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1
Properties Of Indefinite Matrix Constraints For Linear Programming In Optimal Solution
Published 2018“…Finding the optimum solution in engineering and science is a common problem where one wishes to get the objective under certain constraints.This situation is also a typical issue in manufacturing industries where maximum profit and minimum cost are a common objective under certain constraints on the available resources.One approach to solve optimization is to use formulation problem in linear form and subjects to linear constraints,the problem can be deliberated as linear programming problem.The linear constraints can be in a form of a matrix.There are limited researches that discuss the effect of the properties of matrix constraint to the solution.In fact,the matrix constraint has significant influence to the existent of the optimal solution to the optimization problem.This research focused on the investigation of characteristics of non-symmetric indefinite square matrices of linear programming problems which represent the constraints of linear programming problems.The non-symmetric indefinite square matrices are generated randomly by the MATLAB simulation software and its indefinite properties are verified through the principal minor test,quadratic form test and eigenvalues test.The solutions of the primal and dual linear programming problem are simulated and discussed.Optimization software,LINGO,is used to validate the solutions to assure the reliability of the simulated solutions in the MATLAB software.Based on the simulation results,some of the non-symmetric indefinite random matrices found duality gap and those matrices could not provide optimal solution to the problem.Whereas,some indefinite matrices with certain characteristics could achieve optimal solution and no duality gap presented.An indefinite random matrix with all positive off-diagonal entries and the determinant of leading principal minors with positive sign at odd orders and negative sign at even orders surely deliver the optimal solution to the linear programming problems.This research may contribute to the advancement of linear programming solution particularly when the constraints form an indefinite matrix.…”
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2
A Stackelberg solution to a two-level linear fractional programming problem with interval coefficients in the objective functions
Published 2012“…In the first approach, linear fractional programming with interval coefficients in the objective function and linear programming were utilized to obtain Stackelberg solution, but in the second approach only linear programming is used. …”
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On the weakness of linear programming to interpret the nature of solution of fully fuzzy linear system
Published 2014“…One of the applications of linear programing is to get solutions for fully fuzzy linear system (FFLS) when the near-zero fuzzy number is considered.This usage could be applied to interpret the nature of FFLS solution according to the nature of FFLS solution in the work of Babbar et al.…”
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A new approach for generating efficient solutions within the goal programming model
Published 2011“…This paper deals with the issue of efficiency in the Goal Programming (GP) model. A general approach for the determination of an efficient solution of GP is presented. …”
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Programming solutions for machining / Nor Hasnan Hussain and Mat Yudin Juhari
Published 1986“…We have carried out the preliminary stage of the project entitled ’The Programming Solution for Machining' successfully but there is still room for improvement. …”
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Solving load flow solution using evolutionary programming method / Nurul-Huda Ismail
Published 2003“…The EP developed uses the total active and reactive power mismatches as the objective functions for the load flow solution. It is found that the result from the EP are closed to these obtained from the traditional method.…”
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Analysis review on challenges and solutions to computer programming teaching and learning / Noor Hasnita Abdul Talib and Jasmin Ilyani Ahmad
Published 2021“…Thus, this study aims to identify the factors contributing to the challenges and difficulties in teaching and learning programming and to review proposed solutions to overcome those challenges.…”
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An assessment on the effect of different characteristics of symmetric matrices to primal and dual solutions in linear programming
Published 2013“…If the coefficient matrix of the LP problem was non-singular matrix then the LP solution did not necessarily had the optimal solution. …”
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Heuristic approach to solution of unit commitment for electrical system / Azizan Harun
Published 1996“…This paper describes in general view of the algorithm developed for a unit commitment solution for electrical system. The unit commitment program optimizes the shutdown and generation cost so as to achieve minimum system fuel costs. …”
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Development of improved solution methods for deterministic and stochastic supply chain network design
