Search results for: externalizing problem
7103 Hybrid Approach for the Min-Interference Frequency Assignment
Authors: F. Debbat, F. T. Bendimerad
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The efficient frequency assignment for radio communications becomes more and more crucial when developing new information technologies and their applications. It is consists in defining an assignment of frequencies to radio links, to be established between base stations and mobile transmitters. Separation of the frequencies assigned is necessary to avoid interference. However, unnecessary separation causes an excess requirement for spectrum, the cost of which may be very high. This problem is NP-hard problem which cannot be solved by conventional optimization algorithms. It is therefore necessary to use metaheuristic methods to solve it. This paper proposes Hybrid approach based on simulated annealing (SA) and Tabu Search (TS) methods to solve this problem. Computational results, obtained on a number of standard problem instances, testify the effectiveness of the proposed approach.Keywords: cellular mobile communication, frequency assignment problem, optimization, tabu search, simulated annealing
Procedia PDF Downloads 3847102 A Metaheuristic Approach for the Pollution-Routing Problem
Authors: P. Parthiban, Sonu Rajak, R. Dhanalakshmi
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This paper presents an Ant Colony Optimization (ACO) approach, combined with a Speed Optimization Algorithm (SOA) to solve the Vehicle Routing Problem (VRP) with environmental considerations, which is well known as Pollution-Routing Problem (PRP). It consists of routing a number of vehicles to serve a set of customers, and determining fuel consumption, driver wages and their speed on each route segment, while respecting the capacity constraints and time windows. Since VRP is NP-hard problem, so PRP also a NP-hard problem, which requires metaheuristics to solve this type of problems. The proposed solution method consists of two stages. Stage one is to solve a Vehicle Routing Problem with Time Window (VRPTW) using ACO and in the second stage, a SOA is run on the resulting VRPTW solution. Given a vehicle route, the SOA consists of finding the optimal speed on each arc of the route to minimize an objective function comprising fuel consumption costs and driver wages. The proposed algorithm tested on benchmark problem, the preliminary results show that the proposed algorithm can provide good solutions within reasonable computational time.Keywords: ant colony optimization, CO2 emissions, speed optimization, vehicle routing
Procedia PDF Downloads 3597101 Performance Analysis of MATLAB Solvers in the Case of a Quadratic Programming Generation Scheduling Optimization Problem
Authors: Dávid Csercsik, Péter Kádár
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In the case of the proposed method, the problem is parallelized by considering multiple possible mode of operation profiles, which determine the range in which the generators operate in each period. For each of these profiles, the optimization is carried out independently, and the best resulting dispatch is chosen. For each such profile, the resulting problem is a quadratic programming (QP) problem with a potentially negative definite Q quadratic term, and constraints depending on the actual operation profile. In this paper we analyze the performance of available MATLAB optimization methods and solvers for the corresponding QP.Keywords: optimization, MATLAB, quadratic programming, economic dispatch
Procedia PDF Downloads 5497100 Bayesian Network and Feature Selection for Rank Deficient Inverse Problem
Authors: Kyugneun Lee, Ikjin Lee
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Parameter estimation with inverse problem often suffers from unfavorable conditions in the real world. Useless data and many input parameters make the problem complicated or insoluble. Data refinement and reformulation of the problem can solve that kind of difficulties. In this research, a method to solve the rank deficient inverse problem is suggested. A multi-physics system which has rank deficiency caused by response correlation is treated. Impeditive information is removed and the problem is reformulated to sequential estimations using Bayesian network (BN) and subset groups. At first, subset grouping of the responses is performed. Feature selection with singular value decomposition (SVD) is used for the grouping. Next, BN inference is used for sequential conditional estimation according to the group hierarchy. Directed acyclic graph (DAG) structure is organized to maximize the estimation ability. Variance ratio of response to noise is used to pairing the estimable parameters by each response.Keywords: Bayesian network, feature selection, rank deficiency, statistical inverse analysis
