Simplex method

The extraction and determination of chlorinated biphenyls (CBs) in soils and solid wastes is an ongoing subject of study. This is an overview article that compares the microwave-assisted extraction (MAE) and accelerated solvent extraction (ASE) techniques. The extraction of CBs by ASE has been optimised taking into account the variation of pressure, temperature and extraction time by means of experimental design and the Simplex approach. The recoveries obtained under the optimum conditions are compared and discussed with those obtained from MAE and Soxhlet extractions.

In the present paper we present a new method for solving a class of single stage single constraints linear fractional programming (LFP) problem. The proposed method is based on transformation the objective value and the constraints also. After reducing the fractional program in to equivalent linear program with the help of transformation technique, after that we apply Simplex method to find objective value. Numerical
examples are constructed to show the applicability of the above technique

Abstract In this paper, an investigation of the behavior of a recently defined hybrid algorithm for continuous variables electromagnetic optimization problems is presented. This algorithm makes use of the nonlinear simplex method as a principal optimizator, and a greedy genetic algorithm to explore the search space. The algorithm is greatly affected by the tuning of some parameters. Referring to a solenoids system optimal design problem, a detailed comparison of performances obtained implementing a metaheuristic tuning is presented

A new binder system has been developed which is based on manihot esculenta and cement. The new binder system is expected to be an alternative to Urea formaldehyde furfuryl alcohol binder system commonly used in the foundry for core making; it is a cold setting binder system. The cost factor is one of the reasons for the development of this new binder system, therefore LP simplex method model was used in the determination of the minimized cost using this newly developed binder system for core making. The result showed that the cost was $1.57/1kg of core mixture as against $5 for using urea formaldehyde furfuryl alcohol binder system. The work also revealed that strict adherence to the compositional constraints is very important since any change in either of the constraints would lead to a change in the total cost of producing the core mixture and consequently too, a change in the properties of the cores produced using the core mixture.

ABSTRACT Application of a fuzzy logic controller to a class of hydraulically actuated industrial robots is investigated. A simple set of membership functions and rules are described which meets certain control requirements. An off-line routine based on the simplex method is outlined to tune the controller gains for an optimum response. The fuzzy control gains are tuned by minimizing the summation of absolute position errors over step input responses. The fuzzy logic controller is first examined through simulation of a two-link hydraulic robot of the same hydraulic configuration as many industrial manipulators. The controller has positive aspects which cannot be easily achieved by conventional control techniques. These include a fast rise-time and a well maintained damped response. The fuzzy controller is applied to an instrumented Unimate MK-II industrial hydraulic robot. The experimental results are encouraging in that the best performing control gains are found for different links with a reasonable number of trials and produce step responses with fast response and few oscillations at the set point. The controller demonstrates robustness

The analysis of modal and normative composition of sedimentary rocks is widely used for studying their sources and tectonic settings. The normative calculation of the mineral composition of rocks in this study is formulated as a linear programming problem and is solved by means of the simplex method. This enables both simultaneous and successive subtraction of a set of basic minerals from a rock sample represented by its chemical composition {SiO2...LOI}. Such an approach provides a more exact calculation of the contribution of basic minerals in the rock. This mathematical approach is used to study two representative sets of sandstones and fine-grained rocks from a Meso- to Neoproterozoic marginal basin of southeastern Siberia (Uchur–Maya region, Yakutia) and a Pennsylvanian-Lower Permian uplifted continental block in Colorado, USA. The calculated normative mineral compositions of the Siberian sandstones are consistent with the observed modal compositions. These sandstones vary from K- Feldspar rich arkoses at the base of the sequence (the Uchur Group, lower Riphean) to quartz arenites or lithic sandstones and wacke in transgressive successions of the middle-upper Riphean. Arkoses and quartz arenites are dominant in Meso- to Neoproterozoic Siberia. These samples represent craton interior uplifted basement and quartzose, recycled orogen provenance of a stable craton in Rodinia. There are higher but consistent discrepancies between the calculated and observed compositions for the Pennsylvanian to Lower-Permian arkoses and quartz arenites (Sangre de Cristo, Belden, and Maroon Formations). The differences between the predicted and observed mineralogy may be due to uncertainties in the modes in the matrix and cement of the sandstones. This normative program should supplement modal calculations and provide better genetic constructions, especially in case of matrix-rich sandstones.

This book, written in Portuguese, deals with Operational Research topics, such as linear programming models and direct techniques for solving Ax = b systems, revised simplex method, Markov processes and queuing systems, in addition to Monte Carlo simulation.

This paper aims for profit optimization of an Ethiopian chemical company located in Adama (Ethiopia) using linear programming model. Particularly, our present study brings out clearly the necessity of using quantitative techniques for utilization in Ethiopian company; a factory situated within Adama about 90 kms. from Addis Ababa (Capital of Ethiopia). The
first step comprises data generation. A questionnaire is prepared and circulated amongst company staff both executive and technical to determine the production, sales and profit during a few months of 2014. The profits varied considerably owing to subjective approach. It was established that the decisions are undertaken by experienced people without use of quantitative
people and quantitative method. Whole approach applied here is seemingly subjective. A theoretical perspective undertaken for the present study is review of various different applications of linear programming. The characteristics of base assumptions of linear programming and its advantages and disadvantages towards establishing its need for optimization are briefly outlined in terms of its application to the factory. Survey data is analyzed to determine the style of decision making and the problem is defined. An objective function is created in terms of decision variables of production, sales and profit over a period of time using
the quantitatively available data of these parameters. A linear programming model for company is developed for profit optimization. The model equations with adequate restraints taking into account manufacturing limitations are solved using MS-Excel solver. Finally, some conclusive observations have been drawn and recommendations have been suggested.

