Publications (15)
ARTICLE
Improving Solutions for a Fuzzy Random Multi-Objective Linear Fractional Program
Abdoulaye COMPAORE, Wendpanga Yougbar, Joseph Poda, Arcadius Ibrahim Zongo
Mathematical techniques that combine fuzziness and stochastics are powerful tools for modelling and managing probabilistic, vague, and imprecise uncertainties. They are valuable because they can efficiently solve concrete problems in which data are affected by imprecision and randomness. From this perspective, this article proposes a new techn(...)
Linear programming, Fuzzy logic, Class (philosophy), Fuzzy set, Fuzzy number, Fractional programming
ARTICLE
Copulas approach for modeling thestochastic dependence of three physico-chemical components of groundwater in theprovince of Sissili (Burkina Faso)
Fabrice Ouoba, Vini Yves Bernadin Loyara, Sibiri Narcisse Dolemweogo and Diakarya Barro
This study aims to model the stochastic dependence between potassium(K+), iron (F e2+), and ammonium (N H+4 ) concentrations in groundwater fromthe Sissili province in Burkina Faso. To achieve this, we rely on the Student,Frank, and H ̈usler–Reiss copulas to capture the full range of hydro-geochemicaldependence structures. This statistical ap(...)
copulas; stochastic dependence; groundwater; modeling.
ARTICLE
Improving of the Clarke and Wright’s Heuristic for Solving Multiobjective Vehicles Routing Problem
Issouf Nikiéma, Joseph Poda, and Kounhinir Somé
In this paper, we propose a new multiobjective model for the Capacitated Vehicle Routing Problem with a single depot. On one hand, the model aims to optimize multiple conflicting objectives, such as minimizing the total travel distance and reducing the number of vehicles used. On the other hand, we develop a heuristic approach to effectively s(...)
Combinatorial-Optimization, Transportation-problems, Vehicle-routing, Efficient-solutions, Multiobjective-optimization.
ARTICLE
COPULA OF BERNSTEIN AND DEGREEOF DISCORDANCE
Vini Yves Bernadin LOYARA, Fabrice OUOBA, Remi Guillaume BAGRE
The analytical expression for the degree of multivariate discordance in probability has a high level of mathematical elegance. This is why we were interested in the degree of discrepancy. In addition, while working on this expression, an application to the Bernstein copula appeared more accessible. We therefore modeled the expression for the B(...)
Multivariate discordance degree, Bernstein copula, Probability theory, Dependence modeling.
ARTICLE
Geospatial Modelling of Forest Carbon Stocks in Burkina Faso, West Africa.
Fabrice Ouoba, Larba Hubert Balima, Hay Yoba Talkibing, Diakarya Barro.
Protected areas in West Africa play a crucial role in climate changemitigation as the major carbon pools. Yet, the spatial distribution offorest carbon stocks is poorly documented, but required for forestmanagement and carbon monitoring. Assessing the spatial distributionof aboveground biomass and carbon stocks is important for themonitoring o(...)
Geostatistics, spatial dependence, aboveground biomass and carbon stocks
ARTICLE
OBTAINING OPTIMAL PARETO SOLUTIONS USING A HYBRID APPROACH COMBINING ε-CONSTRAINT AND MOMA-PLUS METHOD
Amidou Zoungrana, Kounhinir Somé, Joseph Poda
In this paper, we propose a new hybrid technique for nonlinear multi-objective optimization problems. This method combines the ε-constraint approach with the MOMA-Plus method. This involves using the ε-constraint technique to transform the initial problem into a single-objective one, instead of an aggregation function. The use of these functio(...)
Mathematical optimization, Pareto principle, Constraint (computer-aided design), Pareto optimal, Computer science, Mathematics, Multi-objective optimization
ARTICLE
Sampling Geostatistical Structures in Extremal Framework
Fabrice Ouoba, Hay Yoba Talkibing, Diakarya Barro.
Geostatistics of extreme values makes it possible to model the asymptotic be-havior of random phenomena that depend on time or space. In this paper, wepropose new models of the extremal coefficient of a stationary random fieldwhere the cumulative distribution is associated with a multivariate copula.More precisely, some models of extensions of(...)
Extremal Index, Extremogram, Variogram, Copulas, Stationary Process,Extreme Values.
ARTICLE
Grey Wolves Attack Process for the Pareto Optimal Front Construction in the Multiobjective Optimization
Wendinda Bamogo, Kounhinir Somé, Joseph Poda
We propose a new metaheuristic, HmGWOGA-MO, for solving multiobjective optimization problems operating with a population of solutions. The method is a hybridization of the HmGWOGA method, which is a single objective optimization method, and the ϵ-constraint approach, which is an aggregation technique. The ϵ-constraint technique is one of the b(...)