Procedia PDF Downloads 3147099 Efficacy of Problem Solving Approach on the Achievement of Students in Mathematics
Authors: Akintunde O. Osibamowo, Abdulrasaq O. Olusanya
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The present study was designed to examine the effect of problem-solving approach as a medium of instruction in teaching and learning of mathematics to improve the achievement of the student. One Hundred (100) students were randomly chosen from five (5) Junior Secondary School in Ijebu-Ode Local Government Area of Ogun State, Nigeria. The data was collected through Mathematics Achievement Test (MAT) on the two groups (experimental and control group). The study confirmed that there is a significant different in the achievement of students exposed to problem-solving approach than those not exposed. The result also indicated that male students, however, had a greater mean-score than the female with no significant difference in their achievement. The result of the study supports the use of problem-solving approach in the teaching and learning of mathematics in secondary schools.Keywords: problem, achievement, teaching phases, experimental control
Procedia PDF Downloads 2897098 The Effects of European Union’s Bordering Process
Authors: Ebru Dalgakiran
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Border and bordering studies have come to the forefront in recent years especially with parallel to increase in international migratory movements. Although conceptualizations of the border and bordering are quite contested within academia, the general point of view is that borders are politically and socially constructed. It means that borders have always their own ‘us vs. them’, and bordering process produce separate identities as well. In that case, Turkey and Greece are notable examples since these two nation-states constructed their borders upon each other’s for years although the Turkish-Greek border was drawn with the Lausanne Treaty of 1923. Nevertheless, on the other hand, The European Union (EU) has been externalized of border management policies to build a stronger area of freedom, security, and justice within the borders. Thus, Turkish-Greek border has become one of the significant external borders of the EU. In this context, this study aims to understand whether the EU’s bordering process through externalizing border management policies can affect Turkey’s and Greece’s bordering processes. By examining official documents of the EU and conducting in-depth interviews with local actors of the border management policies of the EU in Edirne, where is the border city of Turkey with Greece, this study’s main finding is that the EU’s bordering process to control migration at the external borders affects Turkey’s and Greece’s bordering processes. It seems that Turkey and Greece construct their borders upon a common Other, ‘irregular migrants’ now.Keywords: border, bordering, the European Union, externalization
Procedia PDF Downloads 2367097 Capacitated Multiple Allocation P-Hub Median Problem on a Cluster Based Network under Congestion
Authors: Çağrı Özgün Kibiroğlu, Zeynep Turgut
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This paper considers a hub location problem where the network service area partitioned into predetermined zones (represented by node clusters is given) and potential hub nodes capacity levels are determined a priori as a selection criteria of hub to investigate congestion effect on network. The objective is to design hub network by determining all required hub locations in the node clusters and also allocate non-hub nodes to hubs such that the total cost including transportation cost, opening cost of hubs and penalty cost for exceed of capacity level at hubs is minimized. A mixed integer linear programming model is developed introducing additional constraints to the traditional model of capacitated multiple allocation hub location problem and empirically tested.Keywords: hub location problem, p-hub median problem, clustering, congestion
Procedia PDF Downloads 4927096 Integer Programming: Domain Transformation in Nurse Scheduling Problem.
