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* ID :  [https://www.wikidata.org/wiki/Q202843 Q202843]
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* [{'LOWER': 'linear'}, {'LEMMA': 'programming'}]
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* [{'LEMMA': 'LP'}]
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* [{'LOWER': 'linear'}, {'LEMMA': 'optimization'}]

2021년 2월 17일 (수) 00:56 기준 최신판

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  1. Linear programming, mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints.[1]
  2. During World War II, linear programming was used extensively to deal with transportation, scheduling, and allocation of resources subject to certain restrictions such as costs and availability.[1]
  3. Linear programming is the process of taking various linear inequalities relating to some situation, and finding the "best" value obtainable under those conditions.[2]
  4. In "real life", linear programming is part of a very important area of mathematics called "optimization techniques".[2]
  5. Linear programming (LP) is one of the simplest ways to perform optimization.[3]
  6. For some reason, LP doesn’t get as much attention as it deserves while learning data science.[3]
  7. I decided to write an article that explains Linear programming in simple English.[3]
  8. Linear programming is a simple technique where we depict complex relationships through linear functions and then find the optimum points.[3]
  9. Linear programming can be applied to various fields of study.[4]
  10. Industries that use linear programming models include transportation, energy, telecommunications, and manufacturing.[4]
  11. Linear programming is a widely used field of optimization for several reasons.[4]
  12. A number of algorithms for other types of optimization problems work by solving LP problems as sub-problems.[4]
  13. Linear programming techniques are common approaches to solve optimization problems that can be expressed in the standard form given by Eq.[5]
  14. However, any other mixed integer linear programming solver also can be used.[5]
  15. Based on the selected literature (52 papers), LP can be applied to a variety of diet problems, from food aid, national food programmes, and dietary guidelines to individual issues.[6]
  16. Future possibilities lie in finding LP solutions for diets by combining nutritional, costs, ecological and acceptability constraints.[6]
  17. This paper reviews the application of linear programming to optimize diets with nutritional, economic, and environmental constraints.[6]
  18. These results led to upper bounds being added to LP for the first time (10).[6]
  19. The first step in any linear programming problem is to define the variables and the objective function.[7]
  20. Linear programming (LP) is a powerful framework for describing and solving optimization problems.[8]
  21. The set of applications of linear programming is literally too long to list.[8]
  22. The first algorithm for solving linear programming problems was the simplex method, proposed by George Dantzig in 1947.[8]
  23. However, the sheer variety of different LP models, and the many different ways in which LP is used, mean that neither algorithm dominates the other in practice.[8]
  24. There were three models produced by linear programming.[9]
  25. Table 2 shows all nutrients constrains and the food groups of the three different models produced by LP based on the dietary guidelines of WCRF/AICR 2007, MDG 2010 and RNI 2017.[9]
  26. Table 3 shows the three menus produced, according to raw food items at the lowest possible cost based on WCRF/AICR, MDG, RNI and palatability constraints by using LP.[9]
  27. The production of every menu is different from another as it follows the list of food ingredients selected according to the LP models.[9]
  28. A linear programming problem involves constraints that contain inequalities.[10]
  29. The objective function along with the three corner points above forms a bounded linear programming problem.[10]
  30. If this is the case, then you have a bounded linear programming problem.[10]
  31. If a solution exists to a bounded linear programming problem, then it occurs at one of the corner points.[10]
  32. Linear programming is a form of mathematical optimisation that seeks to determine the best way of using limited resources to achieve a given objective.[11]
  33. Before we continue, it's important to note that this article is not intended to be an exhaustive course in linear programming.[11]
  34. This example provides one setting where linear programming can be applied.[11]
  35. A short explanation is given what Linear programming is and some basic knowledge you need to know.[12]
  36. So a linear programming model consists of one objective which is a linear equation that must be maximized or minimized.[12]
  37. It is the usual and most intuitive form of describing a linear programming problem.[12]
  38. See Formulation of an lp problem in lpsolve for a practical example.[12]
  39. If you think about the geometry in the above graph, in any linear optimization problem at least one vertex of the feasible region must be an optimal solution.[13]
  40. Linear programming is a mathematical technique that determines the best way to use available resources.[14]
  41. Note: You can use linear programming only if there is a linear relationship between the variables you're looking at.[14]
  42. To help you understand linear programming, we'll work through an example.[14]
  43. Linear programming software programs can solve the equations quickly and easily, and they provide a great deal of information about the various points within the possible set.[14]
  44. This paper studies the problem of tangible assets acquisition within the company by proposing a new hybrid model that uses linear programming and fuzzy numbers.[15]
  45. Regarding linear programming, two methods were implemented in the model, namely: the graphical method and the primal simplex algorithm.[15]
  46. Solving the primal simplex algorithm using fuzzy numbers and coefficients, allowed the results of the linear programming problem to also be in the form of fuzzy variables.[15]
  47. Linear programming, sometimes known as linear optimization, is the problem of maximizing or minimizing a linear function over a convex polyhedron specified by linear and non-negativity constraints.[16]
  48. Linear programming theory falls within convex optimization theory and is also considered to be an important part of operations research.[16]
  49. Linear programming can be solved using the simplex method (Wood and Dantzig 1949, Dantzig 1949) which runs along polytope edges of the visualization solid to find the best answer.[16]
  50. Linear programming has proven to be an extremely powerful tool, both in modeling real-world problems and as a widely applicable mathematical theory.[17]
  51. Linear Programming (LP) is a mathematical procedure for determining optimal allocation of scarce resources.[17]
  52. LP is a procedure that has found practical application in almost all facets of business, from advertising to production planning.[17]
  53. Linear programming deals with a class of programming problems where both the objective function to be optimized is linear and all relations among the variables corresponding to resources are linear.[17]
  54. Linear programming (LP) is one of the most widely-applied techniques in operations research.[18]
  55. Many methods have been developed and several others are being proposed for solving LP problems, including the famous simplex method and interior point algorithms.[18]
  56. This study was aimed at introducing a new method for solving LP problems.[18]
  57. Linear programming (LP) dates from 1939 when Leonid Kan-tarovich first expressed a problem in economics in linear form (Bazaraa et al., 1998).[18]
  58. As was stated earlier, a linear programming problem that has minimum constraints does not work with the simplex algorithm.[19]
  59. This method is viable for any linear programming problem that does not match the forms of the previous section .[19]
  60. All linear programming problems aim to either maximize or minimize some numerical value representing profit, cost, production quantity, etc.[20]
  61. A feasible solution to the linear programming problem should satisfy the constraints and non-negativity restrictions.[20]
  62. In Mathematics, linear programming is a method of optimising operations with some constraints.[21]
  63. The main objective of linear programming is to maximize or minimize the numerical value.[21]
  64. Linear programming is considered as an important technique which is used to find the optimum resource utilisation.[21]
  65. The term “linear programming” consists of two words such as linear and programming.[21]
  66. To obtain the initial feasible vertex, one can set up another LP problem (called the phase I problem) to which there is always a known feasible vertex, and apply the simplex method to that problem.[22]
  67. Within a few years of its introduction, LP had become a central—perhaps the central—paradigm of operations research.[22]
  68. The Linear Programming FAQ, established by John W. Gregory and maintained for many years by Robert Fourer, was last updated in 2005.[23]
  69. Since the LP FAQ is no longer maintained, the content has been incorporated into the relevant sections of the NEOS Optimization Guide.[23]
  70. The importance of linear programming derives in part from its many applications (see further below) and in part from the existence of good general-purpose techniques for finding optimal solutions.[24]
  71. These techniques take as input only an LP in the above Standard Form, and determine a solution without reference to any information concerning the LP's origins or special structure.[24]
  72. The related problem of integer programming (or integer linear programming, strictly speaking) requires some or all of the variables to take integer (whole number) values.[24]
  73. Industries that make use of LP and its extensions include transportation, energy, telecommunications, and manufacturing of many kinds.[24]
  74. This problem involves the allocation of resources and can be modeled as a linear programming problem as we will discuss.[25]
  75. To model and solve this problem, we can use linear programming.[25]
  76. Modern linear programming was the result of a research project undertaken by the US Department of Air Force under the title of Project SCOOP (Scientific Computation of Optimum Programs).[25]
  77. One of the SCOOP team members, George Dantzig, developed the simplex algorithm for solving simultaneous linear programming problems.[25]
  78. In Section 4, the problem is formulated as a mixed integer linear programming model.[26]
  79. However, even though the proposed model is a MILP model, it can be further transformed into a pure 0-1 linear programming model.[26]

