A select link analysis method based on logit–weibit hybrid model

Journal of Modern Transportation, Sep 2017

Select link analysis provides information of where traffic comes from and goes to at selected links. This disaggregate information has wide applications in practice. The state-of-the-art planning software packages often adopt the user equilibrium (UE) model for select link analysis. However, empirical studies have repeatedly revealed that the stochastic user equilibrium model more accurately predicts observed mean and variance of choices than the UE model. This paper proposes an alternative select link analysis method by making use of the recently developed logit–weibit hybrid model, to alleviate the drawbacks of both logit and weibit models while keeping a closed-form route choice probability expression. To enhance the applicability in large-scale networks, Bell’s stochastic loading method originally developed for logit model is adapted to the hybrid model. The features of the proposed method are twofold: (1) unique O–D-specific link flow pattern and more plausible behavioral realism attributed to the hybrid route choice model and (2) applicability in large-scale networks due to the link-based stochastic loading method. An illustrative network example and a case study in a large-scale network are conducted to demonstrate the efficiency and effectiveness of the proposed select link analysis method as well as applications of O–D-specific link flow information. A visualization method is also proposed to enhance the understanding of O–D-specific link flow originally in the form of a matrix.

A PDF file should load here. If you do not see its contents the file may be temporarily unavailable at the journal website or you do not have a PDF plug-in installed and enabled in your browser.

Alternatively, you can download the file locally and open with any standalone PDF reader:

https://link.springer.com/content/pdf/10.1007%2Fs40534-017-0139-5.pdf

A select link analysis method based on logit–weibit hybrid model

A select link analysis method based on logit-weibit hybrid model Pengjie Liu 0 1 2 Xiangdong Xu 0 1 2 Anthony Chen 0 1 2 Chao Yang 0 1 2 Longwen Xiao 0 1 2 0 School of Traffic and Transportation Engineering, Central South University , Changsha , China 1 Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University , Kowloon , Hong Kong 2 & Xiangdong Xu Select link analysis provides information of where traffic comes from and goes to at selected links. This disaggregate information has wide applications in practice. The state-of-the-art planning software packages often adopt the user equilibrium (UE) model for select link analysis. However, empirical studies have repeatedly revealed that the stochastic user equilibrium model more accurately predicts observed mean and variance of choices than the UE model. This paper proposes an alternative select link analysis method by making use of the recently developed logit-weibit hybrid model, to alleviate the drawbacks of both logit and weibit models while keeping a closed-form route choice probability expression. To enhance the applicability in large-scale networks, Bell's stochastic loading method originally developed for logit model is adapted to the hybrid model. The features of the proposed method are twofold: (1) unique O-D-specific link flow pattern and more plausible behavioral realism attributed to the hybrid route choice model and (2) applicability in large-scale networks due to the link-based stochastic loading method. An illustrative network example and a case study in a large-scale network are conducted to demonstrate the efficiency and effectiveness of the proposed select link analysis method as well as applications of O-D-specific link flow information. A visualization method is also proposed to enhance the understanding of O-D-specific link flow originally in the form of a matrix. Select link analysis; Logit model model; Hybrid model; Bell loading; Weibit - The Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai, China 1 Introduction Select link analysis provides information of where traffic comes from and goes to at selected links, i.e., the spatial distribution and origin–destination (O–D) pair composition of aggregate link flow. This disaggregate information has wide applications in practice. For example, this disaggregate information enables to quantify or predict the impact of transportation planning, operations, control and management schemes from multiple perspectives such as congestion alleviation, environmental sustainability and inequity. In detail, we need this information to examine the spatial impacts of a proposed road improvement project. Although the License Plate Recognition system can track partial paths of vehicles to analyze link flow composition, it is still unable to cover the whole transportation network. More importantly, the traffic condition after implementing a transportation planning or management scheme cannot be observed beforehand. Moreover, the state-of-the-art planning software packages often adopt the user equilibrium (UE) model for select link analysis. It is well known that the O–D-specific link flow in the UE model is non-unique, hence requiring an additional criterion for selecting a reasonable solution. To resolve this dilemma, Lu and Nie [1] explored continuity of the UE link flow, proposed a general resolution based on the maximum entropy UE and decomposed the total flow of a link by O–D pairs to examine the spatial impacts of a transportation project. Later on, Bar-Gera et al. [2] proposed an additional condition of proportionality for select link analysis. On the other hand, empirical studies have repeatedly revealed that the stochastic user equilibrium (SUE) model more accurately predicts observed mean and variance of choices than the UE model (e.g., [3]). Hence, we aim to use a more accurate probabilistic route choice model to develop a new select link analysis method with both behavioral realism and large-scale network applicability. In the literature, there are two main types of closed-form probabilistic route choice models: logit [4] and weibit [5]. As to the logit model, Dial [4] developed a link-based stochastic loading method with a forward pass and a backward pass. Van Vliet [6] derived the link choice probability expression according to link weights based on Dial’s algorithm. Bell [7] proposed two logit assignment methods as alternatives to Dial’s algorithm without path enumeration. Akamatsu [8] utilized the decomposition of path choice entropy to transform path-based into link-based logit assignment. Owing to the homogeneity of variance in the logit model, Nakayama [9] and Nakayama and Chikaraishi [10] presented a q-generalization method based on generalized extreme-value distribution to the random component of utility to allow heteroscedastic variance. Ahipas¸aog˘lu et al. [11] also introduced a marginal distrib (...truncated)


This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2Fs40534-017-0139-5.pdf

Pengjie Liu, Xiangdong Xu, Anthony Chen, Chao Yang, Longwen Xiao. A select link analysis method based on logit–weibit hybrid model, Journal of Modern Transportation, 2017, pp. 1-13, DOI: 10.1007/s40534-017-0139-5