Authors: Geetha Baskaran, Andrzej Barjiela, Rong Qu
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Motivation: Nurse scheduling is a complex combinatorial optimization problem. It is also known as NP-hard. It needs an efficient re-scheduling to minimize some trade-off of the measures of violation by reducing selected constraints to soft constraints with measurements of their violations. Problem Statement: In this paper, we extend our novel approach to solve the nurse scheduling problem by transforming it through Information Granulation. Approach: This approach satisfies the rules of a typical hospital environment based on a standard benchmark problem. Generating good work schedules has a great influence on nurses' working conditions which are strongly related to the level of a quality health care. Domain transformation that combines the strengths of operation research and artificial intelligence was proposed for the solution of the problem. Compared to conventional methods, our approach involves judicious grouping (information granulation) of shifts types’ that transforms the original problem into a smaller solution domain. Later these schedules from the smaller problem domain are converted back into the original problem domain by taking into account the constraints that could not be represented in the smaller domain. An Integer Programming (IP) package is used to solve the transformed scheduling problem by expending the branch and bound algorithm. We have used the GNU Octave for Windows to solve this problem. Results: The scheduling problem has been solved in the proposed formalism resulting in a high quality schedule. Conclusion: Domain transformation represents departure from a conventional one-shift-at-a-time scheduling approach. It offers an advantage of efficient and easily understandable solutions as well as offering deterministic reproducibility of the results. We note, however, that it does not guarantee the global optimum.Keywords: domain transformation, nurse scheduling, information granulation, artificial intelligence, simulation
Procedia PDF Downloads 3977095 Three-Stage Multivariate Stratified Sample Surveys with Probabilistic Cost Constraint and Random Variance
Authors: Sanam Haseen, Abdul Bari
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In this paper a three stage multivariate programming problem with random survey cost and variances as random variables has been formulated as a non-linear stochastic programming problem. The problem has been converted into an equivalent deterministic form using chance constraint programming and modified E-modeling. An empirical study of the problem has been done at the end of the paper using R-simulation.Keywords: chance constraint programming, modified E-model, stochastic programming, stratified sample surveys, three stage sample surveys
Procedia PDF Downloads 4567094 An Efficient Approach to Optimize the Cost and Profit of a Tea Garden by Using Branch and Bound Method
Authors: Abu Hashan Md Mashud, M. Sharif Uddin, Aminur Rahman Khan
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In this paper, we formulate a new problem as a linear programming and Integer Programming problem and maximize profit within the limited budget and limited resources based on the construction of a tea garden problem. It describes a new idea about how to optimize profit and focuses on the practical aspects of modeling and the challenges of providing a solution to a complex real life problem. Finally, a comparative study is carried out among Graphical method, Simplex method and Branch and bound method.Keywords: integer programming, tea garden, graphical method, simplex method, branch and bound method
Procedia PDF Downloads 6237093 A Robust Optimization Model for the Single-Depot Capacitated Location-Routing Problem
Authors: Abdolsalam Ghaderi
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In this paper, the single-depot capacitated location-routing problem under uncertainty is presented. The problem aims to find the optimal location of a single depot and the routing of vehicles to serve the customers when the parameters may change under different circumstances. This problem has many applications, especially in the area of supply chain management and distribution systems. To get closer to real-world situations, travel time of vehicles, the fixed cost of vehicles usage and customers’ demand are considered as a source of uncertainty. A combined approach including robust optimization and stochastic programming was presented to deal with the uncertainty in the problem at hand. For this purpose, a mixed integer programming model is developed and a heuristic algorithm based on Variable Neighborhood Search(VNS) is presented to solve the model. Finally, the computational results are presented and future research directions are discussed.Keywords: location-routing problem, robust optimization, stochastic programming, variable neighborhood search
Procedia PDF Downloads 2687092 How Do Housing Market and Mortgage Solve the Housing Problem in Russian Regions?
Authors: Liudmila A.Guzikova