Mathematical optimization, Multi-objective optimization, Mathematics, Constraint (computer-aided design), Convergence (economics), Pareto principle, Optimization problem, Metaheuristic
ARTICLE
CONVERGENCE OF THE SIMPLE EXACT BARRIER-PENALTY FUNCTION FOR NONLIEAR MULTIOBJECTIVE OPTIMIZATION
A. Compaoré, Kounhinir Somé, Joseph Poda
In this paper, an extension of the new barrier penalty technical is proposed. Initially, design for nonlinear single-objective optimization with inequality constraints, we have transformed it for solving nonlinear multiobjective optimization problems with inequality constraints. First, we have provided the theoretical foundations for this exte(...)
Penalty method, Mathematical optimization, Extension (predicate logic), Convergence (economics), Multi-objective optimization, Pareto principle, Simple (philosophy), Mathematics, Optimization problem, Nonlinear system, Pareto optimal, Nonlinear programming, Computer science, Economics
ARTICLE
Extinction probability of thestochastic model SEIRS
Hay Yoba Talkibing, Barro Diakarya, Ouoba Fabrice.
The dynamics of disease transmission is still a major problem in math-ematical epidemiology. In this work, we study the extinction probability ofa stochastic SEIRS-type model for infectious diseases evolving in a randomenvironment. We have determined the reproduction rate R0 and studied thestability of the stochastic system based on the contin(...)
Stochastic model, reproductive rate, Markov chain, epi-demiology, Extension probability, SEIRS.
ARTICLE
Stochastic Approach in Epidemic Modeling Using the SEIRS
Hay Yoba Talkibing, Barro Diakarya, Ouoba Fabrice
The study of infectious diseases represents one of the oldest and richest sectors ofbiomathematics. The transmission dynamics of these diseases are still a major problem in math-ematical epidemiology. In this work, we propose a stochastic version of a SEIRS epidemiologicalmodel for infectious diseases evolving in a random environment for the p(...)
Stochastic processes, epidemiology, Markov chain, SEIRS.
ARTICLE
Geostatistical Analysis with Copula-based Models of Madograms, Correlograms and Variograms
Fabrice Ouoba, Diakarya Barro, Hay Yoba Talkibing
This paper investigates models of stochastic dependence with geostatistical tools.Specifically, we use copulas to propose new models of stochastic spatial tools such as variograms,correlograms and the madograms. Copula versions of covariograms are provided both in secondstationnary and intrinsic frameworks. Moreover, some usual families of mod(...)
Geostatistics, copula, spatial dependence, extreme value dependence.
ARTICLE
MOBILE SECONDARY IDEAL POINT AND MOMA-PLUS METHOD IN TWO-PHASE METHOD FOR SOLVING BI-OBJECTIVE ASSIGNMENT PROBLEMS
Joseph Poda, Kounhinir Somé, Abdoulaye Compaoré, Blaise Somé
In this paper, we propose a new two-phase resolution technique for bi-objective assignment problems. This new method uses an adapted version of the multi-objective metaheuristic based on Alienor method, MOMA-plus in abbreviation form. This modified algorithm is used in each of the two phases of the method. In the first phase, it exhaustively d(...)
Ideal (ethics), Ideal point, Phase (matter), Point (geometry), Computer science, Mathematical optimization, Mathematics, Algorithm, Calculus (dental), Medicine, Physics, Philosophy, Geometry
ARTICLE
ADAPTATION OF THE MOMA-PLUS METHOD TO THE RESOLUTION OF TRANSPORTATION AND ASSIGNMENT PROBLEMS
JOSEPH PODA, KOUNHINIR SOMÉ, ABDOULAYE COMPAORÉ and BLAISE SOMÉ
In this paper, we propose a new approach to solve transportation and assignment problems using the MOMA (MultiObjetive Metaheuristic based on Alienor method [7]) method algorithm. This approach consists in adapting the method of MOMA-plus version [1], initially conceived for the optimization in continuous variables, to the solving of combinato(...)
transportation problem, assignment problem, MOMA-plus method, Hungarian method
ARTICLE
Efficiency of MOMA-plus Method to Solve Some Fully Fuzzy L-R Triangular Multiobjective Linear Programs
Abdoulaye Compaoré, Kounhinir Somé, Joseph Poda, Blaise Som é
In this paper, we propose a novel approach for solving some fully fuzzy L-R triangular multiobjective linear optimization programs using MOMA-plus method (Kounhinir, 2017). This approach is composed of two relevant steps such as the converting of the fully fuzzy L-R triangular multiobjective linear optimization problem into a deterministic mul(...)
Mathematics, Multi-objective optimization, Mathematical optimization, Fuzzy logic, Pareto principle, Linear programming, Computer science, Artificial intelligence