Attah & Sons is a residential Internet Service Provider (ISP) in the central Accra area. Presently, the company operates one centralized facility that all of its clients call into for internet access. To improve service, the company is planning to open three satellite offices in the cities of Tamale, Kumasi and Secondi. The company has identified five different regions to be serviced by these three offices. Table 1 summarizes the number of customers in each region, the service capacity at each office, and the average monthly cost per customer of providing service to each region from each office. Table entries of “n.a." indicate infeasible region to service center combinations. Attah & Sons wants to determine how many customers from each region to assign to each service center in order to minimize cost. Table 1: Attah & Sons Data table Region Sekondi Kumasi Tamale Customers 1 GH¢6.50 GH¢7.50 n.a. 30,000 2 GH¢7.00 GH¢8.00 n.a. 40,000 3 GH¢8.25 GH¢7.25 GH¢6.75 25,000 4 n.a. GH¢7.75 GH¢7.00 35,000 n.a. GH¢7.50 GH¢6.75 33,000 Сарacity 60,000 70,000 40,000 QUESTION Draw a network flow model to represent this problem.
Attah & Sons is a residential Internet Service Provider (ISP) in the central Accra area. Presently, the company operates one centralized facility that all of its clients call into for internet access. To improve service, the company is planning to open three satellite offices in the cities of Tamale, Kumasi and Secondi. The company has identified five different regions to be serviced by these three offices. Table 1 summarizes the number of customers in each region, the service capacity at each office, and the average monthly cost per customer of providing service to each region from each office. Table entries of “n.a." indicate infeasible region to service center combinations. Attah & Sons wants to determine how many customers from each region to assign to each service center in order to minimize cost. Table 1: Attah & Sons Data table Region Sekondi Kumasi Tamale Customers 1 GH¢6.50 GH¢7.50 n.a. 30,000 2 GH¢7.00 GH¢8.00 n.a. 40,000 3 GH¢8.25 GH¢7.25 GH¢6.75 25,000 4 n.a. GH¢7.75 GH¢7.00 35,000 n.a. GH¢7.50 GH¢6.75 33,000 Сарacity 60,000 70,000 40,000 QUESTION Draw a network flow model to represent this problem.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 29P
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