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Topic: Network flow


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  PlanetMath: flow
We are typically more interested in maximum flows, where the amount of flow is maximized for a particular graph.
We may interpret a flow as a means of transmitting something through a network.
This is version 3 of flow, born on 2002-08-30, modified 2003-10-06.
planetmath.org /encyclopedia/Flow.html   (303 words)

  
  Network flow - Wikipedia, the free encyclopedia
In graph theory, a network flow is an assignment of flow to the edges of a directed graph (called a flow network in this case) where each edge has a capacity, such that the amount of flow along an edge does not exceed its capacity.
The simplest and most common problem using network flow is to find what is called the maximum flow, which provides the largest possible total flow from the source to the sink in a given graph.
In a multi-commodity flow problem, you have multiple sources and sinks, and various "commodities" which are to flow from a given source to a given sink.
en.wikipedia.org /wiki/Flows   (1213 words)

  
 RIVER AND STREAM FLOW MONITORING
Instantaneous flow measurements (discharge) are an important element of both the River and Stream Water Quality Section and the Watershed Assessment Section Total Maximum Daily Load (TMDL) studies.
Flow measurements and continuous stage records are archived in a stream flow database at the Department of Ecology Headquarters in Olympia, Washington.
Rating tables or flow curves for each of these stations are built based on the relationship between a series of periodic stage height measurements and their corresponding in-stream flow measurements.
www.ecy.wa.gov /programs/eap/flow/shu_main.html   (1096 words)

  
 Network Flow Problems   (Site not responding. Last check: 2007-11-05)
This network flow problem is one that we all use in our daily lives: what is the fastest route to take between two locations in the city during the rush hour, what is the "most" scenic route to drive, or the cheapest route to fly, between two cities in our vacation.
The network can be an oil pipeline in which nodes are the pumping stations and the objective is to determine the maximum amount that can be pumped between an origin node and a destination node.
Or the network can represent the city traffic flow network where the capacities on the arcs are the maximum number of vehicles that can travel (per unit time) on a segment between two intersections.
benli.bcc.bilkent.edu.tr /~omer/research/networks.html   (2337 words)

  
 Network Flow Problems
This network flow problem is one that we all use in our daily lives: what is the fastest route to take between two locations in the city during the rush hour, what is the "most" scenic route to drive, or the cheapest route to fly, between two cities in our vacation.
The network can be an oil pipeline in which nodes are the pumping stations and the objective is to determine the maximum amount that can be pumped between an origin node and a destination node.
Or the network can represent the city traffic flow network where the capacities on the arcs are the maximum number of vehicles that can travel (per unit time) on a segment between two intersections.
www.csulb.edu /~obenli/Research/IE-encyc/networks.html   (2337 words)

  
 Algorithm Tutorials   (Site not responding. Last check: 2007-11-05)
Notice that the flow of the cut is less or equal to the capacity of the cut due to the constraint of the flow being less or equal to the capacity of every edge.
Thus, the value of the flow must equal the value of the cut, and since every flow is less or equal to every cut, this must be a maximum flow, and the cut is a minimum cut as well.
We will not store the flows along the edges explicitly, but it's easy to figure out how to find them upon the termination of the algorithm: for each edge x-y in the original network the flow is given by the capacity of the backward edge y-x in the residual network.
www.topcoder.com /tc?module=Static&d1=tutorials&d2=maxFlow   (2302 words)

  
 Network Flow
The flows may not exceed the corresponding capacities and the inflow and outflow must be equal for every node other than the two nodes in question.
An important point about netflow flow that is initially not easy to grasp is that because flow is directed, an edge may be saturated when considered in one direction but not the other.
Notice that although the network flow problem would allow non-integer flows (such as a boy dancing half with one girl and half with another), an examination of the Ford-Fulkerson algorithm shows that as long as all weights are integers, the flows will also be integers.
people.cs.uct.ac.za /~bmerry/manual/algorithms/netflow.html   (1357 words)

  
 Vendors on flow control
An example of where Ethernet flow control might be used appropriately is at the edge of a network where Gigabit Ethernet attached servers are operating at less than wirespeed, and the link only needs to be paused for a short time, typically measured in microseconds.
Flow control in the core can cause congestion in sections of the network that otherwise would not be congested.
Even a network manager familiar with the traffic patterns of his/her network would, in many cases, be hard pressed to answer this question due to the dynamic nature of network traffic.
www.networkworld.com /netresources/0913flow2.html   (1974 words)

  
 Network Flow
The real power of network flow is that a surprising variety of linear programming problems that arise in practice can be modeled as network flow problems, and that special-purpose network flow algorithms can solve such problems much faster than general-purpose linear programming methods.
Network flow algorithms can be complicated, and significant engineering is required to optimize performance.
The First DIMACS Implementation Challenge on Network Flows and Matching [JM93] collected several implementations and generators for network flow, which   can be obtained by anonymous ftp from dimacs.rutgers.edu in the directory pub/netflow/maxflow.
www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK4/NODE167.HTM   (1061 words)

