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							<persName><forename type="first">Sid</forename><surname>Kargupta</surname></persName>
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<div xmlns="http://www.tei-c.org/ns/1.0"><p>This paper introduces the notion of implicit Operation Impedance (I) and Operation Potential (V) in Service Provider-Consumer contracts. 'I' is the runtime composite resultant of all the activity delays of the components supporting the Service Operation. This work establishes that 'I', which impacts the overall Operation Performance (P), is influenced by the underlying application components' activities in distinct patterns. A high-level runtime abstract model is empirically deduced between 'I', 'V' and 'P' by applying established mathematical techniques. Model based indicative values of some features are computed against variability of the operation's components. Lookup datasets against different system configurations are created to associate these computed values to the actual empirical values of other features. Established mathematical techniques applied with appropriate regression types to enable trend extrapolation/interpolation. The datasets/patterns affirmed effectiveness of the 'I' based model as a means of decoupled, bidirectional i.e. top-down and bottom-up impact assessment of modifications to the operation's underlying application components on 'P' ('V' constant) or 'V' ('P' constant) without repetitive full scale external performance/benchmark testing. This also enables fine tuning of application components to retrofit prescribed Quality of Service (QoS). The paper briefly mentions a Matrix Transpose/Inverse technique for future assessment of multiple component changes simultaneously.</p></div>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1">Introduction</head><p>Service Operations of a Service Provider are catered by underlying application components laid on top of system components. For every Service Operation, the activities of these components cumulatively create the composite impedance 'I' implicit to that operation, which eventually impacts the operation's Performance 'P'. The application components are often modified due to changes in business requirements while the underlying system remains the same. Extending on the fundamentals of previous work <ref type="bibr" target="#b0">[1]</ref>, this research explores one level of abstraction from system resources to application components and verifies a higher level pattern based projection of certain non-functional features of a Service Operation for modifications to the supporting application components. Pure functional models do not capture quantitative information about resource consumption behavior <ref type="bibr" target="#b0">[1]</ref>. So, the Service Operation's application components are decomposed into atomic activities or Delay Points like in-memory Data Processing, File I/O, Database Interaction, XML processing etc., which interface with the system resources (both Queue and Delay) and contribute to the overall Service Operation Impedance 'I'. The paper tries to establish that the total delay (or Impedance) for each type of Delay Point across all the supporting application components influence 'I' and hence 'P' and 'V' in a distinct pattern i.e.</p><formula xml:id="formula_0">I = f(∑I DLPi ) [i=1 to n]</formula><p>where I DLP1 is the Impedance by a particular Delay Point of Component1. Atomicity of Delay Points is very important as Delay Point types determine their nature of system resource usage, which then manifests as the Delay Point impact pattern. Delay Points should not overlap. 'I' acts as a connector between the Service Operation's internal application Delay Points and external non-functional features. This research focuses on variations to application components/Delay Points instead of inbound workload. Operation Potential (V) is the differential between the maximum request load the Service Operation can cater to maintaining QoS (aka Service Operation's "stress point") and the Service Operation's contractual request load. Operation Performance (P) is the measure of Service Operation's performance under a given load. The less the response time, the more is 'P'. So, 'P' is computed as the reciprocal of the Average Response Time (ART) of the Service Operation. Operation Impedance (I) is the runtime composite delay introduced by the different Delay Points across all the components supporting the Service Operation. Network latencies (inter-component and Provider-Consumer) contribute to 'I' as well.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2">Problem Statement and Motivation</head><p>Significant research has been performed towards measuring and predicting throughput, response time and congestion using queuing network principles. Ways to model, analyze and plan for web performance problems have been illustrated in details <ref type="bibr" target="#b0">[1]</ref>. High performance website design techniques involving redundant hardware, load balancing, web server acceleration and efficient management of dynamic data <ref type="bibr" target="#b1">[2]</ref> have been discussed. Methods are devised for dynamic selection of services based on user specified preferences and to predict performance of component based services depending on the underlying technology platforms <ref type="bibr" target="#b2">[3,</ref><ref type="bibr" target="#b3">4]</ref>. In <ref type="bibr" target="#b4">[5,</ref><ref type="bibr" target="#b5">6]</ref>, different methods of generating performance models and prediction have been discussed. An assembler tool and a methodology to automatically generate performance models for component based systems have been explored. A performance prediction approach comprising of gathering empirical performance results on COTS middleware infrastructure, a reasoning framework for understanding architectural trade-offs and relationships to technology features and predictive mathematical models to describe application behavior on the middleware technology has been investigated. Different model-based software performance prediction approaches have been classified and evaluated in <ref type="bibr" target="#b6">[7]</ref>. Queuing network based methodologies, Architectural Pattern based methodologies, software performance analysis through UML descriptions and other approaches have been discussed.