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Artykuły w czasopismach na temat „Mathematical programming”

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Autor: Grafiati

Data publikacji: 4 czerwca 2021

Data aktualizacji: 7 lipca 2024

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1

Vasileva, Natalia, Vladimir Grigorev-Golubev i Irina Evgrafova. "Mathematical programming in Mathcad and Mathematica". E3S Web of Conferences 419 (2023): 02007. http://dx.doi.org/10.1051/e3sconf/202341902007.

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An article generalizes the long-term work of authors with packages of applied mathematical programs. It discusses and demonstrates the features and methods of solution of mathematical tasks in mathematical package Mathcad and Mathematica: from the simplest ones, included in the set of typical problems of mathematical disciplines for training specialists for shipbuilding, to complex computational tasks and applied problems of professional orientation, which require the construction of a mathematical model and analysis of the results obtained. The examples show the solution of mathematical problems in symbolic form, mathematical studies in the Mathcad and Mathematica environment, and mathematical programming with these packages.

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2

Elphick, Clive, R. W. Cottle, M. L. Kelmanson i B. Korte. "Mathematical Programming." Journal of the Operational Research Society 36, nr 4 (kwiecień 1985): 342. http://dx.doi.org/10.2307/2582424.

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3

Elphick, Clive. "Mathematical Programming". Journal of the Operational Research Society 36, nr 4 (kwiecień 1985): 342. http://dx.doi.org/10.1057/jors.1985.59.

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4

Wilson, J. M., K. L. Hoffman, R. H. F. Jackson i J. Telgen. "Computational Mathematical Programming". Journal of the Operational Research Society 39, nr 8 (sierpień 1988): 792. http://dx.doi.org/10.2307/2583777.

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5

Howitt, Richard E. "Positive Mathematical Programming". American Journal of Agricultural Economics 77, nr 2 (maj 1995): 329–42. http://dx.doi.org/10.2307/1243543.

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6

Wilson, J. M. "Computational Mathematical Programming". Journal of the Operational Research Society 39, nr 8 (sierpień 1988): 792. http://dx.doi.org/10.1057/jors.1988.137.

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7

Wasserman, A. L., i R. H. Eckhouse. "Mathematical-oriented programming". Computer 21, nr 6 (czerwiec 1988): 89–95. http://dx.doi.org/10.1109/2.954.

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8

Oley, L. A. "Mathematical programming techniques". European Journal of Operational Research 21, nr 1 (lipiec 1985): 139–40. http://dx.doi.org/10.1016/0377-2217(85)90098-0.

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9

Sachs, E. "Computational mathematical programming". European Journal of Operational Research 39, nr 2 (marzec 1989): 227–28. http://dx.doi.org/10.1016/0377-2217(89)90199-9.

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10

Сальков i Nikolay Sal'kov. "Graph-analytic Solution of Some Special Problems of Quadratic Programming". Geometry & Graphics 2, nr 1 (3.03.2014): 3–8. http://dx.doi.org/10.12737/3842.

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Quadratic programming problems are one of special cases of mathematical programming problems. Mathematical programming problems solution is of great importance, because these problems are those of optimizing of solution related to presented issues from multitude of possible ones. The mathematical programming problems are linear, nonlinear, dynamic and others. It is suggested to consider a graph-analytic solution of quadratic programming’s special problems, which, taken together, constitute the quadratic programming problems for two and three variables. A total of eight special problems have been considered.

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11

Weal, Steve, J. K. Lenstra, A. H. G. Rinnooy Kan i A. Schrijver. "History of Mathematical Programming". Journal of the Operational Research Society 43, nr 9 (wrzesień 1992): 921. http://dx.doi.org/10.2307/2583294.

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12

Henderson, Peter B., i Allan M. Stavely. "Programming and mathematical thinking". ACM Inroads 5, nr 1 (marzec 2014): 35–36. http://dx.doi.org/10.1145/2568195.2568207.

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13

Weal, Steve. "History of Mathematical Programming". Journal of the Operational Research Society 43, nr 9 (grudzień 1993): 921. http://dx.doi.org/10.1057/jors.1992.132.

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14

Mor, Yishay, i Richard Noss. "Programming as mathematical narrative". International Journal of Continuing Engineering Education and Life-Long Learning 18, nr 2 (2008): 214. http://dx.doi.org/10.1504/ijceell.2008.017377.

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15

Pshenichnyi, B. N., i E. I. Nenakhov. "Matrix mathematical programming problems". Cybernetics and Systems Analysis 32, nr 2 (marzec 1996): 255–64. http://dx.doi.org/10.1007/bf02366539.

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16

Cornet, B., V. H. Nguyen i J. P. Vial. "Mathematical programming study 30". Mathematical Programming 41, nr 1-3 (maj 1988): 119–21. http://dx.doi.org/10.1007/bf01580757.