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Being federative state Russia includes more than 80 subjects which are widely diverse by climatic conditions, demographic characteristics, cultural traditions, intensity of migration, economic development and investment attraction and other parameters. Now, in the regions of the country all forms of housing problem are present - housing mismatch to sanitary and hygienic standards, overcrowding, forced residence in financially burdensome housing, homelessness, -although the extent of these symptoms varies widely. Heterogeneity of regional conditions in combination with specifics of regional housing situation requires to concentrate the study of housing problem on the regional level. Traditionally housing market and mortgage are considered as the instruments of housing problem solving. The question arises how the housing market and mortgage market contribute to solving the housing problem in the regions of Russia. Though the purchase of dwelling in ownership should not be regarded as a universal method of the housing problem solving, the purchase of dwelling both by own funds or by use of mortgage can reduce the problem and enhance public satisfaction of living conditions. The aim of the study is to identify differences and similarities in the development of regional housing markets and mortgage lending in the regions of Russia and to evaluate their impact on the status of the housing problem. To achieve the aim of the study the methods of correlation and regression analysis are used. The data of federal statistics constitutes the information base of research. The results of the study contribute to better understanding of the interrelations in housing sphere and can be used to work out social and economic development programs in the regions.Keywords: housing market, housing problem, mortgage, regional economy
Procedia PDF Downloads 3777091 Integer Programming Model for the Network Design Problem with Facility Dependent Shortest Path Routing
Authors: Taehan Lee
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We consider a network design problem which has shortest routing restriction based on the values determined by the installed facilities on each arc. In conventional multicommodity network design problem, a commodity can be routed through any possible path when the capacity is available. But, we consider a problem in which the commodity between two nodes must be routed on a path which has shortest metric value and the link metric value is determined by the installed facilities on the link. By this routing restriction, the problem has a distinct characteristic. We present an integer programming formulation containing the primal-dual optimality conditions to the shortest path routing. We give some computational results for the model.Keywords: integer programming, multicommodity network design, routing, shortest path
Procedia PDF Downloads 4207090 Minors and Terrorism: A Discussion about the Recruitment and Resilience
Authors: Marta Maria Aguilar Carceles
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This theoretical study argues how terrorism is rising around the world and which are the factors and situations that contribute to this process. Linked to aspects of human development, minors are one of the most vulnerable collectives to be engaged for this purpose. Its special weakness and lower possibility of self-defense makes them more likely to become victims as a result of a brainwashing process. Terrorism is an illicit way to achieve political and social changes and new technologies and available resources make it easier to spread. In this sense, throughout a theoretical revision of different recent and scientific articles, it is evaluated which risk factors can provoke its affiliation and later develop of antisocial and illicit behavior. An example of this group of factors could be the inter-generational continuity between parents and their children, as well as the sociodemographic aspects joined to cultural experiences (i.e. sense of dishonor, frustration, etc.). The assess of this kind of variables must be accompanied by the evaluation of protective factors, because the reasons through one person decides to join to terrorism are inherently idiosyncratic and we can only install mechanisms of prevention knowing those personal characteristics. To sum, both aspects underline the relevance of the internalizing and externalizing personal factors, each of them in one specific direction: a) to increase the possibility of being recruited or follow this type of criminal group by himself, and b) to be able of avoiding the effects and consequences of terrorism thanks to personal and resilient characteristics (resilience).Keywords: criminality, minors, recruitment, resilience, terrorism
Procedia PDF Downloads 1357089 Multi-Objective Multi-Mode Resource-Constrained Project Scheduling Problem by Preemptive Fuzzy Goal Programming
Authors: Busaba Phurksaphanrat
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This research proposes a pre-emptive fuzzy goal programming model for multi-objective multi-mode resource constrained project scheduling problem. The objectives of the problem are minimization of the total time and the total cost of the project. Objective in a multi-mode resource-constrained project scheduling problem is often a minimization of make-span. However, both time and cost should be considered at the same time with different level of important priorities. Moreover, all elements of cost functions in a project are not included in the conventional cost objective function. Incomplete total project cost causes an error in finding the project scheduling time. In this research, pre-emptive fuzzy goal programming is presented to solve the multi-objective multi-mode resource constrained project scheduling problem. It can find the compromise solution of the problem. Moreover, it is also flexible in adjusting to find a variety of alternative solutions.Keywords: multi-mode resource constrained project scheduling problem, fuzzy set, goal programming, pre-emptive fuzzy goal programming
Procedia PDF Downloads 4357088 Operator Splitting Scheme for the Inverse Nagumo Equation
Authors: Sharon-Yasotha Veerayah-Mcgregor, Valipuram Manoranjan
