### Application of Backflow Algorithm to a Directed GraphThis diagram represents a directed graph (digraph) with tasks (T1 to T10) and their respective processing times in parentheses. The aim is to apply the backflow algorithm to determine the critical time for specific tasks within this network.#### Diagram Overview:- **Tasks and Times**: - T1 (3) - T2 (2) - T3 (8) - T4 (11) - T5 (12) - T6 (10) - T7 (9) - T8 (4) - T9 (6) - T10 (5)- **Connections**: - The arrows indicate dependency and flow direction from one task to another. - T1 connects to T5. - T2 connects to T6. - T5 connects to T9. - Tasks T6, T8, and T10 are subsequent connections before reaching the "End". - T3 connects to T7. - T4 is a task that stands independently before reaching the "End".#### Calculating Critical Time:- **Purpose**: Calculate the critical time for Task 5 and Task 2 using the backflow algorithm.- **Formulas**: - The backward pass evaluates the longest path from end to start, determining critical times through reverse calculation from the "End" node. - Task duration and dependencies are considered to find potential delays affecting the overall project completion time.#### Critical Time Boxes:- **Task 5 Critical Time**: ________- **Task 2 Critical Time**: ________By evaluating the backward paths from each task to the "End," fill in the critical times in the designated boxes. This process aids in optimizing project schedules and identifying key dependency paths within project management scenarios.

Name: ### Application of Backflow Algorithm to a Directed GraphThis diagram
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: ### Application of Backflow Algorithm to a Directed GraphThis diagram represents a directed graph (digraph) with tasks (T1 to T10) and their respective processing times in parentheses. The aim is to apply the backflow algorithm to determine the crit

The critical time for the end point is zero 0. The directly linked tasks T9, T10 and T11 have the…

Answered: Apply the backflow algorithm to the…

Math

Advanced Math

Apply the backflow algorithm to the digraph below T1 (3) T5 (12) T9 (6) T2 (2) T6 (10) T8 (4) T10 (5) End Т3 (8) T7 (9) T4 (11) Task 5 has a critical time of Task 2 has a critical time of

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: For math, I'm currently learning about recursion algorithm and I'm confused about doing the…

Q: You are running algorithm with squared complexity on data with 100 elements and it takes 10 seconds.…

Q: Use the simplex algorithm to solve the following linear optimisation problem: maximise f(x1, x2, x3)…

Q: Given f(x)= -x +2x* -3x + x? -4x + 5. Use Horner's algorithm to compute a. f(-2) b. f(x)/(x+2) C.…

A: (a) We have f(x) = -x6+2x5-3x3+x2-4x+5, and we can rearrange this as f(x) = 5-4x+x2-3x3+2x5-x6

Q: Use the decreasing time algorithm to create a priority list for the digraph below. T1 (2), T4 (11)…

Q: Q2:Write an Algorithm to evaluate the following equations: X4 + 2! x2 x6 X8 + 6! 1.Cos(X) = 1 – -- -…

Q: (a) Using the Euclidean algorithm, find a particular solution of the linear Diophantine equation 16x…

A: To find- Using the Euclidean algorithm, find a particular solution of the linear Diophantine…

Q: The function SuperPower given below receives two inputs, x and n, and should return 4-2. x is a real…

A: According to the given data, x is a real number and n is positive integer.

Q: 3. Write a recursive algorithm of the sequence t(1)=-1 and t(n)=5x t(n-1)+n² as a function.

Q: Use the decreasing time algorithm to create a priority list for the digraph below. T1 (7) T4 (2) T6…

Q: Consider the following LP: min 5x1 + 4x2 s.t. x1 + x2 ≥ 1 2x1 − x2 ≥ 1 3x2 ≤ 2 x1, x2 ≥ 0. a. Write…

A: Consider the following LP: min 5x1 + 4x2 s.t. x1 + x2 ≥ 1 2x1 − x2 ≥ 1 3x2 ≤ 2 x1, x2 ≥ 0. a. Write…

Q: In the first part of this question, I’m asking you to give a background situation for the…

A: Solution: The formulae for the combination is nCr= n!r!×(n-r)!

Q: How to solve this problem with the dual simplex algorithm: max 60x1 + 30x2 + 20x3 subject to 8x1 +…

Q: Use the Division Algorithm to prove that (a) The square of any integer is either of the form 3k or…

Q: Consider the problem of maximizing the function -x? f(x)=- +3x 10 where x is allowed to vary between…

A: Given that, f(x)= 3x-(x²/10) Here, f is a polynomial function in x. So, f is continuously…

Q: Computers frequently use algorithms to make large files smaller, a process called compression. When…

Q: Suppose that we use the bisection algorithm to approximate r = √20 which the greatest zero of the…

Q: 81 = 4 82 = 9 For k starting at 3 and ending with 8: gk = (k-1) gk-1 + gk-2 What is the last term,…

Q: Q6 | (a) Using the Euclidean algorithm, find a particular solution of the linear Diophantine…

A: The given problem is to find the particular solution for the given linear diophantine equation and…

Q: Provide the function of complexity (time-efficiency) and analysis of asymptotic behavior (big O,…

A: The given recursive function, Rec_Fun, has a parameter 'n' which represents the input size. Let's…

Q: x-2 1.Use the algorithm for curve sketching to sketch the graph of Az) = x- 3x-4 Show your steps.

A: Here we draw the graph of rational function.

