Managing Uncertainty in the Construction Industry Through the Rough Set Theory
Mapping the convergence of genetic algorithms.
Markov decision processes on finite spaces with fuzzy total rewards
The paper concerns Markov decision processes (MDPs) with both the state and the decision spaces being finite and with the total reward as the objective function. For such a kind of MDPs, the authors assume that the reward function is of a fuzzy type. Specifically, this fuzzy reward function is of a suitable trapezoidal shape which is a function of a standard non-fuzzy reward. The fuzzy control problem consists of determining a control policy that maximizes the fuzzy expected total reward, where...
Markov decision processes with time-varying discount factors and random horizon
This paper is related to Markov Decision Processes. The optimal control problem is to minimize the expected total discounted cost, with a non-constant discount factor. The discount factor is time-varying and it could depend on the state and the action. Furthermore, it is considered that the horizon of the optimization problem is given by a discrete random variable, that is, a random horizon is assumed. Under general conditions on Markov control model, using the dynamic programming approach, an optimality...
Markovian assignment decision process
Mathematical and numerical analysis of an alternative well-posed two-layer turbulence model
In this article, we wish to investigate the behavior of a two-layer turbulence model from the mathematical point of view, as this model is useful for the near-wall treatment in numerical simulations. First, we explain the difficulties inherent in the model. Then, we present a new variable that enables the mathematical study. Due to a problem of definition of the turbulent viscosity on the wall boundary, we consider an alternative version of the original equation. We show that some physical aspects...
Mathematical and Numerical Analysis of an Alternative Well-Posed Two-Layer Turbulence Model
In this article, we wish to investigate the behavior of a two-layer k - ε turbulence model from the mathematical point of view, as this model is useful for the near-wall treatment in numerical simulations. First, we explain the difficulties inherent in the model. Then, we present a new variable θ that enables the mathematical study. Due to a problem of definition of the turbulent viscosity on the wall boundary, we consider an alternative version of the original equation. We show that some physical...
Mathematical Modeling of Atmospheric Flow and Computation of Convex Envelopes
Atmospheric flow equations govern the time evolution of chemical concentrations in the atmosphere. When considering gas and particle phases, the underlying partial differential equations involve advection and diffusion operators, coagulation effects, and evaporation and condensation phenomena between the aerosol particles and the gas phase. Operator splitting techniques are generally used in global air quality models. When considering organic aerosol...
Mathematical Models and a Constructive Heuristic for Finding Minimum Fundamental Cycle Bases
Mathematical Optimization for the Train Timetabling Problem
AMS Subj. Classification: 90C57; 90C10;Rail transportation is very rich in terms of problems that can be modelled and solved using mathematical optimization techniques. The train scheduling problem as the most important part of a rail operating policy has a very significant impact on a rail company profit considering the fact that from the quality of a train timetable depends a flow of three most important resources on rail network: cars, locomotives and crews. The train timetabling problem aims at...
Mathematical Optimization in Air Traffic Management.
Mathematical programming approaches to classification problems.
Mathematical programming problems involving continuum of inequality constraints
Mathematical programming via the least-squares method
The least-squares method is used to obtain a stable algorithm for a system of linear inequalities as well as linear and nonlinear programming. For these problems the solution with minimal norm for a system of linear inequalities is found by solving the non-negative least-squares (NNLS) problem. Approximate and exact solutions of these problems are discussed. Attention is mainly paid to finding the initial solution to an LP problem. For this purpose an NNLS problem is formulated, enabling finding...
Mathematical programming within the context of a generalized data base management system
Mathematical solutions for solving periodic railway transportation.
Matrice pseudo-inverse de Moore-Penrose et variables duales généralisées en programmation mathématique
Maximal association for the sum of squares of a contingency table
Maximal flow problem in a network with a variable structure
Maximal monotone relations and the second derivatives of nonsmooth functions