In this paper we consider application of linear programming in solving optimization problems with constraints. We used the simplex method for finding a maximum of an objective function. This method is applied to a real example. We used the “linprog” function in MatLab for problem solving. We have shown, how to apply simplex method on a real world problem, and to solve it using linear programming. Finally we investigate the complexity of the method via variation of the computer time versus the number of control variables.

El presente documento, contiene conceptos básicos relacionados a la investigación de operaciones y estadística, con ejemplos demostrativos desarrollados analíticamente y posteriormente probados en la plataforma: MatLab, a través de resultados numéricos y gráficos. Matrix Laboratory (Matlab) es una herramienta especializada en el cálculo y desarrollo de operaciones matemáticas, siendo una de las más robustas en cuánto a la manipulación de matrices y gráficos. Asimismo contiene paquetes especializados en diferentes campos del conocimiento, cómo por ejemplo: Biología, Ingeniería, Matemáticas, Finanzas, entre otros. A lo largo del documento se explica la estructura del código aplicado a los diferentes problemas y se darán distintos enfoques de acuerdo al tipo de programación en Investigación de operaciones o los datos analizados en estadística, para poder comprender a fondo las líneas de código.

De nombreux problèmes de sciences physiques, biologiques, technologiques ou des problèmes issus de modèles économiques et sociaux sont traités par les méthodes numériques. La partie théorique des méthodes numériques relève des mathématiques, et la partie mise en pratique aboutit généralement à l’implémentation d’algorithmes sur ordinateur. Ces méthodes se fondent à la fois sur la recherche de solutions exactes comme dans le cas de l’analyse matricielle ou du calcul symbolique, sur des solutions approchées qui résultent le plus souvent de processus de discrétisation comme dans le traitement des équations diérentielles.

In this paper a linear programming technique is applied to determine the optimise other process cost of cultivation of major veg - tables in Coimbatore by using TNAU Horticulture department data with respect to various factors. In this paper we are using simplex method to maximizing the profit. Linear programming technique is relevant in optimization of resource allocation & achieving effectively in production planning particularly in achieving increased agriculture production of food crops (tomato, bhendi, chilli).

In this paper, new alternative methods for simplex
method, Big M method and dual simplex method are introduced.
These methods are easy to solve linear programming problem.
These are powerful methods. It reduces number of iterations and
save valuable time.

Biometric system performance can be improved by means of data fusion. Several kinds of information can be fused in order to obtain a more accurate classification (identification or verification) of an input sample. In this paper we present a method for computing the weights in a weighted sum fusion for score combinations, by means of a likelihood model. The maximum likelihood estimation is set as a linear programming problem. The scores are derived from a GMM classifier working on different feature extraction techniques. Our experimental results assessed the robustness of the system in front changes on time (different sessions) and robustness in front of changes of microphone. The improvements obtained were significantly better (error bars of two standard deviations) than a uniform weighted sum or a uniform weighted product or the best single classifier. The proposed method scales computationally with the number of scores to be fusioned as the simplex method for linear programming.

In this paper, new alternative methods for simplex method, Big M method and dual simplex method are introduced. These methods are easy to solve linear programming problem. These are powerful methods. It reduces number of iterations and save valuable time.

... 00207160902775090 Aldina Correia a * , João Matias b , Pedro Mestre c & Carlos Serôdio c pages 1841-1851. ... New York: IEOR Department, Columbia University. Mathematical Programming, Tech. Rep View all references, Fletcher et al. 66. Fletcher, R. and Leyffer, S. 1999. ...

A powerpoint of Linear Programming's Simplex Method based on cases in 2003/2004 edition of Operations Research Literature (translated) by Drs. Zulian Yamit, M.Si.
Has been designed for easier way to present the making of simplex table by improving it's understandability using different colors to represent each factors of the simplex table. (Explanatory notes excluded).

Simplex Solver - This application allow the user solve Linear Programming (LP) problems in Tableau form. The application uses a txt file to data entry and the user can access the results trough txt file or by the screen. URL to downloading the application is avaluable on Section 4 of pdf document.

Simplex Solver - Esta aplicação permite ao usuário resolver problemas de programação linear na forma de Tableau. A aplicação utiliza a entrada de dados do problemas através de um arquivo txt, permitindo também ao usuário salvar os resultados em arquivo txt ou lê-las diretamente na tela do computador.

In this paper, we generalize the concept of sensitivity analysis in fuzzy number linear programming (FLNP) problems by applying fuzzy simplex algorithms and using the general linear ranking functions on fuzzy numbers. The purpose of sensitivity analysis is to determine changes in the optimal solution of FNLP problem resulting from changes in the data. If the change affects the optimality of the basis, we perform primal pivots to achieve optimality by use of the fuzzy primal simplex method. Whenever the change destroys the feasibility of the optimal basis, we perform dual pivots to achieve feasibility by use of the fuzzy dual simplex method.

Simplex Method of Linear Programming is a repetitive optimizing technique to determine the possible output in order to maximize a profit in a business plan. A good foundation in Mathematics is the main tool in getting the solution. Many papers aimed to find out the Mathematics performance and the factors affecting the learner's performance and yet this problem remained unsolved. The objective of this paper is to analyze the common errors committed by the Second Year Bachelor of Science in Accountancy students at the University of Northern Philippines. The scores of the written examination of the respondents were interpreted using error analysis. It was found out that the common errors are: basic application of the operations of numbers, determining the entering variable, miscopied values, incomplete variables in the final answer, and unfinished solution. These errors maybe due to ignorance to the rules in applying the simplex method. The study recommends giving higher percentage to basic operations in the total score of the written examination of students, Furthermore, the College should give seminars to the Accountancy students on how to manage their time in solving Mathematical problems.