:(b evaluate:3).f:=a evaluate:3.

t2:=Time totalSeconds.f:=b valueOf:(b evaluate:3).g:=(b valueOf:c)+d+(b valueOf:e)+f.

^t2-t1g:=c+d+e+f.b reset.

b reset.t2:=Time totalSeconds.

t2:=Time totalSeconds.^t2-t1

^t2-t1

Elapsed times for the three experiments are as follows:Experiment1:25seconds,Experiment2:28seconds, Experiment3:15seconds

It is clear that parallel execution for these example cases resulted in high performance gains.These gains are especially high for computation bound processes because the rate of overhead associated with task switching related with computation bound processes is low.

VIII.Conclusions

Distributed versions of Smalltalk are available in the literature.These implementations use a remote operational model.In order to exploit the inherent parallelism in distributed systems through an object-oriented language, a Distributed Parallel Object manager is implemented.Parallelism in execution resulted in expected performance gains.

Parallelism is achieved by using a variation of asynchronous communication and by defining a new class,called ParallelObject class under Object class in Smalltalk’s class hierarchy.Parallelism is a property of objects;not

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their classes.For parallel objects,blocking is not desired between the task of sending a message and receiving its result.Thus when a message is sent to an object,the value returned is a pointer to the result area of the object’s message response.The problems of asynchronous communication do not exist in the Distributed Parallel Object Manager for Smalltalk.

The system supports parallelism with the following main advantages:

1.One of the implementation details is the use of a message queue for each ParallelObject environment.Since all the environments created are suspended with a ready state and activated whenever a message is received for it,the switching of processes is minimized.Therefore,the overall Smalltalk system efficiency is not reduced.

2.The result of any message sent to a ParallelObject can be obtained at any time.The result of a message sent to a ParallelObject,and acquiring the value itself are independent tasks.Furthermore the result of a message sent to a ParallelObject is stored in the system memory.It is not destroyed upon acquiring the value returned.Unless the programmer intentionally destroys the result field,the same result can be used at any time without sending

a new message which would be an identical one which had produced the result on hand.

3.For a programmer it is possible to check whether a value is returned for a message sent to a ParallelObject executed at a remote host.Therefore,to block or to continue the process is the programmer’s own responsibility.

4.All of the operations carried out for the distributed parallel object management are transparent to all users. All user operations,including the user at the remote host,is not affected while the system serves for a remote object.

5.In Distributed Parallel Smalltalk Object manager a user may establish a session between a local object and

a remote class.Thus it is possible to keep the most recent status of objects for a specific application. References

[A86]America,P.,"Definition of the programming language POOL-T",ESPRIT Project Report,October1986. [A89]America,P.,"Issues in the Design of a Parallel Object-Oriented Language",Formal Aspects of Computing,Vol.1,pp.366-411,1989.

[AL90]America,P.and van der Linden,F.."A Parallel Object-Oriented Language with Inheritance and Subtyping",ECOOP/OOPSLA’90Proceedings,pp.161-168,October1990.

[B87]Bennett,J.K.,"The Design and Implementation of Distributed Smalltalk",in Proc.of the Second ACM Object-Oriented Programming Systems,Languages,and Applications,Oct.1987.

[D89]Decouchant,D.,"A Distributed Object Manager for the Smalltalk-80System",Object-Oriented Concepts,Databases and Applications",ACM Press,1989.

[GOLD83]Goldberg,A.and Robson,D..Smalltalk-80,The Language and its Implementation.Addison-Wesley Publishing Company,1983.

[v87]van des Bos,J.and Laffra C.,"PROCOL:A Parallel Object Language with Protocols",in Proc.of the Fourth ACM Object-Oriented Programming Systems,Languages,and Applications,Oct.1989.

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题目:最小二乘法的综述及算例院系:航天学院自动化 班级: 学号: 学生签名: 指导教师签名: 日期:2011年12月6日

目录 1.综述 (3) 2.概念 (3) 3.原理 (4) 4.算例 (6) 5.总结 (10) 参考文献 (10)

