Pricing is one of the best tools to improve the efficiency of highly congested transportation networks. It has been shown that an optimal toll pattern can be determined by applying the welfare-economics principle of marginal pricing. Because implementing the marginal pricing solution to the toll optimization problem requires charging each arc of the network any real valued toll, which is not re...

This paper extends the notion of toll pricing and the toll pricing framework previously developed for fixed demand traffic assignment [4, 13] to the problem with elastic demand. The system problem maximizes net benefit to the network users [9, 20] and the user problem is the usual one of finding equilibrium with elastic demand. We define and characterize T , the set of all tolls for the user pr...

Recently a methodology for traac networks has been developed which extracts congestion toll sets such that the tolled user equilibrium is system optimal. Properties of toll sets, such as convexity, are investigated, as well as relationships with other problems. For a given toll set, various objectives can be deened and optimized with respect to the tolls. Examples include minimizing the total t...

This paper considers the welfare impacts of a range of franchising regimes for congestible highways. For a single road in isolation, it is shown that a competitive auction with the level of road use as the decision criterion produces the socially optimal road (in terms of capacity and toll level) as the equilibrium outcome, provided constant returns to scale characterize highway operations. The...

in this paper, the optimal location and characteristics of tadas dampers in moment resisting steel structures, considering the application of minimum number of tadas dampers in a building as an objective function and the restriction for destruction of main members is studied. genetic algorithm in first generation randomly produces different chromosomes representing unique tadas dampers distribu...

INTRODUCTION Biorefineries can be built as stand-alone systems or co-located with existing systems such as industrial plants or district heating systems. There are different criteria for selecting a suitable location for a biorefinery, for example closeness to raw material, product markets and heat sinks and sources or existing experiences and know-how. Further, the entire upgrading process fro...

We propose and solve the optimal-location query in spatial databases. Given a set S of sites, a set O of weighted objects, and a spatial region Q, the optimal-location query returns a location in Q with maximum influence. Here the influence of a location l is the total weight of its RNNs, i.e. the total weight of objects in O that are closer to l than to any site in S. This new query has practi...

Dr. Christoph Witzgall, the honoree of this Symposium, can count among his many contributions to applied mathematics and mathematical operations research a body of widely-recognized work on the optimal location of facilities. The present paper offers to non-specialists a sketch of that field and its evolution, with emphasis on areas most closely related to Witzgall's research at NBS/NIST.