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### extra4

Course: MAT 272, Fall 2009
School: ASU
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Word Count: 177

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credit Extra Problem #9 (4 pts) (a) Due: 4/30 Let f(x,y) = 2y -6. Consider the rectangular region [0,3] by[0,4]. In what subregion of this rectangular region will the double integral of f(x,y) be maximum? Why? (b) What simple closed curve C gives the maximal value of the line integral (y^3-y)dx - 2x^3dy? (Hint: use Green's Theorem and the idea from part (a)). Extra credit Problem #10 (4 pts) (a) Due: 4/30 (b)...

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credit Extra Problem #9 (4 pts) (a) Due: 4/30 Let f(x,y) = 2y -6. Consider the rectangular region [0,3] by[0,4]. In what subregion of this rectangular region will the double integral of f(x,y) be maximum? Why? (b) What simple closed curve C gives the maximal value of the line integral (y^3-y)dx - 2x^3dy? (Hint: use Green's Theorem and the idea from part (a)). Extra credit Problem #10 (4 pts) (a) Due: 4/30 (b) (c) (d) A river flows across the xy-plane in the positive x-direction and around circular a rock of radius 1 centered at the origin. The velocity of the river can be modeled using the potential function f(x,y) = x + (x / ( x2 + y2)). Compute the velocity vector field F = grad f(x,y). Show that div F = 0. Show that the flow of the river is tangent to the circle x2 + y2 = ...

