Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 11.8, Problem 25P
Summary Introduction
Interpretation: Rectilinear distance and Euclidean distances for the exiting facilities located at different points are to be calculated.
Concept Introduction:
Rectilinear distance refers to the sum of the distance between two facilities, whereas Euclidean distance is nothing but the simple measurement of a straight line lies between two facilities.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
If there are five factories in the district, with locations and size given in the following table, use the center-of-gravity method to determine at which factory the central office should be placed to minimize the average distance between the office and employees.
Location
A
B
C
D
E
(X,Y)
(5,5)
(0,5)
(0,0)
(5,0)
(2,1)
Size (Employees)
2500
1000
10000
4500
7500
A company that handles hazardous waste wants to minimize the shipping cost for shipments to a disposal center from five receiving stations it operates. The locations of the receiving stations and the volumes to be shipped daily are given in the below table:
Location
( x, y )
Daily Volume
( in truck loads )
A
(5.70,5.00)
15
B
(4.00,7.70 )
9
C
(1.90,2.80 )
18
D
(2.10,5.20 )
16
E
(7.50, 6.30)
17
1. Which one of the following coordinate is closest to the optimal location using median method?
a) (4.00,5.20) b) (4.00,3.64) c) (2.60,5.20) d) (5.80,3.12)
2. Which one of the following coordinate is closest to the optimal location using gravity method?
a) (4.22,4.62) b) (5.91,6.16) c) (4.22,5.13) d) (5.28,5.13)
3. Which one of the following is closest to the total distance traveled (optimal objective function value) using Rectilinear distance measure for the optimal median solution?
a) 241 b)352 c)157 d)133
I have two locations where I will be delivering goods. Vaalbara is located at coordinates (10,0) and I have 10 truckloads going to it. Kenorland is located at coordinates (20,20) and I have 40 truckloads going to it. What is the center of gravity's X coordinate? Round to the nearest whole number (e.g. 33.2 -> 33).
I have two locations where I will be delivering goods. Vaalbara is located at coordinates (10,0) and I have 10 truckloads going to it. Kenorland is located at coordinates (20,20) and I have 40 truckloads going to it. What is the center of gravity's Y coordinate? Round to the nearest whole number (e.g. 33.2 -> 33). 0*10 + 20*40 = 800. Sum of loads = 50. Y coordinate = 16
Chapter 11 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.4 - Prob. 7PCh. 11.4 - Prob. 8PCh. 11.5 - Prob. 10PCh. 11.6 - Prob. 11P
Ch. 11.6 - Prob. 12PCh. 11.6 - Prob. 13PCh. 11.6 - Prob. 14PCh. 11.6 - Prob. 15PCh. 11.6 - Prob. 16PCh. 11.6 - Prob. 17PCh. 11.6 - Prob. 18PCh. 11.6 - Prob. 19PCh. 11.7 - Prob. 20PCh. 11.7 - Prob. 21PCh. 11.7 - Prob. 22PCh. 11.7 - Prob. 23PCh. 11.8 - Prob. 24PCh. 11.8 - Prob. 25PCh. 11.8 - Prob. 26PCh. 11.8 - Prob. 27PCh. 11.9 - Prob. 28PCh. 11.9 - Prob. 29PCh. 11.9 - Prob. 30PCh. 11.9 - Prob. 31PCh. 11.9 - Prob. 32PCh. 11.9 - Prob. 33PCh. 11.9 - Prob. 34PCh. 11.9 - Prob. 35PCh. 11.9 - Prob. 36PCh. 11.9 - Prob. 37PCh. 11.9 - Prob. 38PCh. 11.10 - Prob. 39PCh. 11.10 - Prob. 40PCh. 11.10 - Prob. 41PCh. 11.11 - Prob. 42PCh. 11.11 - Prob. 43PCh. 11.11 - Prob. 45PCh. 11 - Prob. 46APCh. 11 - Prob. 47APCh. 11 - Prob. 48APCh. 11 - Prob. 49APCh. 11 - Prob. 50APCh. 11 - Prob. 51APCh. 11 - Prob. 52APCh. 11 - Prob. 53APCh. 11 - Prob. 54APCh. 11 - Prob. 55APCh. 11 - Prob. 56APCh. 11 - Prob. 58AP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Potential locations A and B have the cost structure shown below for manufacturing a product expected to sell for $7/unit. Make use of the graphical analysis discussed in the class, and choose all options that are true. Let "x" denote the number of units produced Cost details for locations A & B Fixed cost ($) 0 1200 Location A B Check All That Apply It x less than equal to 896, choose location A If x=800 units, choose location B Variable cost ($/unit) 12/7 3/8 Ifx-1000, choose location Barrow_forwardConsider you are an owner of one IT organization with 200 employees and youwant to keep track of the location information of each employee. You know thatnone of the employees will go out from the city and the radius of the city is 50 km.What kind of location measure technique will be appropriate for you to keep trackcontinuous location information?arrow_forwardConsider you are an owner of one IT organization with 200 employees and you want to keep track of the location information of each employee. You know that none of the employees will go out from the city and the radius of the city is 50 km. What kind of location measure technique will be appropriate for you to keep rack of continuous location information? Explain with proper justification. Also, show how your chosen location measurement is better than the other ones.arrow_forward
