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Journal articles on the topic 'Simplex method'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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1

Zeng, M., and W. Q. Tao. "A comparison study of the convergence characteristics and robustness for four variants of SIMPLE‐family at fine grids." Engineering Computations 20, no. 3 (2003): 320–40. http://dx.doi.org/10.1108/02644400310467234.

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A comparative study is performed to reveal the convergence characteristics and the robustness of four variants in the semi‐implicit method for pressure‐linked equations (SIMPLE)‐family: SIMPLE, SIMPLE revised (SIMPLER), SIMPLE consistent (SIMPLEC), and SIMPLE extrapolation (SIMPLEX). The focus is concentrated in the solution at fine grid system. Four typical fluid flow and heat transfer problems are taken as the numerical examples (lid‐driven cavity flow, flow in an axisymmetric sudden expansion, flow in an annulus with inner surface rotating and the natural convection in a square enclosure).

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2

Protasov, Vladimir Yu. "Spectral simplex method." Mathematical Programming 156, no. 1-2 (2015): 485–511. http://dx.doi.org/10.1007/s10107-015-0905-2.

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3

Salih, Bashir, and Muhammad Ali. "Parallel Simplex Method Improvements." AL-Rafidain Journal of Computer Sciences and Mathematics 2, no. 2 (2005): 67–86. http://dx.doi.org/10.33899/csmj.2005.164089.

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4

Kim, Young-Soo. "Refined simplex fitting method." Optical Engineering 43, no. 12 (2004): 2921. http://dx.doi.org/10.1117/1.1813440.

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5

Cardoso, Domingos M., and João C. N. Clímaco. "The generalized simplex method." Operations Research Letters 12, no. 5 (1992): 337–48. http://dx.doi.org/10.1016/0167-6377(92)90094-j.

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6

Parvathi, R., and C. Malathi C.Malathi. "Intuitionistic Fuzzy Simplex Method." International Journal of Computer Applications 48, no. 6 (2012): 39–48. http://dx.doi.org/10.5120/7353-0099.

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7

Fábián, Csaba I., Krisztián Eretnek, and Olga Papp. "A regularized simplex method." Central European Journal of Operations Research 23, no. 4 (2014): 877–98. http://dx.doi.org/10.1007/s10100-014-0344-9.

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8

Cameron, Neil. "Stationarity in the simplex method." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 43, no. 1 (1987): 137–42. http://dx.doi.org/10.1017/s1446788700039513.

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AbstractDegeneracies occur with increasing frequency in some large scale linear programming problems, but with a simple change to the (revised) simplex method, resulting stationarity of the algorithm can be reduced. The method introduced here may also prevent cycling; neither the lexicographic refinement of Dantzig, Orden and Wolfe nor the perturbation technique of Charnes may be required to prevent cycling.

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9

Vaidya, N. "Application of Quick Simplex Method on the Dual Simplex Method (A New Approach)." Journal of Advances in Mathematics and Computer Science 24, no. 5 (2017): 1–9. http://dx.doi.org/10.9734/jamcs/2017/36357.

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10

Pawan, Kishore Tak, Shekhar Gyan, and Mangal Adarsh. "Optimization through Quick Simplex Method." APPLIED SCIENCE PERIODICAL XXVI, no. 4, November 2024 (2024): 24–34. https://doi.org/10.5281/zenodo.14868522.

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<em>           This research paper proposes the Quick simplex method to solve the Quadratic Programming Problem (QPP) for the very first time. The same had been introduced to solve the Linear Programming Problem (LPP) by Vaidya et al. In this paper, we used the Quick simplex method to solve linearly factorized quadratic optimization problem. These types of problems are concerned with the non-linear programming problems of optimizing (maximizing/minimizing) the objective function subject to a set of linear inequality constraints. The proposed method is more efficie

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11

Nadar, Divya K. "Some Applications of Simplex Method." RIET-IJSET: International Journal of Science, Engineering and Technology 2, no. 2 (2015): 171. http://dx.doi.org/10.5958/2395-3381.2015.00018.0.