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ASU - MAT - 272
Fayetteville State University - CIS - 6930
CIS6930: IP Quality of Service General Information What are we going to cover? What are you expected to do? Instructor: Xin Yuan Office: 206A Lov Building Office hours: TH 2:00-3:00 Email: xyuan@cs.fsu.edu Phone: 644-9133 Text Book: Inter
Fayetteville State University - CIS - 6930
A Review of Key Networking ConceptsRaj Jain The Ohio State University Columbus, OH 43210 Jain@CIS.Ohio-State.Edu These slides are available at http:/www.cis.ohio-state.edu/~jain/cis788-99/The Ohio State UniversityRaj Jain1Overviewq q q q q q
Fayetteville State University - CIS - 6930
Internet Quality of Service the big picture What is quality of service? What does it take for the Internet to support QoS? Existing Internet QoS architectures: Integrated services, differentiated services, and MPLS overview.What is QoS User p
Fayetteville State University - CIS - 6930
Integrated Services &amp; RSVP Types of pplications Basic approach in IntServ Key components Service models Application types: Elastic applications &quot;old-fashioned&quot; applications Tolerant playback applications. One-way video streaming, one-wa
Fayetteville State University - CIS - 6930
Scheduling Determines which packet gets the resource. Enforces resource allocation to each flows. To be &quot;Fair&quot;, scheduling must: Keep track of how many packets each flow has sent Consider resources reserved for each flow. Basic requirements I
Fayetteville State University - CIS - 6930
Differentiated Services IntServ is too complex More focus on services than deployment Functionality similar to ATM, but at the IP layer Per flow QoS guarantee: per flow signaling, resource reservation, packet scheduling at IP level. Not scalable
Fayetteville State University - CIS - 6930
Assured Forwarding (AF): Extend the idea of RIO scheme Service profile specifies the expected capacity Boundary nodes mark packet as in or out of profiles During congestion, out packets are drop first. The network should be provisioned to have
Fayetteville State University - CIS - 6930
End-to-end resource management in DiffServ Networks DiffServ focuses on singal domain Users want end-to-end services No consensus at this time Two proposals: Integrated Services over Differentiated Services Bandwidth Broker Integrated Servic
Fayetteville State University - CIS - 6930
MPLS Some notations: LSP: Label Switched Path LSR: Label Switched Router Ingress: first LSR Egress: last LSR Upstream/downstream FEC: forwarding equivalency classes An example for a packet to pass the following MPLS domain:LSP 1LSR A LSR B
Fayetteville State University - CIS - 6930
Label Distribution Protocols LDP: hop-by-hop routing RSVP-TE: explicit routing CR-LDP: another explicit routing protocol, no longer under development. LDP LDP peers: two LSRs that use LDP to exchange label/FRC mapping information. Four types o
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Internet Traffic Engineering Motivation: The Fish problem, congested links. Two properties of IP routing Destination based Local optimization TE: optimizing performance of operational networks. Reduce hot spots Improve resource utilization
Fayetteville State University - CIS - 6930
Constraint-Based Routing Used in traffic engineering to compute routes for connections. Static Problems and Dynamic Problems Static Problems: known topology (network resources), known traffic pattern (Fixed), find routes for a particular optimizati
Fayetteville State University - CIS - 6930
H.323 Recommended by ITU-T for implementing packet-based multimedia conferencing over LAN that cannot guarantee QoS. Specifying protocols, methods and network elements to establish point-to-point multimedia connections between two endpoints and mul
Fayetteville State University - CIS - 6930
A Generalized Processor Sharing Approach to Flow Control in Integrated Services Networks: The Single-Node CaseAbhay K. Parekh, Member, IEEE, and Robert G. Gallager, Fellow, IEEEIntServ Approach rate-based flow; the source's traffic is assigned va
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Spanning Tree Method for Link State Aggregation in Large Communication NetworksWhay Choiu Lee OverviewIntroduction Existing methods for link state aggregation symmetricpoint fullmesh star Spanning Tree Method intuition properties of spanni
Fayetteville State University - CIS - 6930
QoS Support in High-Speed, Wormhole Routing NetworksMario Gerla, B. Kannan, Bruce Kwan, Prasasth Palanti,Simon WaltonOverview Introduction QoS via separate subnets QoS via synchronous framework QoS via virtual channels ConclusionsIntroducti
Fayetteville State University - CIS - 6930
Topology Aggregation and Routing in Bandwidth-Delay Sensitive NetworksKing-Shan Lui, Klara Nahrstedt Department of Computer Science UIUCFlow of the presentation Introduction Network Models QoS-Aware Topology Aggregation Line-Segment Routing A
Fayetteville State University - CIS - 6930
AntNet: Distributed Stigmetric Control for Communications Networks Gianni Di Caro &amp; Marco Dorigo Journal of Artificial Intelligence Research 1998Presentation by Tavaris ThomasPresentation Contents Introduction/Background Model Description AntNe
Fayetteville State University - CIS - 6930
Virtual Private NetworksWhy VPN Fast, secure and reliable communication between remote locations Use leased lines to maintain a WAN. Disadvantages High Cost No flexibilityWhat is VPN Virtual Private Network is a private network that uses a
Fayetteville State University - CIS - 6930
Routing and Wavelength Assignment Approaches for Wavelength-Routed Optical WDM NetworksAgendaIntroduction Routing Assignment Wavelength Assignment Distributed Relative Capacity Loss(DRCL) ConclusionIntroductionWavelength-division multiplexing(W
Fayetteville State University - CIS - 6930
Topology aggregation and Multi-constraint QoS routingPresented by Almas AnsariFlow of the presentation The Scalability Problem Need for Topology Aggregation Topology Aggregation Schemes Assigning Values to Logical Links Multi-Constrained QoS
Fayetteville State University - CIS - 6930
QoS in Clustered EnvironmentsAhmad Faraj Faraj@cs.fsu.eduOverview Introduction Routing Mechanisms Approaches to QoS in Clusters ConclusionsIntroduction Networked applications inject different mixes of traffic in the network. Some classes o
Fayetteville State University - CIS - 6930
A Review of Constraint-Based Routing AlgorithmsF.A. Kuipers T. Korkmaz, M. Krunz and P. Van Mieghem , June 14, 2002Abstract Constraint-based routing is an invaluable part of a full-edged Quality of Service (QoS) architecture. Unfortunately, routin
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