1.综述 最小二乘法最早是由高斯提出的,这是数据处理的一种很有效的统计方法。高斯用这种方法解决了天文学方面的问题,特别是确定了某些行星和彗星的天体轨迹。这类天体的椭圆轨迹由5个参数确定,原则上,只要对它的位置做5次测量就足以确定它的整个轨迹。但由于存在测量误差,由5次测量所确定的运行轨迹极不可靠,相反,要进行多次测量,用最小二乘法消除测量误差,得到有关轨迹参数的更精确的值。最小二乘法近似将几十次甚至上百次的观察所产生的高维空间问题降到了椭圆轨迹模型的五维参数空间。 最小二乘法普遍适用于各个科学领域,它在解决实际问题中发挥了重要的作用。它在生产实践、科学实验及经济活动中均有广泛应用。比如说,我们引入等效时间的概念,根据Arrhenius 函数和指数函数研究水化热化学反应速率随温度的变化,最后采用最小二乘法回归分析试验数据,确定绝热温升和等效时间的关系式。 为了更好地掌握最小二乘法,我们引入以下两个问题: (1)假设已知一组二维数据(i i y x ,),(i=1,2,3···n ),怎样确定它的拟合曲线y=f(x)(假设为多项式形式f(x)=n n x a x a a +++...10),使得这些点与曲线总体来说尽量接近? (2)若拟合模型为非多项式形式bx ae y =,怎样根据已知的二维数据用最小二乘线性拟合确定其系数,求出曲线拟合函数? 怎样从给定的二维数据出发,寻找一个简单合理的函数来拟合给定的一组看上去杂乱无章的数据,正是我们要解决的问题。 2.概念 在科学实验的统计方法研究中,往往要从一组实验数(i i y x ,)(i=1,2,3···m )中寻找自变量x 与y 之间的函数关系y=F(x).由于观测数据往往不准确,此时不要求y=F(x)经过所有点(i i y x ,),而只要求在给定i x 上误差i δ=F (i x )i y -(i=1,2,3···m )按某种标准最小。 若记δ=( )δδδm T 2 ,1,就是要求向量δ的范数δ 最小。如果用最大范数,计算上困 难较大,通常就采用Euclid 范数2 δ 作为误差度量的标准。 关于最小二乘法的一般提法是:对于给定的一组数据(i i y x ,) (i=0,1,…m)要求在函数空间Φ=span{ n ???,....,,10}中找一个函数S*(x),使加权的误差平方和22 δ =

死锁原因和解决方法

1 简单的死锁(不同表,相同资源竞争) 连接1 Set nocount on; Use testdb; Go Begin tran Update dbo.T1 set col1 = col1 + 1 where keycol = 2; 目前链接1获取排它锁,并且一直保持。 连接2 Set nocount on; Use testdb; Begin tran Update dbo.T2 set col1 = col1 + 1 where keycol = 2; 链接2获取排它锁,并且一直保持。 连接1 Select col1 from dbo.T2 where keycol = 2; Commit tran 连接1被阻塞,但是这样还不算死锁,可能连接2也许会在某一时刻结束事务,释放连接1需要资源上的锁。 连接2 Select col1 from dbo.T1 where keycol = 2; Commit tran 这样产生死锁,因为每个进程都在等待另外一个进程释放他们所需要的锁。 解决方法: 如果交换事务中访问表的顺序,并假定这种变化不影响应用程序的逻辑,就可以避免这种死锁。如果两个事务按相同的顺序访问表,就不会放生这样的死锁。当你开发以特定顺序访问表的事务时,可以联系这样做,只要有必要这样做而且不影响程序的逻辑就可以。

2 因缺少索引导致的死锁(不同表不同资源无索引竞争) 当筛选列上缺少索引时就会出现这种情况。如果被筛选列上没有索引,SQLSERVER 必须扫描所有的行。因此当一个进程保持了某一行的锁时,其他的进程扫描所有的行已检查他们是否符合筛选器,而不是通过索引直接找到期望的行,这样就会发生冲突。 T1.col1和T1.col2上都没有索引 连接1 Begin tran Update dbo.T1 set col2 = col2 + 1 where col1 = 101; 连接2 Begin tran Update dbo.T2 set col2 = col2 + 1 where col1 = 203; 连接 1 Select col2 from dbo.T2 where col1 = 201; Commit tran 由于col1没有索引,SQL SERVER必须扫描所有行并获取共享锁以检查这些行是否符合筛选器。所以被连接2阻塞。 连接2 Select col2 from dbo.T1 where col1 = 103; Commit tran 同样也给阻塞,并且发生死锁。 解决方法 通过在被筛选列上创建索引,你可以避免死锁。当然,如果两个进程尝试访问相同的资源还是可能发生死锁。