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12

Stojkovic, Nebojsa, Predrag Stanimirovic, and Marko Petkovic. "Several modifications of simplex method." Filomat, no. 17 (2003): 169–76. http://dx.doi.org/10.2298/fil0317169s.

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We analyze the problem of finding the first basic solution in the two phases simplex algorithm. Also, a modification and several improvements of the simplex method are introduced. We report computational results on numerical examples from Netlib test set.

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13

Bixby, Robert E., and Alexander Martin. "Parallelizing the Dual Simplex Method." INFORMS Journal on Computing 12, no. 1 (2000): 45–56. http://dx.doi.org/10.1287/ijoc.12.1.45.11902.

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14

Vitor, Fabio, and Todd Easton. "The double pivot simplex method." Mathematical Methods of Operations Research 87, no. 1 (2017): 109–37. http://dx.doi.org/10.1007/s00186-017-0610-4.

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15

Agnew, Robert A. "Corrections to compact simplex method." ACM SIGAPL APL Quote Quad 16, no. 1 (1985): 31. http://dx.doi.org/10.1145/587690.587700.

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16

Stanley, Jonathan D. "A forward convex-simplex method." European Journal of Operational Research 29, no. 3 (1987): 328–35. http://dx.doi.org/10.1016/0377-2217(87)90246-3.

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17

Yarmish, Gavriel, and Richard Van Slyke. "A distributed, scaleable simplex method." Journal of Supercomputing 49, no. 3 (2009): 373–81. http://dx.doi.org/10.1007/s11227-008-0253-6.

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18

Alkhairi, Fadlan, Kasa Inti Josia Tambunan, Naila Fauziah, Sabrina Aisyah Putri Barus, and Erlinawaty Simanjuntak. "Solving Linear Program with Simplex Method through App Calculator Simplex." Indonesian Journal of Multidisciplinary Science 1, no. 4 (2022): 420–27. http://dx.doi.org/10.55324/ijoms.v1i4.80.

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Since the simplex approach takes so long to work, many students make mistakes or are just not as cautious as they should be, there is a learning material to help them overcome this. The objectives of this article are to accomplish the work of engineering ideas in Linear Program courses, gain insight into the development of learning media in the Linear Program, and be able to run digital media. This study was conducted in several ways, including using a line of inquiry, the graph technique, the simplex method, and Geogebra. The results reveal that the simplex calculator is uncomplicated to use

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19

Chen, Ta-Tau. "ADAPTIVE SLIDING-MODE CONTROL: SIMPLEX-TYPE METHOD." Transactions of the Canadian Society for Mechanical Engineering 39, no. 3 (2015): 367–77. http://dx.doi.org/10.1139/tcsme-2015-0027.

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The simplex method is easy and brief for designing the sliding mode, but it also has some disadvantages. Since the control vectors are constant, the chattering phenomenon also occurs when switching control takes place in simplex-type SMC scheme. Hence, we make few modifications to the simplex method that form an irregular simplex such that it improves the choice of simplex control vector and chattering phenomenon. The irregular simplex is obtained by an adaptive control law. The stabilization of a nonlinear multi-input system by using adaptive control based on simplex-type sliding-mode control

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20

Arturo, González Torres, García Araiza Oscar S, and García González Juan M. "Improvement in the process of Production Planning Applying the Simplex Method." International Journal of Trend in Scientific Research and Development Special Issue, Specia Issue ICE (2017): P1—P9. http://dx.doi.org/10.31142/ijtsrd5820.

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21

Vershigora, R. V. "Empirical column selection method in the simplex method." Cybernetics and Systems Analysis 31, no. 4 (1995): 637–40. http://dx.doi.org/10.1007/bf02366420.

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22

Bompadre, Agustín, and James B. Orlin. "A simple method for improving the primal simplex method for the multicommodity flow problem." Networks 51, no. 1 (2007): 63–77. http://dx.doi.org/10.1002/net.20196.

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23

Devlin, J. F. "A Simple and Powerful Method of Parameter Estimation Using Simplex Optimization." Ground Water 32, no. 2 (1994): 323–27. http://dx.doi.org/10.1111/j.1745-6584.1994.tb00647.x.