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A backward or inverse problem is known to be an ill-posed problem due to its instability that easily emerges with any slight change within the conditions of the problem. Therefore, only a limited number of numerical approaches are available to solve a backward problem. This paper considers the Nagumo equation, an equation that describes impulse propagation in nerve axons, which also models population growth with the Allee effect. A creative operator splitting numerical scheme is constructed to solve the inverse Nagumo equation. Computational simulations are used to verify that this scheme is stable, accurate, and efficient.Keywords: inverse/backward equation, operator-splitting, Nagumo equation, ill-posed, finite-difference
Procedia PDF Downloads 977087 A Non-Iterative Shape Reconstruction of an Interface from Boundary Measurement
Authors: Mourad Hrizi
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In this paper, we study the inverse problem of reconstructing an interior interface D appearing in the elliptic partial differential equation: Δu+χ(D)u=0 from the knowledge of the boundary measurements. This problem arises from a semiconductor transistor model. We propose a new shape reconstruction procedure that is based on the Kohn-Vogelius formulation and the topological sensitivity method. The inverse problem is formulated as a topology optimization one. A topological sensitivity analysis is derived from a function. The unknown subdomain D is reconstructed using a level-set curve of the topological gradient. Finally, we give several examples to show the viability of our proposed method.Keywords: inverse problem, topological optimization, topological gradient, Kohn-Vogelius formulation
Procedia PDF Downloads 2447086 Least Squares Solution for Linear Quadratic Gaussian Problem with Stochastic Approximation Approach
Authors: Sie Long Kek, Wah June Leong, Kok Lay Teo
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Linear quadratic Gaussian model is a standard mathematical model for the stochastic optimal control problem. The combination of the linear quadratic estimation and the linear quadratic regulator allows the state estimation and the optimal control policy to be designed separately. This is known as the separation principle. In this paper, an efficient computational method is proposed to solve the linear quadratic Gaussian problem. In our approach, the Hamiltonian function is defined, and the necessary conditions are derived. In addition to this, the output error is defined and the least-square optimization problem is introduced. By determining the first-order necessary condition, the gradient of the sum squares of output error is established. On this point of view, the stochastic approximation approach is employed such that the optimal control policy is updated. Within a given tolerance, the iteration procedure would be stopped and the optimal solution of the linear-quadratic Gaussian problem is obtained. For illustration, an example of the linear-quadratic Gaussian problem is studied. The result shows the efficiency of the approach proposed. In conclusion, the applicability of the approach proposed for solving the linear quadratic Gaussian problem is highly demonstrated.Keywords: iteration procedure, least squares solution, linear quadratic Gaussian, output error, stochastic approximation
Procedia PDF Downloads 1867085 A Case Study of Bee Algorithm for Ready Mixed Concrete Problem
Authors: Wuthichai Wongthatsanekorn, Nuntana Matheekrieangkrai
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This research proposes Bee Algorithm (BA) to optimize Ready Mixed Concrete (RMC) truck scheduling problem from single batch plant to multiple construction sites. This problem is considered as an NP-hard constrained combinatorial optimization problem. This paper provides the details of the RMC dispatching process and its related constraints. BA was then developed to minimize total waiting time of RMC trucks while satisfying all constraints. The performance of BA is then evaluated on two benchmark problems (3 and 5construction sites) according to previous researchers. The simulation results of BA are compared in term of efficiency and accuracy with Genetic Algorithm (GA) and all problems show that BA approach outperforms GA in term of efficiency and accuracy to obtain optimal solution. Hence, BA approach could be practically implemented to obtain the best schedule.Keywords: bee colony optimization, ready mixed concrete problem, ruck scheduling, multiple construction sites
Procedia PDF Downloads 3857084 A Two Tailed Secretary Problem with Multiple Criteria
Authors: Alaka Padhye, S. P. Kane
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The following study considers some variations made to the secretary problem (SP). In a multiple criteria secretary problem (MCSP), the selection of a unit is based on two independent characteristics. The units that appear before an observer are known say N, the best rank of a unit being N. A unit is selected, if it is better with respect to either first or second or both the characteristics. When the number of units is large and due to constraints like time and cost, the observer might want to stop earlier instead of inspecting all the available units. Let the process terminate at r2th unit where r17083 The Emoji Method: An Approach for Identifying and Formulating Problem Ideas
Authors: Thorsten Herrmann, Alexander Laukemann, Hansgeorg Binz, Daniel Roth