【文献综述】最小二乘法原理及应用

文献综述 信息与计算科学 最小二乘法的原理及应用 一、国内外状况 国际统计学会第56届大会于2007年8月22-29日在美丽的大西洋海滨城市、葡萄牙首都里斯本如期召开。应大会组委会的邀请,以会长李德水为团长的中国统计学会代表团一行29人注册参加了这次大会。北京市统计学会、山东省统计学会,分别组团参加了这次大会。中国统计界(不含港澳台地区)共有58名代表参加了这次盛会。本届大会的特邀论文会议共涉及94个主题,每个主题一般至少有3-5位代表做学术演讲和讨论。通过对大会论文按研究内容进行归纳,特邀论文大致可以分为四类:即数理统计,经济、社会统计和官方统计,统计教育和统计应用。 数理统计方面。数理统计作为统计科学的一个重要部分,特别是随机过程和回归分析依然展现着古老理论的活力,一直受到统计界的重视并吸引着众多的研究者。本届大会也不例外。 二、进展情况 数理统计学19世纪的数理统计学史, 就是最小二乘法向各个应用领域拓展的历史席卷了统计大部分应用的几个分支——相关回归分析, 方差分析和线性模型理论等, 其灵魂都在于最小二乘法; 不少近代的统计学研究是在此法的基础上衍生出来, 作为其进一步发展或纠正其不足之处而采取的对策, 这包括回归分析中一系列修正最小二乘法而导致的估计方法。 数理统计学的发展大致可分 3 个时期。① 20 世纪以前。这个时期又可分成两段,大致上可以把高斯和勒让德关于最小二乘法用于观测数据的误差分析的工作作为分界线,前段属萌芽时期,基本上没有超出描述性统计量的范围。后一阶段可算作是数理统计学的幼年阶段。首先,强调了推断的地位,而摆脱了单纯描述的性质。由于高斯等的工作揭示了最小二乘法的重要性,学者们普遍认为,在实际问题中遇见的几乎所有的连续变量,都可以满意地用最小二乘法来刻画。这种观点使关于最小二乘法得到了深入的发展,②20世纪初到第二次世界大战结束。这是数理统计学蓬勃发展达到成熟的时期。许多重要的基本观点和方法,以及数理统计学的主要分支学科,都是在这个时期建立和发展起来的。这个时期的成就,包含了至今仍在广泛使用的大多数统计方法。在其发展中,以英国统计学家、生物学家费希尔为代表的英国学派起了主导作用。③战后时期。这一时期中,数理统计学在应用和理论两方面继续获得很大的进展。

浅谈操作系统中的死锁问题

浅谈操作系统中的死锁问题 学院:数学与计算机科学学院 姓名 学号:

摘要:进程死锁问题是操作系统的主要问题之一,很多学者专家一直在研究怎样解决这个问题。本文针对操作系统中经常出现的死锁问题进行了讨论,阐述了死锁出现的原因、四个必要条件,以及死锁的处理方法。 关键词:死锁;死锁产生的原因;死锁产生的条件;死锁的解除与预防;银行家算法。 一、死锁的概述: 死锁是进程死锁的简称,是由Dijkstra于1965年研究银行家算法时首先提出的。所谓死锁是指两个或两个以上的进程在执行过程中,因争夺资源而造成的一种互相等待的现象,若无外力作用,它们都将无法推进下去.此时称系统处于死锁状态或系统产生了死锁,这些永远在互相等待的进程称为死锁进程。 二、产生死锁的原因: 因为系统资源不足;进程运行推进的顺序不合适;资源分配不当等。如果系统资源充足,进程的资源请求都能够得到满足,死锁出现的可能性就很低,否则就会因争夺有限的资源而陷入死锁。其次,进程运行推进顺序与速度不同,也可能产生死锁 三、产生死锁的四个必要条件: 互斥条件:一个资源每次只能被一个进程使用。请求与保持条件(占有等待):一个进程因请求资源而阻塞时,对已获得的资源保持不放。不剥夺条件(不可抢占):进程已获得的资源,在未使用完之前,不能强行剥夺。循环等待条件:若干进程之间形成一种头尾相接的循环

