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- 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, 10MARITIME LADIES =924 SOCIA Homaidan Mercy MLA † Notification 23. Find the shortest route from node 1 to node 7 in the network shown. 1 9 18 6 nowA telecommunications system is going to be installed at a company site. Theswitching center that governs the system must be located in one of the five buildingsto be served. The goal is to minimize the amount of underground cabling required.In which building should the switching center be located? Assume a straight-linedistance measure.Building Location1 (10, 10)2 (0, 4)3 (6, 15)4 (8, 20)5 (15, 0)
- Determine the minimum distance required to connect all nodes in Figure 4. 8ART Contractors must locate an equipment staging area to serve three construction sites, located at coordinates (0,2), (0,4), and (5,5). Traffic between the staging area and each of the three sites will be equal. What is the best set of coordinates for the equipment staging area? Please show the math.4. The origins at 2 plants at Cagayan de Oro and Davao with capacities of 500 and 700 units, while the destinations are 3 distribution centers with demands of 400, 500 and 300 respectively. The costs of transporting a unit of the product from origins to destinations are shown below: ORIGIN DISTRIBUTION CENTERS DC1 DC2 DC3 Cagayan de Oro 6 4 Davao 6. 3 REQUIRED: Draw the network model and create the linear programming of this transportation problem.
- 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.Pro-Carpet company manufactures carpets in Northwest Indiana and delivers them to warehouses and retail outlets. The network diagram is given in the figure below shows the possible routes and distances from the carpet plant in Valparaiso to the various warehouses or retail outlets. 12 11 13 Hi 6 15 20 10 M НаS7.12. The Federal Parcel Service wants to build a new distribution cen- ter in Charlotte, North Carolina. The center needs to be in the vicinity of uncongested Interstate-77 and Interstate-85 interchanges and the Char- lotte-Douglas International Airport. The coordinates of these three sites and the number of weekly packages that flow to each are as follows: 1-77 1-85 Airport X= 14 X= 20 X= 30 y = 30 y = 8 ソ=14 w = 17,000 w = 12,000 W = 9000 Determine the best site location using the center-of-gravity technique.
- 9-39. Grey Construction would like to determine the leastexpensive way of connecting houses it is buildingwith cable TV. It has identified 11 possible branchesor routes that could be used to connect the houses.The cost in hundreds of dollars and the branches aresummarized in the following table.(a) What is the least expensive way to run cable tothe houses?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.)Find a minimum spanning tree for the network in Figure 68.