  
 Distributed Tool Flow Manager Documentation
Networked tools that are encapsulated by the Server Wrapper register with the Registry Service to inform potential users of its availability, network location and other information, such as parameter types.
When the user "executes" the flow, the tool flow manager automatically traverses the graph and configures the tools (according to user input parameters) so that the actual network flow can be carried out and executed by the tool flow manager or a backend workflow server.
During the flow, the tool flow manager continuously queries the servers and updates the tool panel so as to allow users to visually track progress, including intermediate results and failure information of the flow.
embedded.eecs.berkeley.edu /Alumni/fchan/docs/dtfm.html   (414 words)

  
 Cisco - Network Flow Management
When the flow has hard requirements, the correspondents must communicate their needs to the network to ensure that they can be met.
Because this is a multicast network, the new receiver uses IGMP to ask to be added to the video multicast, and a multicast tree is built that starts delivering the data on a best-effort basis.
However, in self defense, the network must strictly limit the amount of data it will buffer at any given time, so the receiver must understand that it is sharing some risk that the network would attempt to buffer it if guaranteed service were being used.
www.cisco.com /warp/public/614/18.html   (3137 words)

  
 network flow
Suppose the maximum flow from s to t is greater than 0, so there is a path from s to t.
max flow problem - Is it true that if I multiply all the edge capacities in an s-t flow problem by a positive constant k > 0, then the maximum flow increases by the same factor of k.
Find the maximum flow and the associated minimum capacity cut for the attached network by using flow augmenting path algorithm (in the order of "first labeled, first scanned") 2.
www.brainmass.com /homework-help/math/other/47094   (323 words)

  
 [No title]
Given the physical network structure and the required connections, the RWA problem is to select a suitable path and wavelength among the many possible choices for each connection so that no two paths sharing a link are assigned the same wavelength.
Abstract: The solution of electric network problems by various algorithms such as for example Newton's method is often hampered by the presence of physical diodes with steeply rising exponential characteristics which cause overflow and slow convergence during numerical computation.
We argue that flooding schemes have significant drawbacks for such networks, and propose a general class of distributed algorithms for establishing new loop-free routes to the station for any node left without a route due to changes in the network topology.
web.mit.edu /dimitrib/www/publ.html   (14628 words)

  
 Going With The Flow -- Flow-Based Network Monitoring -- InformationWeek
As businesses use their data networks to deliver more applications and services, monitoring and managing the network for problems and ensuring high performance can become a challenge.
In the past, network monitoring usually involved checking to see that network devices were working properly and that data packets were moving from one location to another in a timely fashion.
Network managers now are spending more time looking at application performance and bandwidth utilization using a variety of tools from networking vendors such as Apparent Networks, Cisco Systems, Compuware, Coradiant, NetQoS, NetScout, Network General, Network Physics, and Visual Networks.
www.informationweek.com /news/showArticle.jhtml?articleID=174401412   (773 words)

  
 Amazon.com: Network Flows: Theory, Algorithms, and Applications: Books: Ravindra K. Ahuja,Thomas L. Magnanti,James B. ...   (Site not responding. Last check: 2007-11-05)
The terminology needed for network flow problems is introduced in Chapter 2, with rigorous definitions given for graphs, trees, and network representations.
Flow problems that are not conservative at the nodes are the subject of the next chapter on generalized flow problems.
Flow problems where more than one entity are transferred across the network are the subject of Chapter 17, and logistic planners and engineers will find the treatment very helpful.
www.amazon.com /Network-Flows-Theory-Algorithms-Applications/dp/013617549X   (2367 words)

  
 Network flow
We shall first consider the general network flow problem and then show how a number of common practical problems are variants of this general problem.
The minimum cost network flow problem is a linear program with a special structure.
One other area in which network flow is extensively used is in the management of foreign exchange dealings for banks, large companies, etc. To illustrate this consider the (simple) problem shown below where there are 4 currencies (£, Swiss franc, US dollar and Japanese Yen).
people.brunel.ac.uk /~mastjjb/jeb/or/netflow.html   (2273 words)

  
 Advogato's trust metric
Since standard network flow algorithms are specified as a single source, single sink problem with capacity constraints on edges, we modify the graph slightly.
At this point, computation of the network flow is fairly straightforward, using a standard algorithm to compute a maximum flow from the seed to the supersink, subject to the capacity constraints placed on the edges.
It follows that the flow from confused to bad nodes is equal to the number of bad nodes chosen.
www.advogato.org /trust-metric.html   (1068 words)

  
 Network Physics | Resources | Application Notes
By monitoring actual traffic flows, correlating a wide range of metrics, and connecting the resulting flow data to both business relevance and the underlying physical infrastructure, Network Physics' flow-based technology can restore a measure of visibility and control to the MPLS portion of enterprise networks.
Although the internal workings of an MPLS network are largely invisible from outside, the interface at its edge between IP routing and MPLS label switching gives the Network Physics appliance the information it needs to isolate the contribution of the MPLS cloud to end-to-end application performance.
However, by monitoring actual traffic flows, correlating a wide variety of metrics (including BGP data) with each flow, and classifying the resulting flow data in terms of business and infrastructure relationships, Network Physics' flow-based technology can give network managers increased visibility into the performance of the MPLS cloud and its impact on business services.
www.networkphysics.com /resources/appnotes/mpls_vpn.shtml   (858 words)