</p><p>Further research <ref type="bibr" target="#b7">[8,</ref><ref type="bibr" target="#b8">9,</ref><ref type="bibr" target="#b9">10]</ref> has explored various methods of component based performance evaluation with top-down approach focusing on inbound workload, profiling, software containers, UMLs and transactions. However, often application developers find it convenient to analyze application level outputs than system resource or service level diagnostics, for which other human resources are required. Hence, it will be helpful to explore generic, application level, bottom-up methods to assess during development the impact of application component modifications at Delay Point granularity on other non-functional features. The notion of 'I' to facilitate the above through visual patterns remains unexplored. A high level abstract runtime model for 'V', 'P', 'I' and Delay Points related to Service Operations remains to be discussed. Typically, we still have to recourse to performance/benchmark testing of the whole system for impact analysis of application component modifications.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3">Aims and Objectives</head><p>This research aims to achieve the following objectives:</p><p>1) For Service Operations, empirically deduce a high level abstract runtime model for Service Operation Potential 'V', Service Operation Performance 'P' and overall Service Operation Impedance 'I'.</p><p>2) Decompose the application components supporting the Service Operation into atomic Delay Points.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>3) Compute model based indicative values of Service Operation Impedance and extract its distinct variation patterns against variability of actual component Delay</head><p>Point impedances and other non-functional features. Use Least Square Fitting (LSF) and appropriate regression types to derive pattern lines to enable bottom-up and topdown projections of the non-functional features related to service load and performance.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4">Proposed Methodology</head><p>To increase precision of the model and standardize request resource requirements, partitioning of the request load is achieved by constraining the model and method to Service Operation level. Different Service Operations from the same Provider may have different resource requirements.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.1">Deducing the high level, abstract runtime model for V, I and P</head><p>A Service Framework comprising of Web Services, Servlets, RMI Server, Socket Server, a multi-threaded Web Service Client etc. was created to simulate a Service Contract with provision to vary the various component Delay Points. Tests were run by gradually increasing the request load to the Service Operation. Assuming a stress point for the Service Operation, we observed a typical finite queue system curve <ref type="bibr" target="#b0">[1]</ref> for 'V' versus 'P'. Accepting approximation error, for simplifying the model, Piecewise Linear model is applied to divide 'V' values into 3 bands, each with a linear regression (affine form) as the best fit for 'P'. Direct proportionality between 'P' and 'V' considered for each 'V' band: P = IV + c where I is the constant of proportionality with I and c band specific At a given time T 1 , for requests to the same Service Operation, the request/process type, system configuration, resource requirements and contract load condition will be ideally the same. Today, services are run on multi-core, multi CPU servers. So, for simplicity, we assumed Multi-Processor Single Class Queuing Network (open or closed) model approximation <ref type="bibr" target="#b0">[1]</ref>. With m resources and D service demand at each resource, the service demand at the single resource queue will be D/m and for the delay resource will be D(m-1)/m. Under light load, the Residence time (R i ') is D (proven) and under heavier load, it will be dominated by the single resource queue:</p><formula xml:id="formula_1">R i ' = V i W i + D i</formula><p>where V i is the average no. of visits, W i is the average waiting time and D i is the service demand for a request at queue i. As the requests are to the same Service Operation, applying all the above constraints, D i and V i will ideally be same for all requests. As we used the ART of responses in test runs, the variability of W i is averaged out. Considering all the above, R i ' is assumed consistent for all requests at queue i. The experiments had co-located components with local calls between them. Also, only formal Service Contracts are in scope with dedicated, controlled network traffic and not any random service access over public network. Hence, at runtime, no unpredictable fluctuation of network bandwidth or latency is assumed. Average resource usage effect of other Service Operations on requests of the tested Service Operation is assumed. With all the above constraints, we assumed consistency of overall impedance for processing requests to the same Service Operation at T 1 for a 'V' band and mapped the runtime Operation Impedance to the proportionality constant 'I'. Power regression types and Piecewise Linear models were verified. For 'I DP '(x i ) versus 'I O '(y i ), pattern line with Polynomial regression of 3 rd order was the best fit:</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.2">Pattern Extraction and Validation for</head><formula xml:id="formula_2">y i = 2E+07x i 3 -250431x i 2 + 3008.6x i + 8.7436</formula><p>For 'I O '(x i ) versus 'P'(y i ) and 'I DP '(x i ) versus 'IF DP '(y i ) pattern line with Power regression was best fit:    </p><formula xml:id="formula_3">y i = f(x i ) = Ax i B where B = b, A = e a ,</formula><formula xml:id="formula_4">y i = 27.807x i 3 -77.133x i 2 + 296.92x i + 7.