Analysis of the Impact and Interactions of Protocol and Environmental Parameters on Overall MANET Performance Michael W. Totaro and Dmitri D. Perkins Center for Advanced Computer Studies University of Louisiana at Lafayette Presented by Michael W. Totaro Topics Introduction and Motivation 2k Factorial Design (A Brief Tutorial) Related Work Methodology Analysis, Results, and Models Future Work and Open Questions Questions References Topics Introduction and Motivation 2k Factorial Design (A Brief Tutorial) Related Work Methodology Analysis, Results, and Models Future Work and Open Questions Questions References Introduction and Motivation Important design challenge of MANETs: maximize overall performance of protocols operating in a MANET Impact that one or more factors have on MANET performance? 2k factorial design—an important tool that may aid researchers in analyzing effect of factors on MANET performance Topics Introduction and Motivation 2k Factorial Design (A Brief Tutorial) Related Work Methodology Analysis, Results, and Models Future Work and Open Questions Questions References 2k Factorial Design Process Code each factor to a “+” and a “-” level Design matrix: All possible combinations of factor levels Example for k = 3 factors: Make the 8 simulation runs, and measure the effects of the factors! 2k Factorial Design Main Effect of a Factor Main effect of a factor is the average difference in the response when this factor is at its “+” level as opposed to its “-” level: 2k Factorial Design Main Effect of a Factor – cont’d The main effects measure the average change in the response due to a change in an individual factor, with this average being taken over all possible combinations of the other k-1 factors (numbering 2k-1). 2k Factorial Design Main Effect of a Factor – cont’d We can rewrite the above as “Factor 1” column ● “Response” column / 2k-1 -R1 + R2 – R3 + R4 – R5 + R6 – R7 + R8 e1 = 4 2k Factorial Design Factor Interaction Two factors A and B are said to interact if the effect of one depends upon the level of the other Conversely, these two factors, A and B, are said to be noninteracting if the performance of one is not affected by the level of the other We shall look at examples of interacting factors and noninteracting factors 2k Factorial Design Examples of Noninteracting and Interacting Factors Noninteracting Factors A1 A2 B1 3 5 B2 6 8 As the factor A is changed from level A1 to level A2, the performance increases by 2 regardless of the level of factor B Interacting Factors A1 A2 B1 3 5 B2 6 9 As the factor A is changed from level A1 to level A2, the performance increases either by 2 or 3 depending upon whether B is at level B1 or level B2, respectively 2k Factorial Design Examples of Noninteracting and Interacting Factors – cont’d Performance 8 Performance B2 6 8 A2 6 B1 2 A1 2 A1 A2 B1 B2 (a) No Interaction Performance 8 B2 6 Performance 8 A2 6 B1 2 A1 2 A1 A2 (b) Interaction B1 Graphical representation of interacting and noninteracting factors. B2 2k Factorial Design Interaction Effects Addresses the question: “Does the effect of a factor depend on level of others?” 1 x 3 interaction effect: “Factor 1” ● “Factor 3” ● “Response” / 2k-1 R1 - R2 + R3 - R4 – R5 + R6 – R7 + R8 e13 = 4 Sign of effect indicates direction of effect on response of moving that factor from its “-” to its “+” level Topics Introduction and Motivation 2k Factorial Design (A Brief Tutorial) Related Work Methodology Analysis, Results, and Models Future Work and Open Questions Questions References Related Work Interest in cross-layer factor interaction in MANETs is not entirely new. Performance metrics for assessing the behavior of MANETs are identified, discussed, and, most especially, partitioned into three classification levels [1] Thread-task level metrics (algorithmic level) such as average power expended and task completion time Diagnostic packet level metrics such as end-to-end throughput, end-to-end delay, link utilization, and packet loss, which characterize network behavior at the packet level Scenario metrics that describe the network environment and define the scenario; these include: nodal movement/topology rate of change, number of network nodes, area size of network, density of nodes per unit area, offered load and traffic patterns, and number of unidirectional links Related Work – cont’d A comprehensive analysis of five factors—node speed, pause-time, network size, number of traffic sources, and type of routing (source