A traffic system could be represented as a network in order to determine bottlenecks using the maximal flow network algorithm. *TrueFalse

Answer Explanation

This statement is True. A traffic system can indeed be effectively represented as a network where intersections are nodes and roads are edges. By applying the maximal flow network algorithm, we can analyze the flow of traffic throughout the network.

1. Network Representation: In a traffic network model, each intersection (like a road junction) represents a vertex (node), while each road between intersections represents an edge. The direction of the road can indicate the permitted direction of traffic flow.

2. Maximal Flow Algorithm: This algorithm aims to find the maximum flow from a source node to a sink node in a flow network. In the context of a traffic system, the source could be an entry point to a city or area, and the sink could be the exit point.

3. Identifying Bottlenecks: By calculating the maximal flow, we can identify parts of the network where the flow is constrained, indicating potential bottlenecks. This information is crucial for traffic management and urban planning.

In conclusion, modeling a traffic system as a network to apply the maximal flow algorithm and determine bottlenecks is a valid and practical approach.