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17

Hoffman, K. L., R. H. F. Jackson i J. Telgen. "Mathematical programming study 31". Mathematical Programming 41, nr 1-3 (maj 1988): 395–98. http://dx.doi.org/10.1007/bf01580778.

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18

Stohr, Edward A. "A mathematical programming generator". ACM SIGAPL APL Quote Quad 20, nr 1 (wrzesień 1989): 6–14. http://dx.doi.org/10.1145/379199.379202.

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19

Liberti, Leo, Stéphane Le Roux, Jeremy Leconte i Fabrizio Marinelli. "Mathematical programming based debugging". Electronic Notes in Discrete Mathematics 36 (sierpień 2010): 1311–18. http://dx.doi.org/10.1016/j.endm.2010.05.166.

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20

Fiacco, Anthony V. "Mathematical programming study 21". Mathematical Programming 31, nr 1 (styczeń 1985): 118–21. http://dx.doi.org/10.1007/bf02591865.

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21

INUIGUCHI, Masahiro. "Stochastic Programming Problems versus Fuzzy Mathematical Programming Problems". Journal of Japan Society for Fuzzy Theory and Systems 4, nr 1 (1992): 21–30. http://dx.doi.org/10.3156/jfuzzy.4.1_21.

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22

Janosikova, Ludmila, i Tomas Hreben. "Mathematical Programming vs. Constraint Programming for Scheduling Problems". Communications - Scientific letters of the University of Zilina 15, nr 1 (31.03.2013): 39–43. http://dx.doi.org/10.26552/com.c.2013.1.39-43.

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23

Rowlett, Peter. "Programming as a mathematical activity". MSOR Connections 18, nr 2 (9.07.2020): 13–17. http://dx.doi.org/10.21100/msor.v18i2.1064.

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Programming in undergraduate mathematics is an opportunity to develop various mathematical skills. This paper outlines some topics covered in a second year, optional module ‘Programming with Mathematical Applications’ that develop mathematical thinking and involve mathematical activities, showing that practical programming can be taught to mathematicians as a mathematical skill.

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24

Appa, Gautam, i H. P. Williams. "Model Solving in Mathematical Programming." Journal of the Royal Statistical Society. Series A (Statistics in Society) 158, nr 1 (1995): 202. http://dx.doi.org/10.2307/2983434.

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25

Smith, David K., Michel Minoux i Steven Vajda. "Mathematical Programming: Theory and Algorithms." Journal of the Operational Research Society 38, nr 7 (lipiec 1987): 666. http://dx.doi.org/10.2307/2582404.

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26

Paschentis, Spiros N., B. Korte i K. Ritter. "Mathematical Programming at Oberwolfach II." Journal of the Operational Research Society 37, nr 1 (styczeń 1986): 100. http://dx.doi.org/10.2307/2582553.

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27

Earnshaw, Stephanie R., i Susan L. Dennett. "Integer/Linear Mathematical Programming Models". PharmacoEconomics 21, nr 12 (2003): 839–51. http://dx.doi.org/10.2165/00019053-200321120-00001.

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28

Prichard, Mary Kim. "Mathematical Iteration through Computer Programming". Mathematics Teacher 86, nr 2 (luty 1993): 150–56. http://dx.doi.org/10.5951/mt.86.2.0150.

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Mathematical iteration is a process for generating a sequence in which one or more initial terms are given and each subsequent term is determined from its predecessors in the same way. An equation that describes the relationship between a term and its predecessors is called a recurrence relation. Arithmetic and geometric sequences, common topics in high school algebra courses, are examples of iterative processes. Arithmetic sequences are generated iteratively from an initial term, a1, a common difference, d, and a recurrence relation, an+1, = an+ d. Geometric sequences are generated from an initial term, a1 a common ratio, r, and a recurrence relation, an+1 =an •r. Mathematical iteration is used in many other mathematical situations and algorithms, such as the Fibonacci sequence, the Euclidean algorithm, and Newton's method for solving equations.

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29

Maaty, M. Abdel Aaty. "A Fuzzy Multilevel Mathematical Programming". ERJ. Engineering Research Journal 24, nr 2 (1.04.2001): 85–96. http://dx.doi.org/10.21608/erjm.2001.71015.

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30

Wilson, John, i H. P. Williams. "Model Solving in Mathematical Programming." Journal of the Operational Research Society 45, nr 3 (marzec 1994): 360. http://dx.doi.org/10.2307/2584171.

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31

Zwirner, Walter W. "Mathematical Programming in Statistical Analysis". Calcutta Statistical Association Bulletin 44, nr 3-4 (wrzesień 1994): 229–38. http://dx.doi.org/10.1177/0008068319940310.