等待资源关系。 四、死锁的解除与预防: 理解了死锁的原因,尤其是产生死锁的四个必要条件,就可以最大可能地避免、预防和解除死锁。在系统设计、进程调度等方面注意如何不让这四个必要条件成立,如何确定资源的合理分配算法,避免进程永久占据系统资源。 ⑴有序资源分配法。这种算法资源按某种规则系统中的所有资源统一编号(例如打印机为1、磁带机为2、磁盘为3、等等),申请时必须以上升的次序。 采用有序资源分配法:R1的编号为1,R2的编号为2;PA:申请次序应是:R1,R2;PB:申请次序应是:R1,R2;这样就破坏了环路条件,避免了死锁的发生。 ⑵银行算法。避免死锁算法中最有代表性的算法是DijkstraE.W于1968年提出的银行家算法。该算法需要检查申请者对资源的最大需求量,如果系统现存的各类资源可以满足申请者的请求,就满足申请者的请求。这样申请者就可很快完成其计算,然后释放它占用的资源,从而保证了系统中的所有进程都能完成,所以可避免死锁的发生。五、死锁排除的方法: 撤消陷于死锁的全部进程;逐个撤消陷于死锁的进程,直到死锁不存在;从陷于死锁的进程中逐个强迫放弃所占用的资源,直至死锁消失;从另外一些进程那里强行剥夺足够数量的资源分配给死锁进程,以解除死锁状态。死锁是网络中最容易发生的故障之一,即使在网络负荷

关于进程中死锁问题的研究

关于进程中死锁问题的研究 摘要 死锁问题是Dijkstra于1965年研究银行家算法时首先提出的,也是计算机操作系统乃至并发程序设计中非常重要但又最难处理的问题之一。实际上死锁问题是一种具有普遍性的现象。不仅在计算机系统中,就是在其它各个领域乃至日常生活中,也都是屡见不鲜的。掌握对死锁的处理方法,对于指导我们的现实生活,都会有积极地意义。本文研究的是操作系统进程中的死锁问题。从理论上说,死锁问题的研究涉及到计算机科学中一个基本问题,即并行程序的终止性问题。本文将通过对死锁的基本概念、产生的原因和产生死锁的四个必要条件的了解,找出合理的预防、避免、检测和解除的有效方法,并将其运用到实际问题中去。 关键字:死锁的预防死锁的避免银行家算法死锁的检测死锁的解除 一、死锁的基本概念 1.1 死锁的概念 当两个或两个以上的进程因竞争系统资源而无休止的相互等待时,我们就称这些进程是死锁的,或者说它们处于死锁状态。 1.2 死锁产生的原因 1、各进程竞争有限的资源。 2、进程推进顺序不当。 1.3 产生死锁的四个必要条件 1、互斥条件。指在一段时间内,一个资源只能由一个进程独占使用,若别的进程也要求该资源,则须等待直至其占用者释放。 2、请求和保持条件。指进程已经保持了至少一个资源,但又提出新的请求,而该资源已被其他进程占用,此时请求进程阻塞,但又不释放自己已获得的资源。 3、不可剥夺条件。进程所获得的资源在未使用完之前,不能被其他进程强行夺走,而只能由其自身释放。

4、环路条件。指存在一个等待进程集合{}n P P P P ,,,,210 ,0P 正在等待一个1P 占用的资源,1P 正在等待一个2P 占用的资源,…,n P 正在的等待一个由0P 占用的资源。这些进程及其请求的资源构成一个“进程——资源”的有向循环图。 二、死锁的处理 2.1 死锁的预防 死锁的预防是排除死锁的静态策略,因为我们已经知道了导致死锁产生的四个必要条件,那么我们只须破坏这四个条件中的一个即可预防死锁。为此介绍如下4种方法。 1、共享使用法 允许一个资源部件可以由多个进程“同时”使用。这种方法在早期曾使用过,但实践证明这种方法对有些资源是行不通的。如对宽行就是由各个进程“同时”使用,结果在打印纸上交替出现了不同进程的不同信息,从而给用户带来很大的不便,故对此类资源一般都采用独占方式。由于对大多数资源来说互斥使用是完全必要的,所以通过破坏互斥条件来防止死锁是不现实的。 2、预先静态分配法 在进程调度程序选择进程时,仅当进程所需要的全部资源都能满足时,才调度它进入内存运行。或者说,在进程尚处于运行前的静态情况下,就为它分配了所需要的全部资源。显然这是一种简单而安全的预防死锁的方法,但是,若资源搭配不当,就会导致进程将延迟运行,资源利用率低。 3、采用剥夺式调度法 这种方法主要用在处理器和存储器资源调度上,是调度进程自身的开销,以及主存和磁盘的对换进程、数据的开销。但对于需要由操作员装卸私有数据的外围设备,此法就不宜使用。这种方法实现起来比较复杂,且要付出很大的代价,还可能导致反复地请求和释放资源,而使进程的执行无限延迟。这不仅延长了进程的周转时间,还增加了系统的开销,降低了系统的吞吐量。 4、有序资源使用法 系统设计者把系统中所有资源都赋予一个唯一的编号。如令输入机为1,

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