Transportation Flow Problems with Radon Measure Variables

نویسنده

  • Marcus Wagner
چکیده

For a multidimensional control problem (P)K involving controls u ∈ L∞, we construct a dual problem (D)K in which the variables ν to be paired with u are taken from the measure space rca (Ω, B) instead of (L∞)∗. For this purpose, we add to (P)K a Baire class restriction for the representatives of the controls u. As main results, we prove a strong duality theorem and saddle-point conditions.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Optimal Regularity for Nonlinear Elliptic Equations with Right-hand Side Measure in Variable Exponent Spaces

In this paper, we establish global gradient estimates for solutions of the divergence structure nonlinear elliptic equations with measure data in the setting of variable exponent spaces. Many interesting phenomena in the area of applied mathematics naturally involve measure data problems, for instance, the flow pattern of blood in the heart [40, 45], and state-constrained optimal control proble...

متن کامل

Benchmarking Sustainability with Respect to Transportation Supply and Demand

This paper is an endeavor to quantify the concept of sustainable transportation. The prevailing idea in the context of sustainable development (SD) emphasizes on the reduction of transportation demand in order to reduce the environmental and social consequences of it. Nevertheless, in the current paper using a measure for SD, and based on the conformity of the growths of all sectors with transp...

متن کامل

Measurements and Analysis of the Transport of Radon through Concrete Samples

Experiments were conducted to measure the transportability of radon gas through common concrete samples which were characterized by their mix proportions, dimensions, porosity, air permeability and radon gas diffusion coefficient. Several innovative test systems and methods were designed, fabricated and calibrated to accurately measure these radon gas transport characteristics for concrete and ...

متن کامل

A Simulated Annealing Algorithm for Unsplittable Capacitated Network Design

The Network Design Problem (NDP) is one of the important problems in combinatorial optimization. Among the network design problems, the Multicommodity Capacitated Network Design (MCND) problem has numerous applications in transportation, logistics, telecommunication, and production systems. The MCND problems with splittable flow variables are NP-hard, which means they require exponential time t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001