a. If traffic between the staging area and the first two construction sites (2,2) and (1,4) is 50 trips per week and the traffic between the staging area and the construction area at (5,5) is 20 trips per week, what is the best coordinates for theequipment staging area?
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- NETWORK FLOW OPTIMIZATION - EXAMPLE • Distribution network for a single product Two production plants P1 and P2 Plant P1 has unlimited supply capacity, Plant P2 has a supply capacity of 60,000 units/year Production cost is the same at both plants. Two warehouses W1 and W2 with identical warehouse handling costs and both having unlimited capacity. • Three market areas C1, C2 and C3 with demand of 50000, 100000 and 50000 units/year. • Unit transportation costs: W1 W2 Plant →→ Warehouse P1 P2 $0 $4 $5 $2 Warehouse →→ Market Center C1 C2 C3 $3 $4 $5 $2 $1 $2Problem 3: Regional Office Coordiantes (x,y) N Tampa Post Office must be relocated by other in a new location, much bigger and modern, to be able to absorb the huge mail flow. Ybor City -10,5 3 Davis Island -3,8 Dale-Mabry Given received and delivered mailing, is transported from regional offices to the central office, the new location can produce significant differences about the deliverance efficiency, as in terms of cost as time. Using the data represented in the attached table, calculate the location for the new facilities as the center of -4,7 Palma Cela -15,1 Bayshore -13,3 Temple Terrace -1,12 Hyde Park N = Number of delivery trucks per day -5,5 10 gravity.Explain the assumptions behind centre of gravity method and explain how the mode can be used in a service facility location ?
- Problem 1: RRR Distributors Corporation has four sales territories, each of which must be assigned a sales representative. From past experience the firm's sales manager has estimated the sales volume for each sale representative in each territory. Find the sales representative territory assignments that will maximize sales (data given in millions). Sales Representative Emmalou Geraldine A 56 66 B 44 45 49 37 District Aubrey Margareth A. Determine a set of assignments that will minimize the total cost? B. What is the total cost? C. Provide the linear programming/algebraic expression that will satisfy the objective of the analyst. 53 36 C 56 49 58 39 D 55 71 49 45Briefly explain what is location service facilities?West Indies Batting Inc is again on the rise due to the increasing sale of cricket bats throughout the region. BATS R’ US, a cricket bat-making company located in Charlestown, Nevis has been at the forefront of this increasing sales for cricket bats. The monthly demand in sales at BATS R’ US is provided in the table below. 1. Compute a three-period moving average and a four-period moving average for weeks 5, 6, and 7. 2. Compute the MAD for both forecasting methods. 3. Which model is more accurate? 4. Forecast week 8 with the more accurate method. Month Sale of bats 1 119 2 147 3 189 4 217 5 133 6 119 7 147
- The north-south highway system passing through Albany, New York can accommodate the capacities shown in the table below. From To Capacities 1 2 3 1 3 6 1 4 3 2 4 2 2 5 4 3 4 3 3 6 2 4 2 2 4 3 3 4 5 2 4 6 3 5 2 4 5 4 2 5 6 6 How many units go from Node 1 to 3 and 4 to 2, respectively, in order to maximize the flow. a. 5 and 1. b. 5 and 2. c. none of the answers proposed apply d. 6 and 1. e. 6 and 2.Explain what is analytic Delphi method and what are the steps are involved in this method in facility location?Facility Location. A paper products manufacturer has enough capital to build and manage some additional manufacturing plants in the United States in order to meet increased demand in three cities: New York City, NY; Los Angeles, CA; and Topeka, KS. The company is considering building in Denver, CO; Seattle, WA; and St. Louis, MO. Max Operating Capacity 400 tons/day 700 tons/day Denver Seattle $10/ton $17/tor $5/ton $11/ton.... $18/ton.... $28/ton Los Angeles Topeka New York City Figure 1: Graphical representation of the given data = • The cost fi of building plants in these cities is fi $10,000,000 in Seattle. Unmet Demand 300 tons/day 100 tons/day 500 tons/day • Due to geographic constraints, plants in Denver and Seattle would have a maximum operating capacity kį of 400 tons/day and 700 tons/day respectively. $5,000,000 in Denver and f2 = • The cost cij per ton of transporting paper from city i to city j is outlined in Figure 1. • The unmet demand d, for Los Angeles, Topeka, and New…
- Exercise 17 Transportation and Assignment Problems A company has factories A, B, and C which supply warehouses X, Y, and Z. Daily factory capacities are 4, 6, and 8 units, respectively. Daily warehouse demands are 2, 5, and 11 units, respectively. Unit shipping costs (in hundreds of pesos) are shown below. 1. Use the Northwest Corner Rule to find the initial solution. 2. Use the Stepping-Stone Method to find the minimal shipping costs. Warehouse Factory XYZ Capacity A 22 3 4 216 6 C 134 8. Demand 2 5 11 3. A taxi company has four available taxis (A, B, C, and D) and four calls for taxi service (W, X, Y, and Z). The distance in kilometers between the taxis and the customers are given in the table below. Use the Hungarian Method to assign the taxis to customers so that the distance needed to pick them up is a minimum. Customer Taxi W X Y Z A 10 8 4 6 B 6 4 12 8 C 14 10 8 2 D 4 14 10 8ABC Bank is thinking of opening a new branch in a certain city besides its existing branches due tocustomers’ complaints of long waiting lines and distant of existing branches from them. As an expertin field of banking operations, you were asked to put the criteria of choosing the new location a- What and why would be the type of the quantity used in the break even analysis and what would be the suitable methods to use to achieve faster break even b- If you were asked to choose a mechanism for forecasting the number of transactions per day, what would be the methodology that you will use to decide such forecasting method and what do you think this method may be?PROBLEM 2 From the next network, answer the questions. 8 A D 9. 6. G S 17 15 8 24 2 2 20 8 F H 11 22 14 5 3 18 4 8 B E U 5 a) Find the maximum flow from points A and B to point U, using the augmented path algorithm. b) Model this maximum flow problem according to minimum cost flow modeling (minimization) c) Model this_problem in maximization.