Q: P(z)=z5 -2z3+3z2+3z-4 Horner to calculate p(4), including use the algorithm

A: Given

Q: c) Prove whether following functions are continuous or not at (0,0). cos(TY) sin(Tx) (x, y) € R² \…

A: The objective is to state whether the function is continuous or not. 1.…

Q: Home Hospital Mall Esplanade Pet Shop Home 2.00 km/h 4.00 km/h 3.53 km/h 6.00 km/h Hospital 2.00…

A: A Hamiltonian path is a path that starts at any vertex of the graph and visits every vertex of the…

Q: b). Use mathematical induction to prove that G(n) 4. [Hint: In the inductive step, have a new…

A: The solutions of (b) and (c) are given below

Q: [1A] The given table below shows the 6 different places that you would like to visit on a particular…

A: Given: The table below shows the estimated amount of time (in minutes) it takes you to travel (by…

Q: max z = x₁ + x₂ Subject to: Sx1 + x₂ ≤7 -x₁ + x₂ ≤3 X₁, X₂20 and integer.

A: The given LPP isUse the graphical method:Extreme PointCoordinates(x1,x2)Objective function…

Q: 1. A student wants to know the effect of 2 parameter settings (Number of iterations and learning…

A: Boxplot helps us to detect the outliers from the data set. As well as the side-by-side Boxplot…

Topic Video

Question

### Application of Backflow Algorithm to a Directed Graph

This diagram represents a directed graph (digraph) with tasks (T1 to T10) and their respective processing times in parentheses. The aim is to apply the backflow algorithm to determine the critical time for specific tasks within this network.

#### Diagram Overview:

- **Tasks and Times**:
- T1 (3)
- T2 (2)
- T3 (8)
- T4 (11)
- T5 (12)
- T6 (10)
- T7 (9)
- T8 (4)
- T9 (6)
- T10 (5)

- **Connections**:
- The arrows indicate dependency and flow direction from one task to another.
- T1 connects to T5.
- T2 connects to T6.
- T5 connects to T9.
- Tasks T6, T8, and T10 are subsequent connections before reaching the "End".
- T3 connects to T7.
- T4 is a task that stands independently before reaching the "End".

#### Calculating Critical Time:

- **Purpose**: Calculate the critical time for Task 5 and Task 2 using the backflow algorithm.

- **Formulas**:
- The backward pass evaluates the longest path from end to start, determining critical times through reverse calculation from the "End" node.
- Task duration and dependencies are considered to find potential delays affecting the overall project completion time.

#### Critical Time Boxes:

- **Task 5 Critical Time**: ________

- **Task 2 Critical Time**: ________

By evaluating the backward paths from each task to the "End," fill in the critical times in the designated boxes. This process aids in optimizing project schedules and identifying key dependency paths within project management scenarios.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Do 3 questions answered ???plz. Do 3 question answer it needs urgently. Do it by regula falsi method. First write it's algorithm. I give you like
PLEASE HELP STRUGGLING.......
Use the Any optimization Algorithm to optimize the following function a. f(x,, x2) = x, -2x, + 4x,² + 7 Given that x1 = [1, 2, 3] & x2 = [3,4] %3D
CLO3: The following graph represents the growth functions of two different algorithms. Use the graph to answer the questions follow: Function's Growth 140 120 100 80 60 20 1 2 3 4 5 6 7 9 10 11 8 FF-5*x+14 for agor thm B Gx)= x*2 for algorithm A 1) Which algorithm, A or B, performs better when (problem size) n is less than 7? (a 2) Which algorithm, Aor B, performs better when (problem size) n is greater than 7? 3) What can you conclude about the performance of the two algorithms when (problem size) n= 7?
max 6x1 – 5r2 + 13 s.t. – r1 – 2x2 + 2r3 –30 I1 >0 I3 urs (a) Convert the LP to standard form. (b) Perform the first two iterations of the Simplex algorithm. Clearly indicate the enter- ing/leaving variables and the basic feasible solutions you find.
Assume you wish to shrink an object centered on the origin to half its size, rotate it 90 degrees around the y axis, and translate it from the origin to the coordinates (10, 10, 0). Assuming each of the three transformations are stored in arrays named scale, rotate, and translate respectively, give a multiplication sequence that will perform the operations on the vertices of the object (in a vec4 named position). What would happen differently if you reversed the order of your multiplication?
Solve the following Integer Programming problem using the graphical or branch and bound algorithm, where n=5, s=13.
Please only answer (g) and (h) (in image), I'm providing the answers to the other questions below. (3) In the part (a) of this question, I’m asking you to give a background situationfor the combinatorics (“counting”) problems in the rest of the question. In parts (b) through(h), you’ll give a question based on that situation for which the calculation I’ve given youwould be the correct answer. a) Combinations and Permutation When one has to choose among a set of objects or people, then combination is used to find the number of ways. The order in which they are chosen does not matter here. On the other hand, if one has to find the number of ways of arranging certain objects, then arrangement is used. Here, the order always matters. For example, find the number of ways in which 4 benches can be occupied by 4 students. Here, the first bench is occupied by 4 students, second one with the remaining 3 students, third one with remaining 2 students, and 4th bench with the last student. Thus,…
Compute the line integral of f x2 - y, along C:x2 + y² 4 in the first quadrant from (0,0) to (v2, v2) %3D
[1B] The given table below shows the 6 different places that you would like to visit on a particular day. The table below shows the estimated amount of time (in minutes) it takes you to travel (by any means of transportation) from one place to another. If you will visit each of these places exactly once, determine the shortest time possible it would take you to do using the Greedy Algorithm. Examples already provided in the photos below. Home Hospital Mall Esplanade Pet Shop Market Home --- 30 15 17 10 3 Hospital 30 --- 17 20 25 23 Mall 15 17 --- 2 25 18 Esplanade 17 20 2 --- 27 20 Pet Shop 10 25 25 27 --- 7 Market 3 23 18 20 7 ---
I really appreciated it if you could help me with those questions; thank you