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24

Dornier, M., B. Heyd, and M. Danzart. "Evaluation of the Simplex method for training simple multilayer neural networks." Neural Computing & Applications 7, no. 2 (1998): 107–14. http://dx.doi.org/10.1007/bf01414162.

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25

Van Doormaal, J. P., G. D. Raithby, and B. H. McDonald. "The Segregated Approach to Predicting Viscous Compressible Fluid Flows." Journal of Turbomachinery 109, no. 2 (1987): 268–77. http://dx.doi.org/10.1115/1.3262097.

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The SIMPLE method of Patankar and Spalding and its variants such as SIMPLER, SIMPLEC, and SIMPLEX are segregated methods for solving the discrete algebraic equations representing the equations of motion for an incompressible fluid flow. The present paper presents the extension of these methods to the solution of compressible fluid flows within the context of generalized segregated approach. To provide a framework for better understanding the segregated approach to solving viscous compressible fluid flows an interpretation of the role of pressure in the numerical method is presented. With this

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26

Baker, G. B., and T. M. Mills. "Demonstrating the Nelder‐Mead simplex method." International Journal of Mathematical Education in Science and Technology 18, no. 3 (1987): 439–40. http://dx.doi.org/10.1080/0020739870180313.

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27

Luo, Ya-Zhong, and Guo-Jin Tang. "Parallel Simulated Annealing Using Simplex Method." AIAA Journal 44, no. 12 (2006): 3143–46. http://dx.doi.org/10.2514/1.16778.

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28

Eiselt, H. A., and C. L. Sandblom. "Price probing in the simplex method." Computers & Industrial Engineering 37, no. 1-2 (1999): 489–92. http://dx.doi.org/10.1016/s0360-8352(99)00125-4.

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29

Best, M. J., and R. J. Caron. "The simplex method and unrestricted variables." Journal of Optimization Theory and Applications 45, no. 1 (1985): 33–39. http://dx.doi.org/10.1007/bf00940811.

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30

Matsumoto, J., and L. W. Mays. "Dual simplex method for GUB problems." Journal of Optimization Theory and Applications 45, no. 1 (1985): 113–22. http://dx.doi.org/10.1007/bf00940817.

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31

Huangfu, Q., and J. A. J. Hall. "Parallelizing the dual revised simplex method." Mathematical Programming Computation 10, no. 1 (2017): 119–42. http://dx.doi.org/10.1007/s12532-017-0130-5.

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32

Helgason, R. V., J. L. Kennington, and H. A. Zaki. "A parallelization of the simplex method." Annals of Operations Research 14, no. 1 (1988): 17–40. http://dx.doi.org/10.1007/bf02186472.

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33

Koshel, R. John. "Simplex optimization method for illumination design." Optics Letters 30, no. 6 (2005): 649. http://dx.doi.org/10.1364/ol.30.000649.

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34

Shim, Sangho, Ellis L. Johnson, and Wenwei Cao. "Primal-dual simplex method for shooting." Electronic Notes in Discrete Mathematics 36 (August 2010): 719–26. http://dx.doi.org/10.1016/j.endm.2010.05.091.

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35

Morgan, Edward, Kenneth W. Burton, and Graham Nickless. "Optimization using the modified simplex method." Chemometrics and Intelligent Laboratory Systems 7, no. 3 (1990): 209–22. http://dx.doi.org/10.1016/0169-7439(90)80112-j.

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36

Sideri, Enrico A. "The simplex method, a probabilistic analysis." European Journal of Operational Research 43, no. 2 (1989): 239–40. http://dx.doi.org/10.1016/0377-2217(89)90219-1.

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37

Shkolnyk, Inna, Yuriy Ladyka, Volodymyr Orlov, Khaled Aldiwani, and Yevhenii Kozmenko. "Balancing state budget expenditures: A case of Ukraine using the simplex method." Public and Municipal Finance 10, no. 1 (2021): 34–46. http://dx.doi.org/10.21511/pmf.10(1).2021.04.

