IE-425 Plant Location and Layout Homework 1 1. Tompkins et al. 3rd edition, Problem 10.2, page 647. The XYZ Company has six retail sales stores in the city of Raleigh. The company needs a new warehouse facility to service its retail stores. The location of the stores and the expected delivery per week from the warehouse to each store are: Store 1 2 3 4 5 6 Location (miles) (1,0) (2,5) (3,8) (1,6) (-5,-1) (-3,-3) Expected Deliveries 4 7 5 3 8 3 Assume that travel distance within the city of Raleigh is rectilinear and that after each delivery the delivery truck must return to warehouse. If there are no restrictions on the warehouse location, where should it be located? 2. Tompkins et al. 3rd edition, Problem 10.4, page 647. a) Six housing subdivisions within a city area are targeted for emergency service by a centralized fire station. Where should the new fire station be located such that the maximum rectilinear travel distance is minimized? The centroid locations (in miles) and total value of the houses in the subdivisions are as follows: Subdivision A B C D E F X-Coordinate 20 25 13 25 4 18 Y-Coordinate 15 25 32 14 21 8 Total Value(mil.) 50 120 100 250 300 75 b) How does the answer change if all houses are valued equally? 3. Tompkins et al. 3rd edition, Problem 10.6, page 648. A new elementary school is needed in a suburban area of Detroit, Michigan. After extensive research, the school board has narrowed down its choice to three possible sites. The locations for the current residential areas, expected students from each residential area, and possible locations for the school are shown in the tables below. Determine the optimal location for the new elementary school such that the total distance the students have to travel is minimized. It is fair to assume that the construction cost for all three sites are similar and distance is measured rectilinearly. Residences A B C D E X-Coordinate 20 36 62 50 25 Y-Coordinate 25 18 37 56 0 Weight 600 400 500 300 200 Possible sites for the new elementary school: Possible Sites 1 2 3 X-Coordinate 50 30 65 Y-Coordinate 50 45 28 4. You are considering three existing buildings for a distribution center and outlet store in various parts of Ankara. The factors and the scores for each factor of each site are given below. A. Which site do you select if all factors are weighted equally? B. Which site do you select if operating cost and parking are weighted double the other factors? Factor A B C Transportation access 80 70 60 Parking 30 45 80 Shopping area 80 90 50 Warehouse space 60 70 90 Operating cost 60 80 90 Neighborhood 90 90 50