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The attributes of the vehicle routing problem (VRP) are as many additional characteristics or constraints which aim to better take into account the specificities of real application cs. The variants of the VRP thus formed are the support of an extremely rich literature, comprising an immense variety of heuristics. This article constitutes an industrial application…

Decision-makers must make a suitable sequence of decisions under uncertainty in a relatively long period for particular projects and situations. Conventional decision-making approaches under uncertainty are based on expected utility theory and do not sufficiently reflect the one-time nature of decisions. Similarly, the conventional approaches do not adequately incorporate the decision-maker’s intuitions in the decision-analysis…

In agile manufacturing, due to the desire to meet customer’s requirements, processing times are stochastic because operations could be done by robots or humans. This can cause several problems in scheduling the jobs, and it is necessary to select the dispatch rule with the least change in costs and times, to respond quickly to different…

In current societies, web application systems take central roles in computer systems. Thus, web client programming using JavaScript has increased values to add dynamic features and functions in web pages by well working with HTML and CSS. In this paper, as a new type of exercise problem for its self-study, we propose a code modification…

C programming is taught in a lot of universities across the world as the first computer programming language. Then, for novice students, it is important to read many simple C source codes and understand their behaviors to be familiar to the programming paradigm. Unfortunately, effective tools to support independent code reading study at home have…

The problem of optimal distribution of the current load of a combined heat and power plant with a complex composition of equipment is considered. A multi-criteria approach is proposed for parts of graphs with a constant load in time, considering the factors of economy, reliability and ecology. For sections of the graph with a time-variable…

In this paper, we are concerned to investigate the efficiency of the second-order Redlich-Kister Finite Difference (RKFD) discretization scheme together with the Four Point Explicit Group Kaudd Successive Over Relaxation (4EGKSOR) iterative method for solving two-point boundary value problems (TPBVPs). In order to apply this block iteration to solve any linear system, firstly we discretize…

The objective of the metaheuristics, together with obtaining quality results in reasonable time, is to be able to control the exploration and exploitation balance within the iterative processes of these methodologies. Large combinatorial problems present ample search space, so Metaheuristics must efficiently explore this space; and exploits looking in the vicinity of good solutions previously…

One of the biggest business problems of marketers, is to optimize the return on investments of direct Marketing campaign. This main purpose which can only be ensured by targeting the appropriate customer. The main challenge faced by companies when advertising, is to configure properly a campaign, by choosing the right target, so A high user…

In the present paper, a universal approach for determining the maximum flow problem in directed graph for solving different problems is applied. It can be considered as a heuristic and it can be used as a denomination for analyzing an arbitrary system with a mathematical description as a directed graph. The physical nature of the…

A distribution company in Mexico covers the travel expenses for 21 sales representatives. Currently, the routes they follow are not established clearly, which can lead to high costs in this subject. A reduction of such cost is sought after, by optimizing the routes for each one of them. The following research finds an improvement on…

Tinnitus is a phenomenon for which the patient hears sound in the absence of any external sound source. To this day, there is no cure for this phantom sound perception. But it can be masked temporarily to help relief the patient’s pain. In order to allow this, a better understanding of the phenomenon is needed.…

The purpose of this research paper is to demonstrate that optimization of energy consumption, distributed generation and storage contribute towards mutually beneficial and satisfactory Demand Side Management algorithms that can be installed into consumer smart meters or in Home Energy Storage. A new solution based on an Energy Scheduling and Distributed Storage (ESDS) and Microgrid…

The point of this study is to explore and elucidating the performance of the four-point Half-Sweep EGSOR (4HSEGSOR) iterative method to solve fractional two-point boundary value problems by using Caputo’s fractional operator and family of finite differences (FD) schemes. To apply the iterative methods, linear system needs to be constructed via the discretization process with…

A method for coupling of local and global fields related to currents, voltages and magnetic fields in magnetodynamic problems is developed in the frame of the finite subproblem finite element method. The method allows to correct the errors arising from thin conducting regions, that replace volume thin regions by surfaces but neglect border effects in…

Space debris removal is currently a critical issue for space development. It has been reported that five pieces of debris should be removed each year to avoid further increase in the amount of debris in orbit. One approach for the removal of multiple pieces of debris is to launch multiple satellites that can each remove…

Facility location problem is a problem that many organizations still face today because of its increasing constraints and objectives. Decision makers want this problem solved in order to maximize profit and as such, it became a field of interest to many computer scientists over the years. The solution tool used by these scientists; a function…

Our research deals with the single-vehicle routing problem (VRP) with multi-shift and fuzzy uncertainty. In such a problem, a company constantly uses one vehicle to serve demand over a scheduling period of different work shifts. Our issue relies on a routing problem in maintenance jobs, where a crew executes jobs in different sites. The crew…

Metaheuristic hybridization has recently been widely studied and discussed in many research works as it allows benefiting from the strengths of metaheuristics by combining adequately the different algorithms. MMACS is a new hybrid ant colony optimization algorithm based on the foraging behavior of ants. This algorithm presents two hybridization levels. The first hybridization consists in…

This paper is an extension of work originally presented in the 19th International Conference on Computer Supported Education and Information Technology. This paper identifies motivational factors that ensure the initiation and effective implementation of mathematical activity. These factors are in subordination to each other, forming a hierarchical dependence. At the heart of this hierarchy is…

Solving the Unit Commitment problem (UCP) optimizes the combination of production units operations and determines the appropriate operational scheduling of each production units to satisfy the expected consumption which varies from one day to one month. Besides, each production unit is conducted to constraints that render this problem complex, combinatorial and nonlinear. In this paper,…

In this work, we will prove the existence of bounded solutions for the nonlinear elliptic equations \(- div(a(x,u,\nabla u)) = g(x,u,\nabla u) -divf,\) in the setting of the weighted Sobolev space \(W^{1,p}(\Omega,w)\) where \(a\), \(g\) are Caratheodory functions which satisfy some conditions and \(f\) satisfies suitable summability assumption.

The aim of this paper is to study the boundary enlarged gradient controllability problem governed by parabolic evolution equations. The purpose is to find and compute the control \(u\) which steers the gradient state from an initial gradient one \(\nabla y_{_{0}}\) to a gradient vector supposed to be unknown between two defined bounds \(b_1\) and…

We consider the following Neumann elliptic problem \( \left\{ \begin{array}{rl} -\Delta u =\alpha\,m_{1}(x)\,u+m_{2}(x)\,g(u)+h(x)\quad & in \: \Omega,\\ \quad\\ \frac{\partial u}{\partial\nu} = 0\qquad\qquad\qquad\qquad\qquad\qquad\quad& on\: \partial\Omega. \end{array} \right. \) By means of Leray-Schauder degree and under some assumptions on the asymptotic behavior of the potential of the nonlinearity g, we prove an existence result for our equation…

We prove the existence of at least one non-decreasing sequence of positive eigenvalues for the problem, $$\begin{gathered}\left\{ \begin{array}{ll} \Delta_{p(x)}^{2}u-\triangle_{p(x)}u= \lambda |u|^{p(x)-2}u, \ \ \quad in \ \Omega \\ u\in W^{2,p(x)}(\Omega)\cap W_{0}^{1,p(x)}(\Omega),\end{array}\right. \end{gathered}$$ Our analysis mainly relies on variational arguments involving Ljusternik-Schnirelmann theory.