- Consider you are an owner of one IT organization with 200 employees and youwant to keep track of the location information of each employee. You know thatnone of the employees will go out from the city and the radius of the city is 50km. What kind of location measure technique will be appropriate for you to keeptrack of continuous location information? Explain with proper justification. Also,show how your chosen location measurement is better than the other ones.arrow_forwardAn operations manager wants to use gravity location approximation to decide the location of a warehouse. The x and y coordinates of three customer locations, demand (D) at those locations, and transportation costs per unit per mile (F) are presented in the table below. Help the operations manager by finding the approximate location of the warehouse. Customers y F 1 10 20 1 10 2 20 1 20 3 10 10 2 10 x=20, y=10 x=14, y=10 x=10, y=14 x=13.3, y=11.7 O x=10, y=15arrow_forwardDesign a spreadsheet to compute the total rectilinear distance from a set of up to10 existing locations to any other location. Assume that existing locations areplaced in Columns A and B and the new location in cells D1 and E1. Initializecolumn A with the value of cell D1 and column B with the value of cell E1, so thatthe total distance will be computed correctly when there are fewer than10 locations.a. Suppose that existing facilities are located at (0, 0), (5, 15), (110, 120), (35, 25),(80, 10), (75, 20), (8, 38), (50, 65), (22, 95), and (44, 70), and the new facility is tobe located at (50, 50). Determine the total rectilinear distance of the new facilityto the existing facilities.b. Suppose the new facility in part (a) can be located only at x =0, 5, 10, . . . , 100and y = 0, 10, 20, . . . , 100. By systematically varying the x and y coordinates,find the optimal location of the new facilityarrow_forward
- Oscar’s Bowling, Inc., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe Scottsdale Chandler Mesa Glendale 250,000 400,000 300,000 700,000 350,000 5 5 5 10 1 5 10 0 1 10 a. Where should Oscar build? b. If Oscar wanted to relocate to the closest city near his new facility, where would he live?arrow_forwardA toy manufacturer produces toys in five locations throughout the country. Raw materials (primarily barrels of powdered plastic) will be shipped from a new, centralized warehouse whose location is to be determined. The monthly quantities to be shipped to each location are the same. A coordinate system has been established, and the coordinates of each location have been determined as shown. Determine the coordinates of the centralized warehouse.Location (x,y)A 3,7B 8,2C 4,6D 4,1E 6,4arrow_forwardOscar's Bowling, Inc., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe 275,000 5 5 Scottsdale 415,000 5 10 Chandler 310,000 5 0 Mesa 660,000 10 1 Glendale 335,000 1 10 a. Where should Oscar build? Oscar should build at an x coordinate of nothing and a y coordinate of nothing. b. If Oscar wanted to relocate to the closest city near his new facility, where would he live? (Enter your responses rounded to one decimal place.)arrow_forward
- 1. Using the center-of-gravity method, compute the centralized coordinates among the following locations, which are indicated via black cells with white text in LOCATION.xlsx: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 2. Using the weighted average center-of-gravity, which accounts for quantities to be shipped from locations, compute the centralized coordinates among the following locations: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 *Quantities to be shipped are listed within the existing locations (i.e. Location 7,1 ships 17 units) in LOCATION.xlsxarrow_forwardGiven the following existing facilities data: Existing facility #1 has weight 2 and coordinate (9, 10). Existing facility #2 has weight 10 and coordinate (6, 8). Existing facility #3 has weight 8 and coordinate (-3, -3). Existing facility #4 has weight 9 and coordinate (5, 2). Existing facility #5 has weight 3 and coordinate (-7, -1). Existing facility #6 has weight 7 and coordinate (-2, -6). Existing facility #7 has weight 4 and coordinate (-5, 0). Existing facility #8 has weight 3 and coordinate (4, -7). What is the optimal minisum rectilinear x-coordinate? What is the optimal minisum rectilinear y-coordinate? What is the optimal minisum rectilinear objective function value? Need allarrow_forwardA food manufacturer wants to locate a warehouse to serve its major customers. The customers, annual volume and the X and Y coordinates are shown in the table below. Customer Annual Volume X Coordinate Y Coordinate Judy Inc 25 3 7 Zac Supermarket 13 5 2 Harry Inc 6 8 4 Sky Productions 4 1 5 Using the centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.