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For the analysis of already identified and existing problems, the pertinent literature provides a comprehensive collection of approaches as well as methods in order to analyze the problems in detail. But coming up with problems, which are assets worth pursuing further, is often challenging. However, the importance of well-formulated problem ideas and their influence of subsequent creative processes are incontestable and proven. In order to meet the covered challenges, the Institute for Engineering Design and Industrial Design (IKTD) developed the Emoji Method. This paper presents the Emoji Method, which support designers to generate problem ideas in a structured way. Considering research findings from knowledge management and innovation management, research into emojis and emoticons reveal insights by means of identifying and formulating problem ideas within the early design phase. The simple application and the huge supporting potential of the Emoji Method within the early design phase are only few of the many successful results of the conducted evaluation. The Emoji Method encourages designers to identify problem ideas and describe them in a structured way in order to start focused with generating solution ideas for the revealed problem ideas.Keywords: emojis, problem ideas, innovation management, knowledge management
Procedia PDF Downloads 1437082 A Genetic Algorithm to Schedule the Flow Shop Problem under Preventive Maintenance Activities
Authors: J. Kaabi, Y. Harrath
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This paper studied the flow shop scheduling problem under machine availability constraints. The machines are subject to flexible preventive maintenance activities. The nonresumable scenario for the jobs was considered. That is, when a job is interrupted by an unavailability period of a machine it should be restarted from the beginning. The objective is to minimize the total tardiness time for the jobs and the advance/tardiness for the maintenance activities. To solve the problem, a genetic algorithm was developed and successfully tested and validated on many problem instances. The computational results showed that the new genetic algorithm outperforms another earlier proposed algorithm.Keywords: flow shop scheduling, genetic algorithm, maintenance, priority rules
Procedia PDF Downloads 4717081 Play in College: Shifting Perspectives and Creative Problem-Based Play
Authors: Agni Stylianou-Georgiou, Eliza Pitri
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This study is a design narrative that discusses researchers’ new learning based on changes made in pedagogies and learning opportunities in the context of a Cognitive Psychology and an Art History undergraduate course. The purpose of this study was to investigate how to encourage creative problem-based play in tertiary education engaging instructors and student-teachers in designing educational games. Course instructors modified content to encourage flexible thinking during game design problem-solving. Qualitative analyses of data sources indicated that Thinking Birds’ questions could encourage flexible thinking as instructors engaged in creative problem-based play. However, student-teachers demonstrated weakness in adopting flexible thinking during game design problem solving. Further studies of student-teachers’ shifting perspectives during different instructional design tasks would provide insights for developing the Thinking Birds’ questions as tools for creative problem solving.Keywords: creative problem-based play, educational games, flexible thinking, tertiary education
Procedia PDF Downloads 2917080 Existence Solutions for Three Point Boundary Value Problem for Differential Equations
Authors: Mohamed Houas, Maamar Benbachir
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In this paper, under weak assumptions, we study the existence and uniqueness of solutions for a nonlinear fractional boundary value problem. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using scheafer and krasnoselskii's fixed point theorem. At the end, some illustrative examples are presented.Keywords: caputo derivative, boundary value problem, fixed point theorem, local conditions
Procedia PDF Downloads 4287079 Predictive Power of Achievement Motivation on Student Engagement and Collaborative Problem Solving Skills
Authors: Theresa Marie Miller, Ma. Nympha Joaquin
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The aim of this study was to check the predictive power of social-oriented and individual-oriented achievement motivation on student engagement and collaborative problem-solving skills in mathematics. A sample of 277 fourth year high school students from the Philippines were selected. Surveys and videos of collaborative problem solving activity were used to collect data from respondents. The mathematics teachers of the participants were interviewed to provide qualitative support on the data. Systemaitc correlation and regression analysis were employed. Results of the study showed that achievement motivations−SOAM and IOAM− linearly predicted student engagement but was not significantly associated to the collaborative problem-solving skills in mathematics. Student engagement correlated positively with collaborative problem-solving skills in mathematics. The results contribute to theorizing about the predictive power of achievement motivations, SOAM and IOAM on the realm of academic behaviors and outcomes as well as extend the understanding of collaborative problem-solving skills of 21st century learners.Keywords: achievement motivation, collaborative problem-solving skills, individual-oriented achievement motivation, social-oriented achievement motivation, student engagement
