Bergendorff, P. (1995). The bounded flow approach to congestion pricing. Master's thesis, Department of Industrial & Systems Engineering, University of Florida, Gainesville, FL. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Price-Directive Traffic Management: Applications Of Side.. - Larsson, Patriksson (1996) (Correct)
....will be levied on every link. They proceed to describe the set of toll vectors which will yield the desired link flow solution, and discuss possible secondary goals to direct the choice of toll vector. Alternative tolls for achieving a system optimal flow have much later been considered also by Bergendorff et al. 1995 and 1997) Bergendorff (1995) describes a particular case of capacitated model, wherein the upper bounds are the system optimal link flows. Based on this model, she develops a toll optimization problem similar to the one in this paper, and presents a method, working in the space of commodity link ....
....proceed to describe the set of toll vectors which will yield the desired link flow solution, and discuss possible secondary goals to direct the choice of toll vector. Alternative tolls for achieving a system optimal flow have much later been considered also by Bergendorff et al. 1995 and 1997) Bergendorff (1995) describes a particular case of capacitated model, wherein the upper bounds are the system optimal link flows. Based on this model, she develops a toll optimization problem similar to the one in this paper, and presents a method, working in the space of commodity link flows and node prices, for ....
Bergendorff, P. (1995). The bounded flow approach to congestion pricing. Master's thesis, Department of Industrial & Systems Engineering, University of Florida, Gainesville, FL.
Solving Congestion Toll Pricing Models - Hearn, Ramana (1998) (7 citations) (Correct)
....negative, with a negative toll corresponding to a subsidy for the associated link. Various properties of toll sets, such as convexity, are discussed as well as relations to other problems such as MPEC (mathematical programs with equilibrium constraints [13] and bounded flow equilibrium problems [2, 11]. Further, an example problem is used to illustrate a Toll Pricing Framework for determining alternative tolls in a given problem by optimizing a secondary objective over the toll set. The alternatives include i) minimizing the total tolls collected, ii) minimizing the maximum toll on any link, ....
....) T rs(v )v s(v ) T v ) 1.2. 5 Relation to Other Problems In this subsection, we explore connections between toll pricing and the two topics given below: Mathematical programs with equilibrium constraints [13] abbreviated as MPECs) Bounded flow traffic equilibrium problems [2, 9, 11]. Toll Pricing and MPEC. An MPEC is an optimization problem in which some or all of the constraints prescribe that certain equilibrium conditions be satisfied. The text [13] by Luo, Pang and Ralph gives a comprehensive presentation of this relatively recent subject. The general MPEC problem is ....
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P. Bergendorff, The Bounded Flow Approach to Congestion Pricing, Masters Thesis, Royal Institute of Technology, Stockholm, 1995.
Traffic Management Through Link Tolls - An Approach.. - Larsson, Patriksson (1998) (1 citation) (Correct)
....They proceed to describe the set of toll vectors which will yield the desired link flow solution, and discuss possible secondary goals to direct the choice of toll vector. Alternative tolls for achieving a system optimal flow have much later been considered also by Bergendorff and associates. Bergendorff (1995) describes a particular case of capacitated model, wherein the upper bounds are the system optimal link flows. Based on this model, she develops a toll optimization problem similar to the one in this paper, but with no exogenous constraints on the toll vector, and presents a method, working in the ....
Bergendorff, P. (1995). The bounded flow approach to congestion pricing.
Constrained Traffic Equilibrium Models - Traffic Management .. - Larsson, Patriksson (Correct)
....They proceed to describe the set of toll vectors which will yield the desired link flow solution, and discuss possible secondary goals to direct the choice of toll vector. Alternative tolls for achieving a system optimal flow have much later been considered also by Bergendorff and colleagues. Bergendorff (1995) considers a link capacitated model, in the presence of elastic demands and or multiple modes of transportation. Following the work of Hearn (1980) and Larsson and Patriksson (1994) she derives equilibrium characterizations of its solutions, and studies especially the case where the upper bound u ....
....travel costs. It is to be noted that the results reached in these references are, in essence, special cases of the results of this paper, obtained by choosing side constraints of the form (1.11) with f being a system optimal solution. Remark 24 (Marginal cost pricing is optimal) As noted by Bergendorff (1995) and following the discussion in Example 21 it is in the fixed demand case often possible to find toll schemes that achieve a system optimal solution while collecting a smaller toll fee than the marginal cost pricing scheme does. It is then interesting to note, by the discussion made in Section ....
Bergendorff, P. (1995). "The bounded flow approach to congestion pricing," Master's thesis, Division of Optimization and Systems Theory, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden.
Congestion Toll Pricing of Traffic Networks - Bergendorff, Hearn, Ramana (1996) (8 citations) Self-citation (Bergendorff) (Correct)
....the desired objective of U fi = f vg. This is in essence the main observation behind the results of this paper. MSCP Tolls for The Braess Paradox Consider the traffic assignment problem depicted in Figure 1. As mentioned there, the system optimal solution for this network is given by v S = [3 3 3 3 0] T and the user optimal (equilibrium) solution is v U = 4 2 2 4 2] T . The MSCP tolls are calculated to be: fi MSCP = 30 3 3 30 0] T ; and as discussed, with these tolls being imposed, the resultant user equilibrium solution is v . However, the same can accomplished by using the ....
....Braess Paradox Consider the traffic assignment problem depicted in Figure 1. As mentioned there, the system optimal solution for this network is given by v S = 3 3 3 3 0] T and the user optimal (equilibrium) solution is v U = 4 2 2 4 2] T . The MSCP tolls are calculated to be: fi MSCP = [30 3 3 30 0] T ; and as discussed, with these tolls being imposed, the resultant user equilibrium solution is v . However, the same can accomplished by using the toll vector fi = 0 0 0 0 13] T (see x4.1) It is seen that the total toll (which is given by fi T v ) imposed on the users in the ....
[Article contains additional citation context not shown here]
P. Bergendorff, The Bounded Flow Approach to Congestion Pricing, Master 's Thesis, The Royal Institute of Technology, Stockholm, Sweden, 1995. Advisor: D.W. Hearn.
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