A large deviation approach to optimal transport
نویسنده
چکیده
A probabilistic method for solving the Monge-Kantorovich mass transport problem on R is introduced. A system of empirical measures of independent particles is built in such a way that it obeys a doubly indexed large deviation principle with an optimal transport cost as its rate function. As a consequence, new approximation results for the optimal cost function and the optimal transport plans are derived. They follow from the Γ-convergence of a sequence of normalized relative entropies toward the optimal transport cost. A wide class of cost functions including the standard power cost functions |x − y|p enter this framework.
منابع مشابه
Application of Interval-valued Fuzzy Analytic Hierarchy Process Approach in Selection Cargo Terminals, a Case Study
Cargo terminals are the gateways for entrance of commodities into the transportation network. Therefore, locating them in optimal location could have a major impact on the cost effectiveness and efficiency of transport, traffic safety and reduction in environmental pollutions. Due to the presence of a large number of parameters involved and the existing uncertainties, decision making in this fi...
متن کاملLogistics and pretreatment of forest biomass
In large regions of the world, biomass is a very important source of energy. The global bioenergy market based on forest biomass is growing rapidly. About 92 % of the bioenergy in Sweden comes from forests. Biomass from forests is not homogenous. The locations, transport distances, and transport methods, can differ very much and the industries that need biomass as input prefer raw materials wit...
متن کاملDeveloping an urban congestion pricing model by considering sustainability improvement and using a multi-objective optimization approach
This paper introduces a Travel Demand Management (TDM) model in order to decrease the transportation externalities by affecting on passengers’travel choices. Thus, a bi-objective bi-modal optimization model for road pricing is developed aiming to enhance environmental and social sustainability by considering to minimize the air pollution and maximize the social welfare as its objectives. This m...
متن کاملDetermination of Optimal Allocation and Penetration Level of Distributed Energy Resources Considering Short Circuit Currents
The integration of Distributed Energy Resources (DER) in the distribution network has plenty of advantages if their allocation and Penetration Level (PL) are done appropriately. Hence, the challenge of finding the best allocation and PL of DERs in large distribution networks is an important but intricate problem. This paper proposes a novel methodology to simultaneously determine the optimal lo...
متن کاملEcological and Economic Principles to Improve the Route Network of Urban Transport
The transport system of many Ukrainian cities does not meet the EU standards and requirements. There is a need to improve urban transport networks, to use transport potential efficiently on the basis of environmental logistics and to improve environmental safety as one of the principles of sustainable transport development. The systems model to create an ecologically safe logistics system of pu...
متن کامل