ormulate an integer linear program that can be used to determine the minimum number of service facilities needed and their location (let x. be the 0-1 variable which is 1 if a service facility is constructed in city and 0
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- Travelling Salesman Problem (TSP); Given the following distance matrix, use the nearest neighbor (NN) heuristic to find a route that starts from the warehouse (W), visits each customer only once, and finishes at the warehouse to minimize the distance traveled. What is the route and the corresponding distance? Distances W 1 2 3 4 in miles 18 57 27 50 18 0 65 29 61 57 65 0 36 99 3 27 29 36 0 76 4 50 61 99 76 Route=W-1-3-2-4, Distance=182 miles Route=W-3-1-2-4-W, Distance=270 miles Route = W-3-1-2-4, Distance=220 miles Route=W-1-3-2-4-W, Distance=232 miles Route=W-1-3-4-2, Distance=272 miles 1, 2.Foster Generators operates plants in Cleveland, Bedford, and York and supplies to four distribution centers. The production capacity, demand, and cost of transportation per unit is provided in the table. Draw the Transportation Network for Foster GeneratorsCars-to-Dealers Logistics Inc. is the exclusive logistics provider for the Summit Motor Co. and has responsibilityfor transporting cars from Summit’s 3 manufacturing plants in Toledo, OH; Charlotte, NC and Savannah, GA tothe 7 regional dealer locations as in the tables provided in your dataset. To do this, Cars-to-Dealers uses threetransshipment facilities and all cars in the distribution network pass through these transshipment facilities.Dataset also contains the information about the capacities of each of these transshipment facilities, the demandrequirement at each of the regional dealer locations and the unit cost to ship one car between the variouslocations.In addition to supply of cars (manufacturers) and demand for cars (dealers) there are two types of constraintsfor each transshipment facility:1. Balance flow constraints: dictate that all cars flowing into a transshipment facility should also flow out of thetransshipment facility – i.e. no inventory of cars should remain at…
- Determine an initial basic feasible solution to the following transportation problem by using (a) NWCM, (b) LCM, and (c) VAMUsing the “Transportation Matrix”, solve the transportation problem below using the Northwest Corner and Intuitive Lowest-Cost methods. Use the Northwest Corner method result as the starting point and solve for the optimal solution using the Stepping-Stone method. Show all steps and all calculations when doing the Stepping-Stone method. Plants Supply Destination Demand Kansas City 35 Chicago 30 Omaha 50 St louis 65 Des Moines 50 Cincinnati 40 Total 135 Tons Total 135 Tons transport cost form Plants to Destinations ($/Ton) Plants Chicago St louis Cincinnati Kansas city $ 4.00 $ 3.00 $ 3.00 Omaha $ 6.00 $ 7.00 $ 6.00 Des Moines $ 8.00 $ 2.00 $ 5.00 A. Northwest Corner method B. Intuitive Lowest-Cost method C. Stepping-Stone methodExplain the relationship between the number of facilities and transportation cost and draw the graph
- Linear Programming & Transportation Model - scenario/case (simple example) that can be analyzed by using linear-programming/transportation model specifically in identifying the decision variables, constraints and objective function (goals). - Supply and chain operations specificallyThe Thor International Company operates four factories that ship products to five warehouses. The shipping costs, requirements, and capacities are shown in the tableau below. Use the transportation method to find the shipping schedule that minimizes shipping cost. Shipping Cost per Case to each Warehouse W2 Factory Сарacity W1 W3 W4 W5 Dummy $5 $5 $4 $7 $0 F1 60,000 $4 $5 $4 $6 $8 $0 F2 80,000 $6 $5 $7 $4 $5 $0 F3 80,000 $5 $9 $6 $7 $4 $0 F4 40,000 Demand 45,000 40,000 30,000 35,000 50,000 60,000 260,000 The minimum shipping cost is S | (Enter your response as a whole number.)Logistics Consultants Inc. (LCI) provides various logistics analysis services to other firms, including facility location decisions. They have just completed a project for a major customer, but on the eve of their presentation they discovered a computer malfunction had partially deleted some of their data. One file that was impacted contains the final factor rating results. Following are the partial results they were able to recover. As you'll notice, some ratings are missing. FACTOR Availability of labor Availability of utilities. Transportation infrastructure Warehousing availability/costs Proximity to customers Business climate. Taxation structure Quality of life MAX POINTS 150 130 80 75 65 40 30 25 CITY X - RATINGS 130 122 73 72 59 30 22 CITY Y 123 110 3 299 63 24 17 If you were the project manager for LCI, what would you recommend given that you are missing some crucial data? O City X O City Y O They are equally attractive O There is insufficient information provided to answer…
- Logistics Managememt Question "Organizations must continually improve its logistics in order to remain competitive.’’ Critically analyse this statement.A company is considering four modes of transportationfor its shipments. It plans to ship 32 pallets weighing500 pounds each from Salt Lake City, Utah to Reno,Nevada at a distance of 518 miles. What is the best way tomake these shipments given the following information?Prescott Industries transports sand and stone extracted from its open-pit mines located in Odessa and Bryan to its concrete block manufacturing facilities in Abilene, Tyler and San Angelo. For the capacities, locations, and shipment costs per truckload shown in the tableau below, determine the shipping pattern that will minimize transportation costs. What are the estimated transportation costs associated with this optimal allocation pattern? Source Odessa Bryan Demand Source Odessa Bryan Abilene $90 Demand $45 4,500 Abilene $90 $45 Destination Tyler 4,500 $25 $90 Fill in the tableau below by indicating the optimal number of shipments from a source to a destination in each cell. (Enter your responses as whole numbers. A response of "0" is equivalent to no shipments being planned.) The corresponding optimal total cost is $ 8,400 Destination Tyler $25 $90 San Angelo $75 8,400 $50 6,100 San Angelo $75 $50 Capacity 6,100 8,400 10,600 Capacity 8,400 10,600 (Enter your response as a whole…