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- Describe in your own words assumptions of Maximal Flow Problem by indicating any differences with the assumptions of Transshipment Problem.Consider the network diagram given in figure below with the indicated flow capacities along each branch. Determine the maximal flow from source node A to destination node F. (Show your solution) 2 6. 6. 0( E B 8. 4,City Cab Company identified 10 primary pickup and drop locations for cab riders in New York City. In an effort to minimize travel time and improve customer service and the utilization of the company's fleet of cabs, management would like the cab drivers to take the quickest route between locations whenever possible. The travel times in minutes are shown on the arcs of the network. Note that there are two one-way streets and that the direction is shown by the arrows. 1 I 13 10 15 10 2 5 3 2 4 4 5 15 3 5 6 12 2 7 5 8 4 7 9 Using the above network of roads and streets, what is the quickest route a driver beginning at location 1 should take to reach location 10? path = 1, 10
- Frank Green, an independent TV repairman, is considering purchasing a home in Ames, Iowa, that he will use as a base of operations for his repair business. Frank’s primary sources of business are 10 industrial accounts located throughout the Ames area. He has overlaid a grid on a map of the city and determined the following locations for these clients as well as the expected number of calls per month he receives: (given) Find the optimal location of his house, assuminga. A weighted rectilinear distance measure.b. A squared Euclidean distance measure.c. The goal is to minimize the maximum rectilinear distance to any client.Suppose as many as 300 cars per hour can travelbetween any two of the cities 1, 2, 3, and 4. Set up amaximum-flow problem that can be used to determine howmany cars can be sent in the next two hours from city 1 tocity 4. (Hint: Have portions of the network represent t 0,t 1, and t 2.)Given the following network, with the indicated flow capacities along each branch, determine the maximum flow from source node 1 to destination node 6 and the flow along each branch
- The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose lati-tudes and longitudes are shown in Table 13.1, along with the population in each census tract (in thou-sands). Customers will travel from the seven census-tract centers to the new facility when they needhealth care. What is the target area’s center of gravity for the Health-Watch medical facility?Problem 6-33 For the following highway network system, determine the maximal flow in vehicles per hour: 3 Maximal flow 2 2 5 2 Vehicle flow capacity: 5000 vehicles per hour vehicles per hour. The highway commission is considering adding highway section 3-4 to permit a flow of 2,000 vehicles per hour or, at an additional cost, a flow of 3,000 vehicles per hour. What is your recommendation for the 3-4 arc of the network? Recommended capacity ▼ vehicles per hour.Consider the following network representation of a transportation problem. Let Min 40 s.t. 35 Supplies From Jefferson City From Omaha To Des Moines Jefferson City To Kansas City Omaha To St. Louis 14 9 8 X11 = amount shipped from Jefferson City to Des Moines X12 = amount shipped from Jefferson City to Kansas City X13 = amount shipped from Jefferson City to St. Louis X21 amount shipped from Omaha to Des Moines X22 = amount shipped from Omaha to Kansas City X23 = amount shipped from Omaha to St. Louis 8 11 24 The supplies, demands, and transportation costs per unit are shown on the network. (a) Develop a linear programming model for this problem; be sure to define the variables in your model. Des Moines Kansas City St. Louis 25 10 40 Demands
- The National Post Company has established various truck routes around Leb- anon over which it ships parcels. The holiday season is approaching which means a dramatic increase in the number of packages that will be sent. The company wants to know the maximum flow of packages it can accommodate, in tons, from station 1 to station 7. The network of routes and the flow capac- ities, in tons of packages per day, along each route are shown in the following network: 6 5 1 2 2 6 3 3 7 4 2 4 6 4 2 3 5 9 2 6 4 0 0 0 7 a. Determine the maximum tonnage of packages that can be transported per day from station 1 to station 7, HAND b. Indicate the flow along each branch.Given the following network, with the indicated flow capacities of each branch, determine the maximum flow from source node 1 to destination node 6 and the flow along each branch:You have been hired as a short-term consultant to evaluate Cop waste's Collection operation in the central business district (CBD) due to a disagreement among cop-waste collection staff members and management. The disagreement revolves around the amount of time spent by collectors on off- route activities. Off route activities will take up 15% of each 8 -hour workday for collectors. However, management claims that the collectors are not adhering to the allocated time, while the collectors claim that they spend less than 15% of their time each day. You are given the following information that has been verified by both collectors and management. A hauled container system -conventional type, The average time spent driving from company to the first container is 20 min The average pic up time per container is 6 min v - The average time required to drive between containers is 6 min - The average time required to empty the container at the disposal site is 6 min V - The average round trip…