</formula></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.3">Plan for Further Work</head><p>For precision, Delay Point atomicity needs to be increased e.g. file type specific File I/O Delay Point. Model calibration needs to be verified. More Delay Points need to be tested e.g. database interaction/contention has not been verified yet. Delay Points were varied one type at a time but real world component modifications will be more complex with multiple Delay Point types modified simultaneously. For this, a method involving Matrix Transpose and Inverse technique can be adopted for both linear and polynomial relations. Different combinations of Delay Point variations and corresponding 'I O ' can be recorded in Matrices. Atomic Delay Points may be treated as independent variables. We can find out the best fit Delay Point Impedance coefficient vector X:</p><formula xml:id="formula_5">X = (A T A) -1 A T B</formula><p>where A is the matrix containing rows of Delay Point Impedances I DP , I FIO etc. from different test runs and B is the single column matrix of 'I O ' for each row in A. X will facilitate 'I O ' projection for any arbitrary combination of Delay Point Impedances.</p><p>Minimizing components system resource sharing by spreading the service framework would be good. All of these should enhance overall method precision.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5">Main Contribution to Web Engineering</head><p>The model will facilitate simple, generic, pattern based means for bidirectional i.e. top-down and bottom-up projections (with some error factors) of 'P', 'V', 'I' and application Delay Point impedances. It will guide fine tuning of the application components at Delay Point levels to retrofit new 'V', 'P' or both requirements. Importantly, we believe this method will allow upfront impact analysis of application component changes during development by the developers themselves without the need of additional testing/system admin resources or much external tool overhead. This should help address the typical resourcing issues faced during service component enhancements and provide potential for time, resource and cost savings. Also, repetitive performance or benchmark (e.g. TPC-C, TPC-App) testing of the whole system will not be required. It will be required initially during pattern creation through application component's Delay Point variation simulation. Thereafter, during future modifications, the developers will need to record the total delay of the modified Delay Point types across the Service Operation components while system testing with some load and plot the data on the patterns for the applicable 'V' band. We wouldn't need software monitors and hence overcome their inherent overhead and OS dependency shortcomings <ref type="bibr" target="#b0">[1]</ref>.</p></div><figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_0"><head></head><label></label><figDesc>Data Processing Delay Points Some illustrative components are created with Data Processing, File I/O, XML Processing and other Delay Points. Keeping the rest of the configuration constant ('V' kept positive), the Data Processing Delay Point intensities of the components were incrementally varied. Empirical data for actual overall 'P', computed indicative values of overall 'I' (say 'I O ') based on the model: P = IV + c for the relevant 'V' band, the actual average Data Processing Delay Point impedance (I DP ) and the Data Processing Impedance Factor (IF DP = I O /I DP ) was recorded. The following data models 'I DP ' versus 'I O ', 'I DP ' versus 'IF DP ' and 'I O ' versus 'P' showed distinct trends in variation, which were consistent but not purely linear. Accepting approximation error, for simplicity, LSF for Linear, Exponential, Polynomial and</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_1"><head></head><label></label><figDesc>737 Tests are performed to validate the extracted patterns. Results affirmed (with some approximation errors) the distinct underlying patterns of variations in 'I O ' due to changes in application components/Delay Points under a given load. From a projected value of 'IF DP ' corresponding to a given actual 'I DP ', we could also project 'I O ': I O = IF DP x I DP + e where 'e' is the error factor. Figures1, 2 and 3 present the empirical graphs of 'I DP ' versus 'I O ', 'I O ' versus 'P' and 'I DP ' versus 'IF DP '. Pattern validation is highlighted.</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_2"><head>Fig. 1 :Fig. 2 :Fig. 3 :</head><label>123</label><figDesc>Fig. 1: Empirical Data Graph for I DP vs I O for varying Data Processing</figDesc><graphic coords="5,125.28,492.36,344.88,122.88" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_3"><head>Fig. 4 :Fig. 5 :</head><label>45</label><figDesc>Fig. 4: Empirical Data Graph for I FIO vs I O for varying File I/O</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_0"><head></head><label></label><figDesc>a and b are LSF coefficients Similar types of distinct patterns i.e. Polynomial regression of 3 rd order as best fit for 'I FIO '(x i ) versus 'I O '(y i ) and Power regressions for 'I O '(x i ) versus 'P'(y i ) etc. are extracted for all the above non-functional features by varying the File I/O Delay Points. Although the types are similar, the functions had different values from the Data Processing Delay Point patterns. For example, for 'I FIO '(x i ) versus 'I O '(y i ), the best fit pattern line with Polynomial regression of 3 rd order had the regression function:</figDesc><table /></figure>
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			<biblScope unit="page" from="1307" to="6884" />
			<date type="published" when="2007-10">October (2007</date>
		</imprint>
	</monogr>
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