Recently, Gracia et. al. (2005) and Uchida et. al. (2007) proposed a combined mode and route choice network
equilibrium model which consider “common lines problem” is passengers’ assignment model.
All of the combined equilibrium models mentioned above are based on trip-based approach, in which travellers
are assigned in the trip unit. Therefore, even if a person travel more than two trips in a day (which is not a rare case
in reality), their trips (in short, trip-chain) is divided into a single trip and treat as if different persons travel each of
the trip. This assumption might cause underestimate the effect of the improvement of the public transportation
service since a traveller who chooses an automobile might shift to the public transportation regarding to a part of
their trip-chain but they are allowed to stick to an automobile regarding to the rest of their trip-chain. (In reality,
travellers would change their trip modes regarding to whole of their trip-chain.) To overcome this problem,
Maruyama et. al. (2005) proposed a trip-chain based network equilibrium model and they further evaluate the areabased
cordon pricing scheme using their proposed model. (Maruyama et. al. (2006)) One of the features of their
model is that it is a simple extension of the traditional equilibrium model and it can applied to the traditional
solution algorithm.
Based on these backgrounds, this paper proposes a trip-chain based mode and route choice network equilibrium
model which considers “common lines problem” in a transit assignment. The expression of trip-chain in a network
follows Maruyama et. al. (2005). The rest of the paper structure is as following; Section 2 formulates the proposed
model and Section 3 shows the solution algorithm of the proposed model. Then, Section 4 illustrates a case study for
a simple network and finally, Section 5 summarise the paper.
Recently, Gracia et. al. (2005) and Uchida et. al. (2007) proposed a combined mode and route choice network
equilibrium model which consider “common lines problem” is passengers’ assignment model.
All of the combined equilibrium models mentioned above are based on trip-based approach, in which travellers
are assigned in the trip unit. Therefore, even if a person travel more than two trips in a day (which is not a rare case
in reality), their trips (in short, trip-chain) is divided into a single trip and treat as if different persons travel each of
the trip. This assumption might cause underestimate the effect of the improvement of the public transportation
service since a traveller who chooses an automobile might shift to the public transportation regarding to a part of
their trip-chain but they are allowed to stick to an automobile regarding to the rest of their trip-chain. (In reality,
travellers would change their trip modes regarding to whole of their trip-chain.) To overcome this problem,
Maruyama et. al. (2005) proposed a trip-chain based network equilibrium model and they further evaluate the areabased
cordon pricing scheme using their proposed model. (Maruyama et. al. (2006)) One of the features of their
model is that it is a simple extension of the traditional equilibrium model and it can applied to the traditional
solution algorithm.
Based on these backgrounds, this paper proposes a trip-chain based mode and route choice network equilibrium
model which considers “common lines problem” in a transit assignment. The expression of trip-chain in a network
follows Maruyama et. al. (2005). The rest of the paper structure is as following; Section 2 formulates the proposed
model and Section 3 shows the solution algorithm of the proposed model. Then, Section 4 illustrates a case study for
a simple network and finally, Section 5 summarise the paper.
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