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The consolidated state budget expenditures reflect the condition of performance by a country of its basic functions and allow defining priority directions for the implementation of state policy. Their optimal ratio allows satisfying the interests of citizens, business and society as a whole, and can provide a significant impetus for economic growth. The analysis of state budget expenditures using the example of Ukraine showed that their structure is unbalanced. Therefore, the purpose of the study was to find the necessary balance. The optimization of Ukraine’s state budget expenditures was car

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38

Hasegawa, Hiroki, and Yoshiharu Nakamura. "An Application of Simplex Algorithm to Electron Swarm Method." IEEJ Transactions on Fundamentals and Materials 121, no. 5 (2001): 487–92. http://dx.doi.org/10.1541/ieejfms1990.121.5_487.

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39

CHEN, X. H., and J. Z. H. ZHANG. "MFCC-DOWNHILL SIMPLEX METHOD FOR MOLECULAR STRUCTURE OPTIMIZATION." Journal of Theoretical and Computational Chemistry 03, no. 03 (2004): 277–89. http://dx.doi.org/10.1142/s0219633604001045.

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In this paper, a MFCC-downhill simplex method is proposed to study binding structures of small molecules or ions in large molecular complex systems. This method employs the Molecular Fractionation with Conjugated Caps (MFCC) approach in computing inter-molecular energy and implements the downhill simplex algorithm for structural optimization. The method is numerically tested on a system of [KCp(18-crown-6)] to optimize the position of the potassium cation in a fixed coordination sphere. The result of MFCC-downhill simplex optimization method shows good agreement with both the crystal structure

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40

Poonam, Kumari. "A Modification of Quadratic Programming Algorithm." International Journal of Innovative Technology and Exploring Engineering (IJITEE) 10, no. 1 (2020): 167–76. https://doi.org/10.35940/ijitee.A8144.1110120.

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In the existing methods for solving Quadratic Programming Problems having linearly factorized objective function and linear constraints, all the linear factors of the objective function are supposed to be positive for all feasible solutions. Here, a modification of the existing methods is proposed and it has been proved that the modified method can be applied to find the optimal solution of the problem even if all the linear factors of the objective function are not necessarily positive for all feasible solutions. Moreover, the proposed method can be applied to find the optimal solution of the

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41

Firmansyah, Firmansyah, Dedy Juliandri Panjaitan, Madyunus Salayan, and Alistraja Dison Silalahi. "OPTIMIZATION OF PRODUCTION COSTS WITH SIMPLEX METHOD." Journal of Community Research and Service 4, no. 2 (2020): 66. http://dx.doi.org/10.24114/jcrs.v4i2.15277.

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One of the problems in the company is my resource limitation, the time of production and the tools used in the production process. Companies in making decisions in production planning in the presence of these limitations, should seek to maximize the profit generated. However, in the production process a production planning reference is required to maximize the results obtained and minimize the production costs used. To solve the problem, needed a problem solving tool that is linear program using simplex method. Simplex method is one of the methods of linear program in solving the problem of mo

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42

Gašincová, Silvia, and Juraj Gašinec. "Comparison of the Method of Least Squares and the Simplex Method for Processing Geodetic Survey Results / Porovnanie Metódy Najmenších Štvorcov A Simplexovej Metódy Pri Spracovaní Výsledkov Geodetických Meran." GeoScience Engineering 59, no. 3 (2013): 21–36. http://dx.doi.org/10.2478/gse-2014-0055.

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Abstract The present paper is devoted to the use of the simplex method in the processing of results from geodetic measurements as compared with the standard used method of least squares. Using the simplex method, a minimization problem is usually solved in a standard tabular form by rearranging lines and columns in order to find an optimal solution. The paper points out the simpler, more stable and more efficient way to solve a problem of linear programming through a matrix of relations.

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43

Rorim, Panday, and Anggaina Mira. "Profit Optimization and Production of Maesa Cake and Bakery Shops with Linear Programming-Simplex Method." International Journal of Current Science Research and Review 06, no. 01 (2023): 499–506. https://doi.org/10.5281/zenodo.7561810.

