2000
DOI: 10.1016/s0191-2615(99)00024-7
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Modeling the capacity and level of service of urban transportation networks

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Cited by 155 publications
(104 citation statements)
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“…The relationship between the link flow and route flow is represented in equation (13), where d pq a, r represents the link-route incidence indicator, which equals 1 if link a is on route r from p to q and 0 otherwise. All the variables must be nonnegative, that is, constraints (14)- (16).…”
Section: Upper-level Problemmentioning
confidence: 99%
“…The relationship between the link flow and route flow is represented in equation (13), where d pq a, r represents the link-route incidence indicator, which equals 1 if link a is on route r from p to q and 0 otherwise. All the variables must be nonnegative, that is, constraints (14)- (16).…”
Section: Upper-level Problemmentioning
confidence: 99%
“…The capacity of a network indicates the maximum attainable throughput of the given network 8 . In the conventional network, the capacity problem is very easy to state: if a network has capacities on arc flows, how to send as much flow as possible from an origin node to a destination node without exceeding the capacity of any arc.…”
Section: General Statementsmentioning
confidence: 99%
“…Meanwhile, the researchers made a longterm effort to model and estimate the maximum throughput of transportation networks. The achievements include maxflow min-cut theorem [1], incremental assignment approach [2], and later bilevel programming models [3][4][5].…”
Section: Introductionmentioning
confidence: 99%
“…But it assumes that the O-D distribution is totally variable, which may produce unrealistic results that cause the trip productions at some origins below their current levels. Furthermore, Yang et al [4] suggested that the new increased O-D demand pattern should be variable in both level and distribution, while the current travel demand is fixed. Later, Yang's model was also referred to as the practical capacity by Kasikitwiwat and Chen [5].…”
Section: Introductionmentioning
confidence: 99%