In a metropolitan area, 45,000 people want to travel from the city suburbs to the city center. To do so, they can drive, take a city bus, or use the subway system. If x1 number of people drive and x2 number of people take a bus, it will take respectively (0.0006 x1 + 30) and (0.0003 x2 + 40) minutes to make the trip; whereas a subway trip is expected to take 45 minutes. The city bus system can transport a maximum of 20,000 people to the city center, while the subway system has a capacity of transporting at most 10,000. Write a programming formulation that minimizes the average travel time for each person.
In a metropolitan area, 45,000 people want to travel from the city suburbs to the city center. To do so, they can drive, take a city bus, or use the subway system. If x1 number of people drive and x2 number of people take a bus, it will take respectively (0.0006 x1 + 30) and (0.0003 x2 + 40) minutes to make the trip; whereas a subway trip is expected to take 45 minutes. The city bus system can transport a maximum of 20,000 people to the city center, while the subway system has a capacity of transporting at most 10,000. Write a programming formulation that minimizes the average travel time for each person.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section10.6: The Effects Of Input Distributions On Results
Problem 28P
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In a metropolitan area, 45,000 people want to travel from the city suburbs to the city center. To do so, they can drive, take a city bus, or use the subway system. If
x1 number of people drive and x2 number of people take a bus, it will take respectively (0.0006 x1 + 30) and (0.0003 x2 + 40) minutes to make the trip;
whereas a subway trip is expected to take 45 minutes. The city bus system can transport a maximum of 20,000 people to the city center, while the subway system
has a capacity of transporting at most 10,000. Write a programming formulation that minimizes the average travel time for each person.
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