Published 2011“…Considering the difficulties in solving the two-stage stochastic program using the sample average approximation as a well-known technique, an improved stochastic solution method was developed to solve the two-stage stochastic program. …”
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Explicit solution of parameter estimate using multiparametric programming for boost converter
Published 2023“…This work proposes an approach to estimate the parameters of capacitance and inductance in a boost converter using an explicit solution. A multiparametric programming (MPP) algorithm is fundamental to the suggested methodology, which aims to develop parameters as explicit functions of measurements. …”
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Bicara industri: kerjaya graduan bersama ADK Solution Sdn. Bhd. 4 April 2023 / Asmah Sabtu
“…Program Live @ PTAR menerusi Segmen Bicara Industri kali ini telah menampilkan panel luar UiTM iaitu Ketua Pegawai Eksekutif ADK Solution Sdn. …”
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Online tools to support novice programming: A systematic review
Published 2018“…From the review conducted, it is observed that most of the work is carried out to ease the implementation of the solution through an integrated development environment, and block programming. …”
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SMAS: A solution-based multi-agent system for improving problem solving skills in computer programming
Published 2017“…The aim is to introduce the early stages of learning programming (CS1). By using SMAS, students can focus on solution designing activities in the form of flowchart development more than on language and syntax. …”
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Solving unit commitment problem with wind energy using artificial immune evolutionary programming optimization technique / Mohamad Fitri Ramli
Published 2013“…This project proposes a solution to unit commitment problem with wind power using artificial immune evolutionary programming. …”
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A study on solution of matrix riccati differential equations using ant colony programming and simulink / Mohd Zahurin Mohamed Kamali
Published 2015“…Besides that, we compared our present work with numerical solution obtained by Runge-Kutta fourth order (RK4) and a non-traditional method such as the ge- netic programming (GP). …”
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An Environmentally Energy Dispatch Using New Meta Heuristic Evolutionary Programming
Published 2018“…Basically,one important issue in the power system network is to provide the optimal Economic Load Dispatch (ELD) solution in order to guarantee the sustainable consumer load demand.However,today ELD solution is essential to include together with the environmental aspect and known as Environmental Economic Load Dispatch (EELD).For that reason, many researchers continue in the development of new simulation tool specifically to overcome the EELD problems.Therefore,this study prepared an improved hybrid metaheuristic technique named as New Meta Heuristic Evolutionary Programming (NMEP) to provide the best possible solution in solving the identified single objective and multi objective functions for EELD solution.This new technique a merging cloning strategy that involved in an Artificial Immune System (AIS) algorithm into algorithm of Meta Heuristic Evolutionary Programming (Meta-EP).The development of NMEP technique is to minimize total cost,reduce the total emission during generator operation through the common formula in EELD and lowest total system loss.Besides that,all mentioned objective functions were also optimized together simultaneously that formulated using the weighted sum method before had been executed on the multi objective NMEP or called MONMEP.Both individual and multi objective NMEP techniques performance were verified among other two common heuristic methods known as AIS and Meta-EP techniques.In addition,the best possible solution defined using the aggregate function method.Through this method,the selection of the best MOEELD solution became effortless as compared with MO individually that required compare two or more objective function in one time manually.Among those three optimization techniques the lowest total aggregate values mostly resulted via the NMEP technique.Based upon that,the proposed technique is proving as the outstanding method compared with Meta-EP and AIS techniques in solving the EELD problem for both standard IEEE 26 bus and 57 bus systems.…”
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A least cost approach for power plant portfolio optimization in a regulated environment electricity supply industry with constraints
Published 2023Subjects: “…Dynamic programming…”
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Comparison Between Linear Programming And Integer Linear Programming: A Review
Published 2018“…This research discusses comparison of linear programming (LP) and integer linear programming (ILP). …”
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Programming Approach in Teaching Operations Research Techniques for Computer Science Students
Published 2005“…OR techniques include among others, linear programming, non-linear programming, integer programming, data analysis including statistics, simulation, and goal programming. …”
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