AConsider the minimum flow problem shown below, where the source is node A, the sink is node F,and the arc capacities are the numbers shown next to these directed arcs.7BC2476DE6FIteration Augmenting path123Use the Augmenting Path Algorithm (Ford-Fulkerson Method) for the Minimum Flow Problem to find theflow pattern giving the minimum flow from the source to the sink. Formulate this problem as a minimumcost flow problem by showing the appropriate network representation, including adding the arc A → F. UseF = 16. List the augmenting path and c* for each iteration in the above table. Show your final result byeither listing the optimal flow assignment paths or clearly labeling the flow on the network.C*

Answer: We need to write the what will be the maximum flow for the given . so we will see in the…

Answered: A Consider the minimum flow problem…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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1. Develop a system of linear equations for the network by writing an equation for each router (A, B, C, D, and E). Make sure to write your final answer as Ax=b where A is the 5x5 coefficient matrix, x is the 5x1 vector of unknowns, and b is a 5x1 vector of constants. 2. construct the augmented matrix [A b] and then perform row reduction using the rref() function. Write out your reduced matrix and identify the free and basic variables of the system. 3. Use MATLAB to compute the LU decomposition of A, i.e., find A = LU. For this decomposition, find the transformed set of equations Ly = b, where y = Ux. Solve the system of equations Ly = b for the unknown vector y. 4. Compute the inverse of U using the inv() function. 5. Compute the solution to the original system of equations by transforming y into x, i.e., compute x = inv(U)y 6. Check your answer for x1 using Cramer’s Rule. Use MATLAB to compute the required determinants using the det() function.
Assume you desire to solve a maximum flow problem utilising parallel arcs but lack a maximum flow algorithm capable of doing so. How would you handle the problem of maximum flow using the code?
a. Find the general flow pattern of the network shown in the figure. b. Assuming that the flow must be in the directions indicated, find the minimum flows in the branches denoted by x2, x3, x4, and X5. 40 40 =HF Xyx D 30 40 80 60 <100 90
Vidyadhar, Rodika, and Manoj write code for a system that requires 4 modules. Each module takes an exponential amount of time to complete with mean 3.0 days. Once a coder is finished with a module, he/she starts another, but only one coder can work on a module. Let {X(t), t >=0} be the CTMC describing the number of modules remaining to code. Show the rate diagram for X Show the Q matrix
Algorithm : (1. Single-destination Shortest Path, 2. Bellman-Ford, 3. Negative-Weight Cycles), Dynamic Programming, RNA Secondary Structure Consider n airports, labelled 1 through n. Each airport maintains a number of direct flights to other airports, represented by an edge with an associated cost. Since travel is currently restricted, one may only book direct flights—no airports will perform any transfers. However, things are beginning to open up again and airports are being slowly cleared to process transfers. These are done in order of label, so the first airport to allow transfers is 1, followed by 2, and so on. Once an airport is allowed to take transfers, flights through that airport may be booked. For example, consider the scenario depicted in Figure 1. When all airports are closed to transfers, flights may only be booked between airports connected by an edge. Thus, a flight from airport 5 to airport 2 may not be booked. However, once airport 1 is allowed to perform…
A fixed beam is subjected to a uniformly-distributed load with an intensity of f = 10 N/mm length of L = 200 mm. Now determine the support reaction forces, internal shear forces and moments, then plot its internal shear force and moment diagram. f[N/m] L 1. Define the paramters, use L and f as the variables y X
Please write it on paper
Please show written work with answer plss help! Use Ford-Fulkerson Algorithm to find the max possible flow from A to D.
4. Graph Theory and Approximation Algorithms- (a) Find the maximum flow possible from vertex s to vertex t in the given graph. Show all your steps Given an example to show why reverse flow edges should be included to get the optimal flow 12 vi V4 20 16 8 4 9. 14 V3 v2 15 (b) Given below are the distances between A, B, C, D, E, F. You have to start from A, visit all the vertices and return back to the A. Find the optimal path using the approximation algorithm discussed in class. Show all your steps. () | A BC D E F A0 4 4 3 5 5 в| 4 0 2 4 C 4 2 D 3 4 E 5 3 6 F 5 3 4 3 3 6. 4 5 4 5 4 5 5 0 in
Consider the flow network shown in the following figure (left), where the label next to each arc is its capacity, and the initial s-t flow on right. (a) What must be checked to show that the initial f is a flow?

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