DGCA has granted a license to a new airline, AAA and awarded it several routes between City1 to 6. The flights per day for each route are shown in the following network: Input Output Omaha St. Louis Determine the maximum number of flights the airline can schedule per day from 1 to 6 and indicate the number of flights along each route.
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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, 10By Monday April 16th the following towns will need the numbers of coal cars listed: coal valley 30 Coaltown 45 Coal Junction 25 Coalsburg 20 Using a railway city to city distance chart, the dispatcher constructs a mileage table on this page. Minimizing total miles over which cars are moved to new locations, compute the best shipment of coal cars.Draw the schedual network diagramand duration while calculating the following: Forward pass, backward pass, float and stake.
- John Clooney, a bush pilot in Alaska, makes regular charter flights in his floatplane to various towns and cities in western Alaska. His passengers include hunters, fishermen, backpackers and campers, and tradespeople hired for jobs in the different localities. He also carries some cargo for delivery. The following network shows the possible air routes between various towns and cities John might take (with the times, in hours). For safety reasons, he flies point-to-point, flying over at least one town along a route, even though he might not land there. In the upcoming week John has scheduled charter flights for Kotzebue, Nome, and Stebbins. Determine the shortest route between John’s home base in Anchorage and each of these destinations.The shortest-route technique wouldbest be used to: plan the routes for avacation driving tour.plan the route for a school bus.determine the path for a truck making frequent runsfrom a factory to a warehouse.All of the aboveNone of the aboveRequired information The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respec- tively. Each distribution center heeds to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Plant 1 2 3 1 1450 1750 1250 Distribution Center 3 1050 1250 1450 Obtain an optimal solution, and determine the total cost. Total Cost = $ 2 1950 2050 1850 The freight cost for each shipment is $100 plus 50 cents per mile. 4 1350 1650 1550
- A&B Transport Co. is a company that manages a food supply chain. The problem involves the delivery of cargo (canned peas) from four canneries (loading ports) to three destination ports, using tankers. Since the shipping costs are a major expense for the company, management is initiating a study to reduce them as much as possible. For the upcoming season, has come up with an estimation of the available output from each cannery. Furthermore, each destination port has also specific requirements for the total supply of peas that have to be satisfied. This information (in units of tanker loads), along with the shipping cost per tanker load for each loading - destination port combination, is given in Tables 1 and 2. The problem for the A&B Transport Co. is to determine the shipping strategy given the various loading - destination port combinations, so that the total shipping costs are minimised. Question 1 . A&B Transport Co is thinking of including in its strategy the shipment…nabled: Chapter 6 Network Optimizati. i Help Saved Save & A minimum-cost flow problem has 6 supply nodes, 0 transshipment nodes, and 5 demand nodes. If each supply node can ship to every demand node, how many arcs will be included in the model? Number of arcsThe 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.
- Examine the network below. What is the shortest distance from Node A to D?Solve the following case study using the transportation method:Suppose there is a manufacturing company that produces and distributes its products to various customer locations across the country. This company has three production plants (Plant A, Plant B, and Plant C) located in different locations, and there are also five distribution centers (DC 1, DC 2, DC 3, DC 4, and DC 5) scattered across various regions. Sources Distribution Center DC 1 DC 2 DC 3 DC 4 Capacity Plant A $145 $150 $165 $140 2000 Plant B $175 $135 $120 $165 1250 Plant C $113 $156 $134 $148 1250 Demand 1000 1200 1400 900 The company's goal is to determine the most efficient transportation routes for delivering products from the plants to the distribution centers, considering transportation costs and available capacities.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?