1. Linear Programming - Wikipedia, The Free Encyclopedia programming callable library for Windows (free trial and academic license available). Retrieved from http//en.wikipedia.org/wiki/linear_programming http://en.wikipedia.org/wiki/Linear_programming

Linear programming From Wikipedia, the free encyclopedia Jump to: navigation search In mathematics linear programming (LP) problems involve the optimization of a linear objective function , subject to linear equality and inequality constraints Put very informally, LP problems determine the way to achieve the best outcome (such as maximum profit or lowest cost) given some list of requirements represented as linear equation. More formally, given a polytope (for example, a polygon or a polyhedron ), and a real -valued affine function defined on this polytope, the goal is to find a point in the polytope where this function has the smallest (or largest) value. Such points may not exist, but if they do, searching through the polytope vertices is guaranteed to find at least one of them. Linear programs are problems that can be expressed in canonical form: Maximize Subject to Where represents the vector of variables, while and are vectors of coefficients and is a matrix of coefficients. The expression to be maximized or minimized is called the objective function ( in this case). The equations

2. CiteULike: Group: EPLab - With Tag Linear_programming [1 Article] Group EPLab with tag linear_programming 1 article. Recent papers posted by members of the EPLab group with tag linear_programming http://www.citeulike.org/group/2202/tag/linear_programming

Register Log in FAQ Sponsored link CiteULike News CiteGeist Discussion Journals Browse current issues Groups Search groups Info Library Messages ... Export Group: EPLab - with tag linear_programming [1 article] Recent papers posted by members of the EPLab group with tag linear_programming O Леониде Канторовиче и линейном программировании by Анатолий posted to by sherdim to the group EPLab on 2007-05-02 09:34:51 as Note: You may cite this page as: http://www.citeulike.org/group/2202/tag/linear_programming RIS BibTeX RSS Related Tags Tags related to: linear_programming Filter: overlay streaming CiteULike organises scholarly (or academic) papers or literature and provides bibliographic (which means it makes bibliographies) for universities and higher education establishments. It helps undergraduates and postgraduates. People studying for PhDs or in postdoctoral (postdoc) positions. The service is similar in scope to EndNote or RefWorks or any other reference manager like BibTeX, but it is a social bookmarking service for scientists and humanities researchers.

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SWiK login / register changes) Your tags: or Cancel New Page Wiki RSS Feed Blog Bookmarks Enter RSS URL to Syndicate here: (Feed found, click Add Page to syndicate.) Error finding feed, please try again A Blog Page allows you to add entries, for news or other time sensitive postings A Bookmarks page is a really simple list of links - ordered by date. Enter a title for this page this list of links the feed this blog Formatting help Login required to save to your tagged pages.) Add to your tagged pages? Enter space separated tags: (or Cancel var g_swipEditType = 'wiki'; var g_swipChangeType = 'wiki'; Wiki Page Open Source Project Finding project information from the web - complete. Preview Formatting Preview your edits: Make further edits (or Cancel Homepage Author License Login required to save to your tagged pages.)

4. Linear_programming linear_programming. Solves a linear programming problem. . x = imsl_d_linear_programming (m, n, a, b, c, 0); /* Print x */ imsl_d_write_matrix ( x , 1, http://www.visual-numerics.com/products/imsl/documentation/CNL06/math/NetHelp/li

Chapter 8: Optimization Solves a linear programming problem. Synopsis #include double int m int n double a[] double b[] double c[] Required Arguments int m (Input) Number of constraints. int n (Input) Number of variables. double a[] (Input) Array of size m n containing a matrix with coefficients of the m constraints. double b[] (Input) Array with m components containing the right-hand side of the constraints; if there are limits on both sides of the constraints, then b contains the lower limit of the constraints. double c[] (Input) Array with n components containing the coefficients of the objective function. Return Value A pointer to the solution x of the linear programming problem. To release this space, use free . If no solution can be computed, then NULL is returned. Synopsis with Optional Arguments include double int m int n double a[] double b[] double c[] int double bu[] int irtype[] double xlb[] double xub[] double *obj double x[] double **y double y[] Optional Arguments int (Input) The column dimension of a Default: n double bu[] (Input) Array with m components containing the upper limit of the constraints that have both the lower and the upper bounds. If no such constraint exists, then

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Main Page Modules Namespaces Classes ... Related Pages linear_programming.h File Reference Detailed Description Documentation on linear algebra. Documentation on linear programming. Generated on Mon Mar 31 00:25:20 2008 for Ariadne by

6. Mats Weber's Ada Component Library, Version 2.0 Math (ZpZ_Field, Polynomials, Permutations, linear_programming, etc.) Ada Programming Tools (Makeup_Ada_File, Ada_Lexical_Analyzer, etc. http://lglwww.epfl.ch/Team/MW/mw_components.html