  
 Xangati Launches Falcon 3.0 -- A Real-time, Flow-based Network Intelligence Solution that Pinpoints Abnormalities in an ...
Network intelligence solution, Falcon, uses flow based information to instantly pinpoint user and service abnormalities throughout the entire enterprise.
In the right context, network flow abnormalities are quick and precise alerts to server, application and business process problems, not just network problems, and enable IT personnel to quickly understand, in actionable terms, root causes of user and service problems for their entire enterprise." said Peter Christy, principal, Internet Research Group.
Xangati is a network intelligence company that enables IT personnel to better understand their enterprise.
www.prweb.com /releases/2006/11/prweb483643.htm   (691 words)

  
 Flow-Control Mechanisms (Linktionary term)
Congestion control mechanisms allow network systems to detect network congestion (a condition in which there is more traffic on the network than can be handled by the network or network devices) and throttle back their transmission to alleviate the congestion.
A receiver uses flow controls to signal to the sender that it is overloaded.
Flow controls are necessary because senders and receivers are often unmatched in capacity and processing power.
www.linktionary.com /f/flow_control.html   (600 words)

  
 Flow characterization
Each flow represents an individual plot on a page of 80 plots, where all axes are scaled the same for easy comparison of flows.
Each packet in an individual flow is plotted as a point and connected with a line to the previous packet point.
The graphic of the two flows are clearly similar, the colors are "reversed", because of reversal of "source" and "destination" by the relay.
www.csm.ornl.gov /~dunigan/oci/flowchar.html   (1137 words)

  
 MIT OpenCourseWare | Sloan School of Management | 15.082J Network Optimization, Spring 2003 | Home
15.082J/6.855J is an H-level graduate subject in the theory and practice of network flows and its extensions.
Network flow problems form a subclass of linear programming problems with applications to transportation, logistics, manufacturing, computer science, project management, finance as well as a number of other domains.
This subject will survey some of the applications of network flows and focus on key special cases of network flow problems including the following: the shortest path problem, the maximum flow problem, the minimum cost flow problem, and the multi-commodity flow problem.
ocw.mit.edu /OcwWeb/Sloan-School-of-Management/15-082JNetwork-OptimizationSpring2003/CourseHome/index.htm   (216 words)

  
 IPFIX eases network-flow reporting - Network World
In addition, other flow keys, such as source and destination autonomous system number, TCP flags and next-hop routing addresses, let network managers gain an even deeper understanding of how applications and users are behaving on the network.
Network managers will be able to export whichever fields seem appropriate from an IPFIX-compliant device when troubleshooting network issues or engineering their networks for future growth or expansion.
Flow collection and reporting applications can read those templates to understand which keys are exported, so that network managers need not adjust application configurations themselves.
www.networkworld.com /news/tech/2006/061206-ipfix.html   (962 words)

  
 Network Flow Problems
B. There are two ways to improve the overall flow in a network: 1.
We then increase the flow on all forward edges on the path by this amount, and DECREASE the flow on all backward edges along the path by this amount.
To arrive at maximum flow most quickly, it turns out that we should consider the paths in the order they would be generated by a BFS starting at the source.
www.cs.gordon.edu /courses/cs321/lectures/network_flow.html   (632 words)

  
 [No title]
Mnetgen is the most famous (and probably the first) random generator of Multicommodity Min Cost Flow instances: the original Mnetgen [AK77] and input files (15k) for a "standard" set of 120 instances are kept here for completeness, although their standard distribution is rather this one.
For the set of planar networks, nodes are randomly chosen as points in the plane, and arcs link neighbour nodes in such a way that the resulting graph is planar.
These instances (30k) are fairly small in terms of underlying graph (12 to 21 nodes, 22 to 51 arcs), yet rather difficult to solve; at least for the first two groups, this is also due to a fully dense traffic matrix, hence a large number of commodities.
www.di.unipi.it /di/groups/optimize/Data/MMCF.html   (3478 words)

  
 Unifying Model: Minimum Cost Network Flows
All of the above models are special types of network flow problems: they each have a specialized algorithm that can find solutions hundreds of times faster than plain linear programming.
Minimum cost network flows are solved by a variation of the simplex algorithm and can be solved more than 100 times faster than equivalently sized linear programs.
Note that although these cannot be done in a single network, it may be possible to use the solutions to multiple networks to give you an answer.
mat.gsia.cmu.edu /classes/networks/node8.html   (770 words)

  
 Balanced Network Flows   (Site not responding. Last check: 2007-11-05)
Layered auxiliary networks are not present explicitly, but determined by a disjoint set union structure, and certain arcs of the network which are called props.
The layered axiliary network is obtained by shrinking the two depicted blossoms (that is, identifying all internal nodes).
This modified algorithm is an synthesis of the max flow algorithm of Dinic and the Micali/Vazirani algorithm to an O(n^2 m) method which applies to all kinds of non-weighted matching and balanced network flow problems.
www.math.uni-augsburg.de /opt/fremuth/research.html   (2240 words)

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