vs. distributed)—was done using a factorial experimental design in an effort to identify and quantify the effects and two-way interactions of these factors on three performance responses: throughput, average routing overhead, and power consumption [2] Potential benefits may be derived by information exchange between the lower layer, routing layer, and transport layer, which is useful in the design and standardization of an adaptive architecture that can exploit the interdependencies among link, medium access, network, and applications protocols [3] The underlying premise in cross-layer interaction analyses is that, by learning more about factor and two-way interactions on the performance of MANETs, researchers may want to consider taking these effects into account in the design of future protocols Topics Introduction and Motivation 2k Factorial Design (A Brief Tutorial) Related Work Methodology Analysis, Results, and Models Future Work and Open Questions Questions References Methodology Effects of factors? Methodology – cont’d Partial Design Grid (Coded) Methodology – cont’d Partial Design Grid (Uncoded) Methodology – cont’d Simulation—QualNet 26 factors = 64 experimental runs Replications = 5 Total running time = 320 seconds LAR1 routing protocol Free-space model 2 Mbps Packet size = 512 bytes Pause time = 25 seconds Transmission range = 250 meters Terrain dimensions*: N = √ [ (MR2π / X) – 1 ] where X = average number of neighbors M = number of nodes R2 = transmission range *Using the formula for computing the average number of neighbors for a node, derived by Ihklas Ajbar. Topics Introduction and Motivation 2k Factorial Design (A Brief Tutorial) Related Work Methodology Analysis, Results, and Models Future Work and Open Questions Questions References Analysis, Results, and Models Scatterplot—Packet delivery ratio Analysis, Results, and Models Scatterplot—End-to-end delay Analysis, Results, and Models Scatterplot—Control packet overhead Analysis, Results, and Models Main effects—Packet delivery ratio Analysis, Results, and Models – cont’d Main effects—End-to-end delay Analysis, Results, and Models – cont’d Main effects—Control packet overhead Analysis, Results, and Models – cont’d Two-way factor interactions—Packet delivery ratio Analysis, Results, and Models – cont’d Two-way factor interactions—Control packet overhead Analysis, Results, and Models – cont’d Two-way factor interactions—End-to-end delay Analysis, Results, and Models – cont’d Response-surface plots Analysis, Results, and Models – cont’d Contour plots Analysis, Results, and Models – cont’d Predictive effects—Packet delivery ratio Analysis, Results, and Models – cont’d Predictive effects—End-to-end delay Analysis, Results, and Models – cont’d Predictive effects—Control packet overhead Analysis, Results, and Models – cont’d Prediction profile Analysis, Results, and Models – cont’d Regression Models—Packet delay ratio Analysis, Results, and Models – cont’d Regression Models—End-to-end delay Analysis, Results, and Models – cont’d Regression Models—Control packet overhead Topics Introduction and Motivation 2k Factorial Design (A Brief Tutorial) Related Work Methodology Analysis, Results, and Models Future Work and Open Questions Questions References Future Work and Open Questions Validation of prediction (regressions) models Other factors (e.g., power consumption, etc.)? Other empirical models (e.g., neural networks, time-series prediction)? Topics Introduction and Motivation 2k Factorial Design (A Brief Tutorial) Related Work Methodology Analysis, Results, and Models Future Work and Open Questions Questions References Questions Thank you! Topics Introduction and Motivation 2k Factorial Design (A Brief Tutorial) Related Work Methodology Analysis, Results, and Models Future Work and Open Questions Questions References References 1. M. W. Subbarao, “Ad Hoc Networking Critical Features and Performance Metrics”. White paper, Wireless Communications Technology Group, National Institutes of Standards and Technology, September 15, 1999 2. D. D. Perkins, H. D. Hughes, and C. B. Owen, “Factors Affecting the Performance of Ad Hoc Networks”. Proceedings of IEEE International Conference on Communications (ICC 2002), New York, April 2002 3. J. Lee, S. Singh, and Y. Roh, “Interlayer Interactions and Performance in Wireless Ad Hoc Networks,” Internet – Draft, IRTF ANS Working Group; http://www.flarion.com/ans-research/Drafts/draft-irtfans-interlayer-performance-00.txt, accessed 1/29/2004