소스

  1. 1.0 1.1 linear programming | Definition & Facts
  2. 2.0 2.1 Linear Programming: Introduction
  3. 3.0 3.1 3.2 3.3 Applications Of Linear Programming
  4. 4.0 4.1 4.2 4.3 Linear programming
  5. 5.0 5.1 Linear Programming - an overview
  6. 6.0 6.1 6.2 6.3 A Review of the Use of Linear Programming to Optimize Diets, Nutritiously, Economically and Environmentally
  7. F5 Performance Management
  8. 8.0 8.1 8.2 8.3 Linear Programming (LP)
  9. 9.0 9.1 9.2 9.3 Diet optimization using linear programming to develop low cost cancer prevention food plan for selected adults in Kuala Lumpur, Malaysia
  10. 10.0 10.1 10.2 10.3 3.2a. Solving Linear Programming Problems Graphically
  11. 11.0 11.1 11.2 Solve problems with linear programming and Excel
  12. 12.0 12.1 12.2 12.3 Linear programming basics
  13. The Glop Linear Solver
  14. 14.0 14.1 14.2 14.3 Decision-Making Skills Training from MindTools.com
  15. 15.0 15.1 15.2 Linear Programming and Fuzzy Optimization to Substantiate Investment Decisions in Tangible Assets
  16. 16.0 16.1 16.2 Linear Programming -- from Wolfram MathWorld
  17. 17.0 17.1 17.2 17.3 Linear Optimization
  18. 18.0 18.1 18.2 18.3 A new algorithm for solving linear programming problems
  19. 19.0 19.1 Brilliant Math & Science Wiki
  20. 20.0 20.1 Elements of a Linear Programming Problem (LPP)
  21. 21.0 21.1 21.2 21.3 Linear Programming (Definition, Characteristics, Method & Example)
  22. 22.0 22.1 9 Probabilistic Analysis in Linear Programming
  23. 23.0 23.1 Linear Programming FAQ
  24. 24.0 24.1 24.2 24.3 Linear Programming FAQ
  25. 25.0 25.1 25.2 25.3 Modeling and Linear Programming in Engineering Management
  26. 26.0 26.1 A Mixed Integer Linear Programming Model for Rolling Stock Deadhead Routing before the Operation Period in an Urban Rail Transit Line

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  • [{'LOWER': 'linear'}, {'LEMMA': 'programming'}]
  • [{'LEMMA': 'LP'}]
  • [{'LOWER': 'linear'}, {'LEMMA': 'optimization'}]