This part of your exam is worth 30 points.
Using the provided network diagram, write a program that finds the shortest path routing using the Bellman-Ford algorithm. Your program should represent the fact that your node is U. Show how the iterative process generates the routing table for your node. One of the keys to your program will be in determining when the iterative process is done. Deliverables
1. Provide an output that shows the routing table for your node after each iteration. Add a second table with two columns. One that shows the destination from your node and the second column indicating the number of hops to reach that node.
OUTPUT:
The screenshot of the output of the running program is attached below. The distance
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Below shown is how the output looks:
2. Provide a Word document with screenshots that explains how your program incorporates the Bellman-Ford algorithm. Ensure you explain and show how you incorporated the iterative process and determined when the routing table for your node was optimum. You can incorporate your outputs into this document; however, you must identify where in your source code you print the results required in deliverable 1 above.
This algorithm calculates the shortest path using the bottom-up approach. The Bellman Ford algorithm using a relaxation formula and calculates the path between each edge and iterates for V-1 times using this formula to finally calculate the shortest path. We are assuming that there are no negative weight cycle in the network.
It starts by calculating the shortest path between one node at first, then it checks for the path between two nodes, and so on proceeds in each iteration. I have put the outer loop as V-1, where V is the total number of vertices that is present in the network. In our case, V=6. Therefore, there must be V-1, which is 5 iterations to obtain the optimal shortest path to each of the node from the source node.
The below shown highlighted screenshot is the comparison relaxation formula used to check at each edge.
If we iterate through all the edges one more time, and still get the shortest path, this means that there is a negative weight cycle in the network. Hence,
The experiment results are shown in Table 2. The “summary” represents a combined DTA simulation scenario which summarizes the simulation result from all sub-simulation results. The summary scenario indicates the DTA simulation applying the networks from abstracted network group by different sub-simulation time period. In this table, the summary scenario nodes and links are marked as “-”. “Veh. Num.” and “CPU time/second” of summary scenario denotes the summation of all sub-simulations’ number of vehicles and CPU time in second. The average travel time and average travel distance of summary scenario are the weight average of all sub-simulation scenarios average travel time and travel distance, in which the weights are number of vehicles.
Draw the network (either AOA or AON) and the critical path and time. You may use MS Project or draw it manually. In either case, highlight or name the critical path and state the duration.
The Route module transfers an entity to a specified station or the next station in the station visitation sequence defined for the entity. A delay time define by a triangular distribution “TRIA(2,3,4)” is defined in every route module for our model(traveling time between each station).
The bus network gets its name from the linear bus system (see figure 11, where all clients are connected to a linear cable. At both ends of the bus networks, there are terminators which deny the transmission of network signal. When a node wants to communicate with another one in a bus network, it sends out signals across the cable for all other nodes, but the intended recipient only accepts and receives the data. However, a software is required for bus networks to control the transmission of data and to prevent data collision, as data loss is a possible threat in bus networks. Compared to ring topology (mentioned below) , low cable length is required for set up, which leads to one of the bright points of bus networks; cost effectiveness. In most peer-to-peer networks, bus topology is used since it is to set up computers and peripheral devices. A bus network is exactly like a series electric circuit, if there is one gap in the
The path that takes the shortest time is the one for which x=D/2, or equivalently, the one
There are different types of path planning architectures. It can be centralized or distributed. In centralized systems; a universal path planer
We use Barry Center crossing reduction heuristics. This is a two layer crossing reduction process. It is applied from top to bottom layer then bottom to top, this completes one iteration.
INTRODUCTION- we define a graph as a collection of a number of vertices and edges, and each of its edge basically connects a pair of its vertices. Whereas a tree can be defined as an acyclic graph that is connected. The edges of a graph are assigned with some numerical valuethat may represent the distance between the vertices, the cost or the time etc. that is why it is called aweighted graph. An acyclicgraph that is weightedis known as a weighted tree. The minimum spanning tree (MST) in a weighted graph is called aspanning tree. In this graph the sum of the weights of all the edges is minimum. Multiple MST are present in a graph, but all of theseneedto have unique sum total cost.The problem in constructing MST in an undirected, connected, weighted graph is one of the most known classic optimization problems.Such problems can be solved by greedy or dynamic algorithms within polynomial time.In 1926, first practical problem related to the MST was identified by Boruvka. But now, there are several practically relatedalternatives of the MST problem that were verified to belong to the NP-hard class. For an instance the Degree-Constrained MST problem [2],Bounded Diameter MST (BDMST) problem framed by the researchers named: Nghia and Binh [2], and the Capacitated Minimum SpanningTree problem [2]. Another one called the deterministic MST problem has also been well calculated and many effective algorithms have beenintroduced by many researchers. However, the Kruskal’s algorithm and
The network consists of group of points represented by nodes and are connected through group of lines called edges, if every edge in the graph has a direction then the graph is directed
After reaching the new location node the robot again scans its environment for any robot in its communication range. If no robot is found, it again goes through RRT forward propagation block. Each time the pain c increases and a new location node is reached to scan other robots. If even after three steps no robots are detected in scanning. The robot will check for the greater pain among c and w. If c is still greater than w the robot will wait some finite amount of time and keep on decreasing c. When c becomes less then w the robot makes the value of c equal to zero, which means the message to be transferred is lost. The robot then return to
The root initially broadcasts a DIO message (DODAG Information Object) as depicted in Figure 1. This message contains the information required by RPL nodes to discover a RPL instance, get its configuration parameters, select a parent set, and maintain the DODAG graph. Upon receiving a DIO message, a node adds the sender of the message to its parents list and determines its own rank value by taking into account the objective function referred in the DIO message. The rank value of a node corresponds to its position in the graph with respect to the root and must always be greater than its parents rank in order to guarantee the acyclic nature of the graph. It then forwards updated DIO messages to its neighbors. Based on its parents list, the node selects a preferred parent which becomes the default gateway to be used when data has to be sent toward the DODAG root. At the end of this process, all the nodes participating in the DODAG graph have an upward default route to the DODAG root. This route is composed of all the preferred parents. The DIO messages are periodically sent according to a timer set with the trickle algorithm [16] which optimizes the transmission frequency of control messages depending on the network state. A new node may join an existing network by broadcasting a DIS message (DODAG Information Solicitation) in order to solicit DIO messages from its neighbors. The DAO messages (Destination Advertisement Object)
2) Path Approximation : Given two vertices u, v ∈ V , let p denote a shortest path (note that there could be many) from u to v, that is, a path starting in u and ending in v with length |p| = dist(u, v). Furthermore, let q be an arbitrary path from u to v. By regarding q as an approximation of the shortest path p, I can define the approximation error of this path as
LEACH-F: In this author proposed a algorithm in which the quantity of clusters will be fixed all through the network lifetime and the CHs pivoted inside its clusters. Steady state period of LEACH-F is indistinguishable to that of LEACH.
3.2.18 MST-PSO: Minimum Spanning Tree-PSO Authors proposed a base spreading over tree-PSO based clustering algorithm of the weighted chart of the WSNs. The optimized route between the nodes and its cluster heads is looked from the whole ideal tree on the premise of energy
Current node will be then previous one (0.0.0.1 is previous and current will be 0.0.1.0)