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32

Eglese, R., J. Kallrath i J. M. Wilson. "Business Optimisation: Using Mathematical Programming." Journal of the Operational Research Society 49, nr 5 (maj 1998): 559. http://dx.doi.org/10.2307/3009895.

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33

Smith, D. K., M. Avriel i B. Golany. "Mathematical Programming for Industrial Engineers." Journal of the Operational Research Society 48, nr 3 (marzec 1997): 334. http://dx.doi.org/10.2307/3010436.

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34

Scarf, Herbert E. "Mathematical Programming and Economic Theory". Operations Research 38, nr 3 (czerwiec 1990): 377–85. http://dx.doi.org/10.1287/opre.38.3.377.

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35

Prather, Ronald E. "A modular mathematical programming language". ACM SIGPLAN Notices 33, nr 3 (marzec 1998): 38–56. http://dx.doi.org/10.1145/275168.275172.

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36

MUNRO, JOHN. "PLASTIC ANALYSIS BY MATHEMATICAL PROGRAMMING". Civil Engineering Systems 13, nr 2 (kwiecień 1996): 93–120. http://dx.doi.org/10.1080/02630259608970190.

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37

MUNRO, J. "Plastic Analysis by Mathematical Programming". Civil Engineering Systems 13, nr 3 (czerwiec 1996): i—ii. http://dx.doi.org/10.1080/02630259608970202.

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38

Flåm, S. D. "Option pricing by mathematical programming†". Optimization 57, nr 1 (luty 2008): 165–82. http://dx.doi.org/10.1080/02331930701779054.

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39

Osman, M. S., E. F. Lashein, E. A. Youness i T. E. M. Atteya. "Mathematical programming in rough environment". Optimization 60, nr 5 (maj 2011): 603–11. http://dx.doi.org/10.1080/02331930903536393.

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40

Al‐Sultan, Khaled S., i Salih O. Duffuaa. "Maintenance control via mathematical programming". Journal of Quality in Maintenance Engineering 1, nr 3 (wrzesień 1995): 36–46. http://dx.doi.org/10.1108/13552519510096341.

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41

Paschentis, Spiros N. "Mathematical Programming at Oberwolfach II". Journal of the Operational Research Society 37, nr 1 (styczeń 1986): 100–101. http://dx.doi.org/10.1057/jors.1986.14.

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42

Smith, David K. "Mathematical Programming: Theory and Algorithms". Journal of the Operational Research Society 38, nr 7 (lipiec 1987): 666. http://dx.doi.org/10.1057/jors.1987.110.

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43

Wilson, John. "Model Solving in Mathematical Programming". Journal of the Operational Research Society 45, nr 3 (marzec 1994): 360. http://dx.doi.org/10.1057/jors.1994.50.

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44

Ferris, Michael, Kenneth Judd i Berc Rustem. "Special issue on Mathematical Programming". Journal of Economic Dynamics and Control 28, nr 7 (kwiecień 2004): 1227. http://dx.doi.org/10.1016/s0165-1889(03)00107-6.

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45

Ball, Michael O. "Heuristics based on mathematical programming". Surveys in Operations Research and Management Science 16, nr 1 (styczeń 2011): 21–38. http://dx.doi.org/10.1016/j.sorms.2010.07.001.

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46

SIMONS, R. V. "Mathematical Programming Modelling Using MGG". IMA Journal of Management Mathematics 1, nr 4 (1986): 267–76. http://dx.doi.org/10.1093/imaman/1.4.267.

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47

Jeyakumar, V., i B. Mond. "On generalised convex mathematical programming". Journal of the Australian Mathematical Society. Series B. Applied Mathematics 34, nr 1 (lipiec 1992): 43–53. http://dx.doi.org/10.1017/s0334270000007372.

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AbstractThe sufficient optimality conditions and duality results have recently been given for the following generalised convex programming problem:where the funtion f and g satisfyfor some η: X0 × X0 → ℝnIt is shown here that a relaxation defining the above generalised convexity leads to a new class of multi-objective problems which preserves the sufficient optimality and duality results in the scalar case, and avoids the major difficulty of verifying that the inequality holds for the same function η(. , .). Further, this relaxation allows one to treat certain nonlinear multi-objective fractional programming problems and some other classes of nonlinear (composite) problems as special cases.

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48

Jansen, B. "Mathematical programming for industrial engineers". European Journal of Operational Research 97, nr 3 (marzec 1997): 610. http://dx.doi.org/10.1016/s0377-2217(97)83335-8.

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49

Lev, Ben. "Applications of mathematical programming models". European Journal of Operational Research 160, nr 1 (styczeń 2005): 1–2. http://dx.doi.org/10.1016/j.ejor.2003.06.016.

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50

Conejo, Antonio J., i Francisco J. Prieto. "Mathematical programming and electricity markets". Top 9, nr 1 (czerwiec 2001): 1–22. http://dx.doi.org/10.1007/bf02579062.

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