Asked by Archit Barua on Jun 22, 2024
Verified
Suppose that a bus company is deciding where to locate its central hub. There are 6 possible destinations for the buses. Suppose that the centre of town will be used as the reference for describing the possible destinations. A is located 5 miles South and 3 miles West. B is located 3 miles North and 2 miles East. C is located 1 mile South and 5 miles East. D is located 2 miles North and 3 miles West. E is located exactly in the centre of town. F is located 10 miles North and 5 miles East. Assume that traffic to each destination will be equal. Where should the hub go so that travel time is minimized?
Central Hub
Central hub refers to a focal point or a core center where activities, processes, or networks converge, often used to optimize distribution or communication.
Travel Time
The duration required to move goods or personnel from one location to another.
Destinations
Locations or places toward which something or someone is going.
- Apply quantitative methods to determine optimal facility locations.
- Measure the midpoint of gravity across diverse situations to cut transportation costs.
Verified Answer
SM
Sarah MarroquinJun 23, 2024
Final Answer :
Since each site has the same demand the coordinates can simply be averaged. Converting the centre of town to (0,0) will mean that coordinates that are labeled South become -y and those labeled West become -x, while North becomes +y and East +x. Thus the location is found to be:
X = (-3 + 2 + 5 - 3 + 0 + 5)/6 = 1
Y = (-5 + 3 - 1 + 2 + 0 + 10)/6 = 1.5
Converting back into direction yields 1 mile East and 1.5 miles North of the centre of town should be the location for the hub.
X = (-3 + 2 + 5 - 3 + 0 + 5)/6 = 1
Y = (-5 + 3 - 1 + 2 + 0 + 10)/6 = 1.5
Converting back into direction yields 1 mile East and 1.5 miles North of the centre of town should be the location for the hub.
Learning Objectives
- Apply quantitative methods to determine optimal facility locations.
- Measure the midpoint of gravity across diverse situations to cut transportation costs.
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