An Introduction to the Mass Transportation Theory and its Applications
نویسنده
چکیده
2 Formulation of the mass transport problems 4 2.1 The original Monge-Kantorovich problem . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Guessing a good dual to the Monge-Kantorovich problem . . . . . . . . . . . . . 6 2.3 Properties of ”Extreme points of C” . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Existence of a minimizer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
منابع مشابه
Vehicular Networks: A Survey on Architecture, Communication Technologies and Applications
The Intelligent Transportation System (ITS) provides wireless and mobile communication between vehicles and infrastructure to improve the safety of transportation and make the journey more enjoyable. This system consists of many fixed and mobile nodes (Vehicles, Trains, Vessels, Air planes), Wireless and Wired Telecommunication Technologies to exchange information between mobile nodes or betwee...
متن کاملPrediction of Renewable Energy Production Using Grey Systems Theory
Due to the reduction of renewable energy resources such as fossil fuels, the energy crisis is one of the most critical issues in today’s world. The application of these resources brings about many environmentalpollutionsthatleadtoglobalwarming. Therefore,variouscountrieshaveattemptedto reducepotentialdamageanduserenewableenergiesbytheintroductionandpromotionofrenewable energies as an essential ...
متن کاملA Study of Pedestrian Movement on Crosswalks Based on Chaos Theory
Walking, as an important transportation mode, plays a large part in urban transportation systems. This mode is of great importance for planners and decision-makers because of its impact on environmental and health aspects of communities. However, this mode is so complex in nature that makes it difficult to study or model. On the other hand, chaos theory studies complex dynamical nonlinear syste...
متن کاملA Review of Peridynamics and its Applications; Part1: The Models based on Peridynamics
Peridynamics is a nonlocal version of the continuum mechanics, in which partial differential equations are replaced by integro-differential ones. Due to not using spatial derivatives of the field variables, it can be applied to problems with discontinuities. In the primary studies, peridynamics has been used to simulate crack propagation in brittle materials. With proving the capabilities of pe...
متن کاملVibration Characteristics of Functionally Graded Micro-Beam Carrying an Attached Mass
In this article, in reference to the modified couple stress theory and Euler-Bernoulli beam theory, the free lateral vibration response of a micro-beam carrying a moveable attached mass is investigated. This is a decent model for biological and biomedical applications beneficial to the early-stage diagnosis of diseases and malfunctions of human body organs and enzymes. The micro-cantilever beam...
متن کامل