| Van Zuylen, H. J. and Willumsen, L. G. (1980). The most likely trip matrix estimated from traffic counts, Transportation Research, Series B 14: 281--293. |
....because they are often already available and because the cost of additional counts is relatively low. It is well known that even a large number of traffic counts is not enough to determine a unique OD matrix (see for example Bell, 1983) Cascetta and Nguyen, 1988) Robillard, 1975) Van Zuylen and Willumsen, 1980)) 2 2.2 Parking surveys In some recent traffic studies in Belgium (for the cities of Brussels, Charleroi, Li ege and Namur) car parks within the city centre were surveyed and the registration plates of vehicles parked therein were sampled (with a typical sampling rate of 20 ) Given the ....
....necessary. 3 The MEUSE model for OD matrix estimation Given the data and problem, many methodological choices have been proposed. Among the most popular ones, we note the class of log linear models (entropy maximization or information minimization) as analyzed for instance, in Bell ( 1984) and Van Zuylen and Willumsen ( 1980)) Bayesian estimation techniques (Maher, 1983) maximum likelihood methods (Spiess, 1987) multi objective analysis (Brenninger Gothe, Jornsten and Lundgren, 1989) and generalized least squares algorithms (Bell, 1991) Cascetta, 1984) see Bierlaire, 1991) for a survey 4 of these and ....
Van Zuylen, H. J. and Willumsen, L. G. (1980). The most likely trip matrix estimated from traffic counts, Transportation Research, Series B 14: 281--293.
....(1992) 17 4.1.8 LeBlanc and Farhangian (1982) 17 4.1.9 Sherali, Sivanandan and Hobeika (1994) 17 4.1.10 Tamin and Willumsen (1989) 18 4.1. 11 Van Zuylen and Willumsen (1980) . 18 4.1.12 Willumsen (1984) 18 4.2 Statistical Inference approaches 19 4.2.1 Maximum Likelihood, Spiess (1987) 19 4.2.2 Generalized Least Squares, Bell (1991) ....
....ij e 1 p 1 ij 2 p 2 ij : A p A ij (3.2) where each i is a Lagrange multiplier associated with the constraint that relates the link flow with the travel matrix, equations (2.1) The expression (3.2) for g relies on the assumption of proportional assignment, i.e. constant p a ij . Van Zuylen and Willumsen (1980) proposed two important models of this type. An OD matrix is found that when assigned to the network reproduces the observed traffic counts which are required to be consistent. Traffic modelling approaches directly or indirectly assume that the trip making behaviour is represented by a certain ....
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H. Van Zuylen and L.G. Willumsen (1980), The most likely trip matrix estimated from traffic counts, Transportation Research 14B.
....to this equation is T ij = T ij e 1p 1 ij 2p 2 ij : k p k ij ; where the ( 1 ; 2 ; k ) are the Lagrangian multipliers constraining each link flow. Also, note that this solution assumes proportional assignment. This approach has been described by Van Zuylen Willumsen [36]. A refinement of this approach which introduces user equilibrium ideas to account for congestion impedments was proposed by Fisk [12] Her work belongs to the area of combined trip distribution assignment models as in the previous analysis of Erlander, Nguyen Stewart [11] and subsequently by ....
Van Zuylen, H.J. & Willumsen, L.G. (1980), The most likely trip matrix estimated from traffic counts. Transportation Research, 14B, 281-293.
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24 Van Zuylen, H. J. and L. G. Willumsen. The Most Likely Trip Matrix Estimated from Traffic Counts. Transportation Research-B, Vol 14B, 1980, pp. 281-293.
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Van Zuylen, H.J. and Willumsen, L.G. (1980), "The most Likely Trip Matrix Estimated from Traffic Counts," Transportation Research, Volume 14B, pp. 281293. 16
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Van Zuylen, H. J., and Willumsen, L.G. (1980), "The most likely trip matrix estimated from traffic counts," Transportation Research, 14B, 281-293.
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