This study describes the use of a Direct Search (DS) meta-heuristic algorithm for solving the toll design problem, in terms of finding the optimum toll level, in private roads. The problem is formulated as a nonconvex, bilevel nonlinear mathematical program which seeks to maximize toll revenues while taking into account the travel responses of network users, through a multi-class stochastic use...

This paper addresses the optimal design problem of toll ring in a general urban traffic network. This problem is categorised as a Mathematical Programming Problem with Equilibrium Constraints (MPEC) due to the implicit constraint of user equilibrium condition. In addition, the constraint on the topology of the combination of tolled links is imposed where the combination of tolled links must for...

We consider an investment problem such as a construction of power plants. The uncertainties, which are considered in this investment problem, are the evolution of cash flows obtained from the plant operation, and the catastrophic event, which drives the value of the project to zero due to external factors, such as earthquake. We show the model of a sequential investment as well as that of a sin...

We address optimal group manipulation in multidimensional, multi-facility location problems. We focus on two families of mechanisms, generalized median and quantile mechanisms, evaluating the difficulty of group manipulation of these mechanisms. We show that, in the case of single-facility problems, optimal group manipulation can be formulated as a linear or second-order cone program, under the...

We present e cient algorithms for two problems of facility location. In both problems we want to determine the location of a single facility with respect to n given sites. In the rst we seek a location that maximizes a weighted distance function between the facility and the sites, and in the second we nd a location that minimizes the sum (or sum of the squares) of the distances of k of the site...

Location decision is an integral part of organizational strategies involving many factorsthat may be conflicting in nature. This paper presents a holistic approach of the multi-criteria decisionmaking (MCDM) methodology to select the optimal location(s), which fits best for both investors andmanagers. A case study is also provided to illustrate the application of the proposed holistic approach....

This paper proposes a new road toll design model for congested road networks with uncertain demand that can be used to create a sustainable urban transportation system. For policy assessment and strategic planning purposes, the proposed model extends traditional congestion pricing models to simultaneously consider congestion and environmental externalities due to vehicular use. Based on analyse...

Tolls are used to influence users to "voluntarily" choose paths in the system which optimize flows (VSO) to minimize social costs. When the toll solutions are not unique, administrators gain the flexibility to vary tolls in order to meet other goals while still maintaining optimal flows. For Fixed-Demand networks, it was known that path-tolls can be adjusted. However, the link-toll solution was...