Procedia PDF Downloads 3137078 Discrete Breeding Swarm for Cost Minimization of Parallel Job Shop Scheduling Problem
Authors: Tarek Aboueldahab, Hanan Farag
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Parallel Job Shop Scheduling Problem (JSP) is a multi-objective and multi constrains NP- optimization problem. Traditional Artificial Intelligence techniques have been widely used; however, they could be trapped into the local minimum without reaching the optimum solution, so we propose a hybrid Artificial Intelligence model (AI) with Discrete Breeding Swarm (DBS) added to traditional Artificial Intelligence to avoid this trapping. This model is applied in the cost minimization of the Car Sequencing and Operator Allocation (CSOA) problem. The practical experiment shows that our model outperforms other techniques in cost minimization.Keywords: parallel job shop scheduling problem, artificial intelligence, discrete breeding swarm, car sequencing and operator allocation, cost minimization
Procedia PDF Downloads 1877077 Urgent Need for E -Waste Management in Mongolia
Authors: Enkhjargal Bat-Ochir
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The global market of electrical and electronic equipment (EEE) has increasing rapidly while the lifespan of these products has become increasingly shorter. So, e-waste is becoming the world’s fastest growing waste stream. E-waste is a huge problem when it’s not properly disposed of, as these devices contain substances that are harmful to the environment and to human health as they contaminate the land, water, and air. This paper tends to highlight e-waste problem and harmful effects and can grasp the extent of the problem and take the necessary measures to solve it in Mongolia and to improve standards and human health.Keywords: e -waste, recycle, electrical, Mongolia
Procedia PDF Downloads 4197076 Analysis of an Error Estimate for the Asymptotic Solution of the Heat Conduction Problem in a Dilated Pipe
Authors: E. Marušić-Paloka, I. Pažanin, M. Prša
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Subject of this study is the stationary heat conduction problem through a pipe filled with incompressible viscous fluid. In previous work, we observed the existence and uniqueness theorems for the corresponding boundary-value problem and within we have taken into account the effects of the pipe's dilatation due to the temperature of the fluid inside of the pipe. The main difficulty comes from the fact that flow domain changes depending on the solution of the observed heat equation leading to a non-standard coupled governing problem. The goal of this work is to find solution estimate since the exact solution of the studied problem is not possible to determine. We use an asymptotic expansion in order of a small parameter which is presented as a heat expansion coefficient of the pipe's material. Furthermore, an error estimate is provided for the mentioned asymptotic approximation of the solution for inner area of the pipe. Close to the boundary, problem becomes more complex so different approaches are observed, mainly Theory of Perturbations and Separations of Variables. In view of that, error estimate for the whole approximation will be provided with additional software simulations of gotten situation.Keywords: asymptotic analysis, dilated pipe, error estimate, heat conduction
Procedia PDF Downloads 2357075 Existence of Positive Solutions for Second-Order Difference Equation with Discrete Boundary Value Problem
Authors: Thanin Sitthiwirattham, Jiraporn Reunsumrit
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We study the existence of positive solutions to the three points difference summation boundary value problem. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem due to Krasnoselskii in cones.Keywords: positive solution, boundary value problem, fixed point theorem, cone
Procedia PDF Downloads 4397074 A Heuristic Based Decomposition Approach for a Hierarchical Production Planning Problem
Authors: Nusrat T. Chowdhury, M. F. Baki, A. Azab
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The production planning problem is concerned with specifying the optimal quantities to produce in order to meet the demand for a prespecified planning horizon with the least possible expenditure. Making the right decisions in production planning will affect directly the performance and productivity of a manufacturing firm, which is important for its ability to compete in the market. Therefore, developing and improving solution procedures for production planning problems is very significant. In this paper, we develop a Dantzig-Wolfe decomposition of a multi-item hierarchical production planning problem with capacity constraint and present a column generation approach to solve the problem. The original Mixed Integer Linear Programming model of the problem is decomposed item by item into a master problem and a number of subproblems. The capacity constraint is considered as the linking constraint between the master problem and the subproblems. The subproblems are solved using the dynamic programming approach. We also propose a multi-step iterative capacity allocation heuristic procedure to handle any kind of infeasibility that arises while solving the problem. We compare the computational performance of the developed solution approach against the state-of-the-art heuristic procedure available in the literature. The results show that the proposed heuristic-based decomposition approach improves the solution quality by 20% as compared to the literature.Keywords: inventory, multi-level capacitated lot-sizing, emission control, setup carryover
Procedia PDF Downloads 138