## Hosted Web Service and Its Performance Analysis

Queue Model for Mobile Device Hosted Web Service To analysis the performance of the integrated web service framework for mobile device hosted web service, we build the following queue mode (See Fig.2) In our model, we assume mobile web requests arrive according to a Poisson distribution with parametert, where is the average number of arrivals per unit time. The mobile web requests firstly are sent to MWSM,MWSMis a M/M/1/N queue model, and it has two import parameters 1W and 1N, where: 1W: denotes the mean time that a mobile web service requester has to wait form the moment he calls until he departures fromMWSM;1N: denotes the buffer size that can hold mobile web service requesters; 1T: denotes the throughput ofMWSW;A mobile web service requester may get the MDH WSbyMWSMâ€™s cache system with a probability ofcP at the rate of2, or directly getMDH WS with a probability of 1cP at the rate of 1, we can easily get the following relationship 112T.Mobile web requests for MDH WSto arrive according to a Poisson distribution with parameter2t,where2is the average number of arrivals per unit time. From queue theory, we know that MDH WSis also aM/M/1/N queue model, and it also has two import parameters 2W and2N, where: 2W: denotes the mean time that a mobile web service requester has to wait form the moment he calls until he departures fromMDH WS;2N: denotes the buffer size that can hold mobile web service requesters; Besides these, we use the following signs: : denotes the rate that mobile web service request coming toMWSM;1 : denotes the rate that mobile web service request coming toMDH WS ; 2: denotes the rate that mobile web service request get MDH WS from cache system; 1: denotes the service rate ofMWSM;2: denotes the service rate ofMDH WS;1: is called the traffic intensity or utilization factor forMWSM;2: is called the traffic intensity or utilization factor forMDH WS;cP: denotes the probability of a mobile web requester will get service by cache system; 1, 0P: denotes the probability ofMWSMin idle state; 1,BP: denotes the probability of MWSM is in blocking state; 2,0P: denotes the probability ofMDH WSin idle state;2,BP: denotes the probability of MDH WS is in blocking state;Usually, for any givenMDH WS, parameters 2Wand2N are known, the distribution of mobile service requesters is taken as with a Poisson distribution with parametert,in the framework above, what we must do is to design aMDH WS(such as 1W,1N)thatmeet the QoS requirements for MDH WS. As for any specificMDH WS, usually the extent of web service that can be reused is known, socP can also be determined. The QoS evaluate parameters can be the throughput of the system, the request numbers that the system can hold, the delay of the system, or the reliability of the system etc. So we use the following signs: T: denotes the throughput of the whole system; R: denotes the reliability of the whole system; N: denotes the total mobile web service requester numbers in the whole system; D: denotes the delay of the whole system..Web Design Company Kumbakonam

Numeral Results and AnalysisTo analysis the result that we deduced above, we give the following initial parameters in MDH WS: The mean wait time220Wtime unit, if 2W is large, it meansMDH WScomputing speed is not fast shows the relationship among 1Wand1Nto the total mobile web service requester in the whole system N, we can see that by increasing the buffer size1N, the total mobile web service requester in the whole system N, is also increased; while by increasing the mean wait time1W in MWSMreliability of the total mobile web service requester in the whole system N, is also increased, when 1N is great than 5, the total mobile web service requester in the whole system N will not change much. Fig.6 shows the relationship among 1Wand1Nto the total delay of systemD, we can see that by increasing the mean wait time1W inMWSM, the total delay of system is also increased, 1N has nothing with the total delay of systemD In this paper, we introduced an integrated web service framework for mobile device hosted web service, and built its corresponding queue model and gave the performance analysis. Analysis and simulation show that our framework forMDH WSnot only is practical in QoS guarantee design in mobile web service integration, but also gives the parameters range selection .https://arudhrainnovations.com/

## Recent Comments