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<strong>ABSTRACT: </strong>The need for cake as a complementary food at various events causes the demand to increase. This increase has an impact on the production level that will be produced with the aim of increasing profits. The production process is related to the allocation of the right raw materials to be efficient, so that maximum profits will be obtained. This study aims to analyze the maximum profit of the Maesa Cake and Bakery Shop, Permata Legenda Branch. There are two types of products sold in this shop, namely Banana Bolu (X1) and Banana Bolen (X2). The research method used is lin

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44

Khalil, Jamous. "Faculty Workload Optimization: A Simplex Method Approach." Journal of Emerging Technologies and Innovative Research 11, no. 12 (2024): c7—c13. https://doi.org/10.5281/zenodo.14435446.

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Optimizing faculty workload in higher education institutions is essential for enhancing faculty satisfaction, student learning, and institutional productivity. Traditional workload management approaches tend to simplify the realities of academic work, creating distortions that undermine the quality of the academic system. In this paper, we present the simplex method, a linear programming technique that can be used as a sophisticated technological solution for optimizing faculty workload. Using a comprehensive mathematical model and a Python code outline, we demonstrate the effective use of the

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45

Abdulrahim, Basiya K. "Solving Quadratic Fractional Programming Problem via Feasible Direction Development and Modified Simplex Method." Journal of Zankoy Sulaimani - Part A 15, no. 2 (2013): 45–52. http://dx.doi.org/10.17656/jzs.10245.

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46

Et. al., Chandrasekhar Putcha,. "A Comprehensive Method for Arriving at Initial Feasible Solution for Optimization Problems in Engineering with Illustrative Examples." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 5 (2021): 1189–205. http://dx.doi.org/10.17762/turcomat.v12i5.1785.

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Two methods have been used extensively for arriving at initial basic feasible solution (IBF). One of them is Northwest corner rule and the other on is Russell method (Hillier & Lieberman, 2005.) Both methods have drawbacks. The IBF obtained is either far from optimal solution or does not have adequate number of entries to initiate transportation simplex algorithm. The Northwest Corner rule gives an initial feasible solution that is far from optimal while the IBF solution obtained using Russell method doesn’t give enough number of entries to start the transportation simplex algorithm. Hence

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47

Vujosevic-Janicic, Milena, Filip Maric, and Dusan Tosic. "Using simplex method in verifying software safety." Yugoslav Journal of Operations Research 19, no. 1 (2009): 133–48. http://dx.doi.org/10.2298/yjor0901133v.

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In this paper we have discussed the application of the Simplex method in checking software safety - the application in automated detection of buffer overflows in C programs. This problem is important because buffer overflows are suitable targets for hackers' security attacks and sources of serious program misbehavior. We have also described our implementation, including a system for generating software correctness conditions and a Simplex based theorem prover that resolves these conditions.

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48

Tamura, Akihisa, Hitoshi Takehara, Komei Fukuda, Satoru Fujishige, and Masakazu Kojima. "A DUAL INTERIOR PRIMAL SIMPLEX METHOD FOR LINEAR PROGRAMMING METHOD." Journal of the Operations Research Society of Japan 31, no. 3 (1988): 413–30. http://dx.doi.org/10.15807/jorsj.31.413.

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49

Selvam, Manjula, M. Ramachandran, and Vimala Saravanan. "Nelder–Mead Simplex Search Method - A Study." Data Analytics and Artificial Intelligence 2, no. 2 (2022): 117–22. http://dx.doi.org/10.46632/daai/2/2/7.

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Nelder-Mead in n dimensions facilitates the set of n + 1 test points. It finds a new test point, Makes one of the old test points new, and so the technique progresses into objective behavior process is measured at each test point. The Nelder-Mead Simplex system uses Simplex to find the minimum space. The algorithm operates using a design framework with n + 1 points (called simplex), Where n is for simplex based operation Number of input dimensions. The Nelder-Mead method is one of the most popular non-derivative methods, using only the values of f to search. Only in the simplex formation of n

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50

An, Kwang-Ok, Chang-Hwan Im, and Hyun-Kyo Jung. "Magnetoencephalography source localization using improved simplex method." Inverse Problems in Science and Engineering 16, no. 4 (2008): 499–510. http://dx.doi.org/10.1080/17415970701661412.

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