3.8. Consider the given network, in which design capacity is represented in the arc. Determine themaximum flow from the source node 1 and to terminal node 5. Find the maximum flow in allarcs.(20,0)(10,0)(30,0)2(5, 10)(30,0)(40,0)(20,0)(20,0)

Find the Given details below: Given details: To From 1 2 3 4 5 1 0 20 30 10 0 2 0 0…

Answered: 3.8.Consider the given network, in…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

See similar textbooks

Similar questions

Maximal Flow a. Write the linear program for this problem. b. Create a spreadsheet model to find the maximal flow from node 1 to 6
Four workers are available to perform jobs 1–4.Unfortunately, three workers can do only certain jobs:worker 1, only job 1; worker 2, only jobs 1 and 2; worker3, only job 2; worker 4, any job. Draw the network for themaximum-flow problem that can be used to determinewhether all jobs can be assigned to a suitable worker.
For networks (1) and (2), find the maximal flow from the source to the sink, given that the flow capacity from node I to node j is the number along branch (ij) nearest node i.
Graph Theory 3.6: A group of graph theory students discusses the best meeting time for a research project. Each student has some of their preferred times: S1, S2, S3... Sn. However, they will choose at most one of the specific times. Each time slot Sn has capacity Pn. Derive a necessary and sufficient condition to accommodatly fill up all time slots (to capacity ) with those students.
example 14a 1. plot all the corner points for the feasible area. 2. Find the optimum solution to X= Y= VALUE Z=
A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load meter moved. An analyst has prepared the following flow and distance matrices: Distances (meters) Flows (Loads per week) From/To I II III From/To X Y Z I - 10 20 X - 0 80 II - - 10 Y 30 - 150 III - Z 100 130 -If the company were to locate departments X, Y, and Z in areas 1, 2, and 3, respectively, what would be the total distance (in meters) loads would be moved each week?A. 3,100B. 3,600C. 6,200D. 7,200E. 8,200 Work must…
Consider the Dynamic Program formulation of the n-class optimal booking problem with sequential arrivals. In thisproblem, show some monotonicities of the value function.• Jt(x) − Jt(x − 1) is non-decreasing in t, ∀x.• Jt(x) − Jt(x − 1) is non-increasing in x, ∀t.Consider that the second property implies the first property. To prove the second property, given Dt, consider the discrete concavity of Ht(Dt, x) = max0≤u≤min{Dt,x} (pt)u + Jt−1(x − u) in x, i.e., Ht(Dt, x + 1) − Ht(Dt, x) ≤ Ht(Dt, x) − Ht(Dt, x − 1) for any x ∈ Z+ for any t. Image attatched for clarity.
1. The following diagram represents a flow network. Each edge is labeled with its capacity, the maximum amount of stuff that it can carry. a. Formulate an algebraic model for this problem as a maximum flow problem. b. Develop a spreadsheet model and solve this problem. What is the optimal flow plan for this network? What is the optimal flow through the network?
7. The manager of a regional warehouse must decide on the number of loading docks to request fora new facility in order to minimize the sum of dock costs and driver-truck costs. The manager haslearned that each driver-truck combination represents a cost of $300 per day and that each dockplus loading crew represents a cost of $1,100 per day.a. How many docks should be requested if trucks arrive at the rate of three per day, each dockcan handle five trucks per day, and both rates are Poisson?b. An employee has proposed adding new equipment that would speed up the loading rate to 6trucks per day. The equipment would cost $100 per day for each dock. Should the managerinvest in the new equipment?
Suppose in the given problem that additional constraints arise from the fact that certain tasks cannot be performed at the same station. In particular suppose that the tasks are zoned in the following manner:Zone 1 Tasks 2, 3, 1, 4, 6Zone 2 Tasks 5, 8, 7, 9Zone 3 Tasks 10, 11Assuming that only tasks in the same zone category can be performed at the same station, determine the resulting line balance for the problem based on a 45‑second cycle time.
Assign nine automobile service departments to bays in a 3 × 3 grid so that the closeness ratings Problem 2 in the following matrix are satisfied. (The unimportant and ordinary-importance ratings have been omitted to simplify the example.) The location of department 4 must be in the upper right-hand corner of the grid to satisfy a town ordinance.
Please I want to solve the point 4

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

3.8.Consider the given network, in which design capacity is represented in the arc. Determine the maximum flow from the source node 1 and to terminal node 5. Find the maximum flow in all arcs. (20,0) (10,0) (30,0) (5, 10) (30,0) (40,0) (20,0) (20,0)