Mats Weber's Ada Component Library, version 2.0 Download mw_components.tar.gz (210 Ko) Contents Legal Stuff Contact Info Recommendations Introduction Component Descriptions Legal Stuff Note: These components are released under the same conditions as the GNAT runtime library, but are not otherwise related to GNAT. These components are free software; you can redistribute it and/or modify them under terms of the GNU General Public License as published by the Free Software Foundation; either version 2, or (at your option) any later version. These components are distributed in the hope that they will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License distributed with these components; see file COPYING. If not, write to the Free Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. As a special exception, if other files instantiate generics from this library, or you link part of this library with other files to produce an executable, this library does not by itself cause the resulting executable to be covered by the GNU General Public License. This exception does not however invalidate any other reasons why the executable file might be covered by the GNU Public License. These components were originally developed by Mats Weber at EPFL (Swiss Federal Institute of Technology, Computer Science Theory Laboratory and Software Engineering Laboratory) from 1985 to 1990, and then used at Matrix SA, and then ELCA Matrix SA from 1991 to 1998. Some of the components (math/BCH codes, Galois fields) were developed as part of my degree in math, while I was a student at EPFL.

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8. With Dictionaries; Package Body Linear_Programming Is Procedure with Dictionaries; package body linear_programming is procedure Primal_Simplex ( dic in out Matrix; eps in double_float; in_bas,out_bas in out http://sage.math.washington.edu/home/kathy/phc/Ada/Math_Lib/Supports/linear_prog

with Dictionaries; package body Linear_Programming is procedure Primal_Simplex ( dic : in out Matrix; eps : in double_float; in_bas,out_bas : in out Standard_Integer_Vectors.Vector; nit : in out natural; unbounded : out boolean ) is unbound : boolean; begin while not Dictionaries.Primal_Optimal(dic,eps) loop Dictionaries.Primal_Update(dic,in_bas,out_bas,eps,unbound); nit := nit + 1; exit when unbound; end loop; unbounded := unbound; end Primal_Simplex; procedure Generic_Primal_Simplex ( dic : in out Matrix; eps : in double_float; in_bas,out_bas : in out Standard_Integer_Vectors.Vector; nit : in out natural; unbounded : out boolean ) is unbound : boolean; begin while not Dictionaries.Primal_Optimal(dic,eps) loop Report(dic,in_bas,out_bas); Dictionaries.Primal_Update(dic,in_bas,out_bas,eps,unbound); nit := nit + 1; exit when unbound; end loop; Report(dic,in_bas,out_bas); unbounded := unbound; end Generic_Primal_Simplex; procedure Dual_Simplex ( dic : in out Matrix; eps : in double_float; in_bas,out_bas : in out Standard_Integer_Vectors.Vector; nit : in out natural; feasible : out boolean ) is feasi : boolean; begin while not Dictionaries.Dual_Optimal(dic,eps) loop Dictionaries.Dual_Update(dic,in_bas,out_bas,eps,feasi); nit := nit + 1; exit when not feasi; end loop; feasible := feasi; end Dual_Simplex; procedure Generic_Dual_Simplex ( dic : in out Matrix; eps : in double_float; in_bas,out_bas : in out Standard_Integer_Vectors.Vector; nit : in out natural; feasible : out boolean ) is feasi : boolean; begin while not Dictionaries.Dual_Optimal(dic,eps) loop Report(dic,in_bas,out_bas); Dictionaries.Dual_Update(dic,in_bas,out_bas,eps,feasi); nit := nit + 1; exit when not feasi; end loop; Report(dic,in_bas,out_bas); feasible := feasi; end Generic_Dual_Simplex; end Linear_Programming;

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11. Linear Programming The problem, and associated area of mathematics, of maximizing or minimizing a linear function on a convex set, especially a polytope. http://www.daviddarling.info/encyclopedia/L/linear_programming.html

MATHEMATICS A B C ... CONTACT entire Web this site linear programming The problem, and associated area of mathematics, of maximizing or minimizing a linear function on a convex set, especially a polytope . Equivalently, maximizing a linear expression in some number of variables subject to linear equalities and inequalities. Related category MATHEMATICS Also on this site: BACK TO TOP var site="s13space1234"

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15. Linear Programming - Indopedia, The Indological Knowledgebase Retrieved from http//www.indopedia.org/linear_programming.html . This page has been accessed 1122 times. This page was last modified 0234, http://www.indopedia.org/Linear_programming.html

Indopedia Main Page FORUM Help ... Log in The Indology CMS In other languages: Deutsch Categories Optimization Printable version ... Wikipedia Article Linear programming ज्ञानकोश: - The Indological Knowledgebase In mathematics, linear programming (LP) problems are optimization problems in which the objective function and the constraints are all linear . Linear programming is the process of solving LP problems. Linear programming is an important field of optimization for several reasons. LP problems are the easiest kind of optimization problems, since everything is linear. Furthermore, many practical problems in operations research can be expressed as linear programming problems. Finally, many algorithms for other optimization problems work by solving LP problems. Contents showTocToggle("show","hide") 1 Example 2 Theory 3 Algorithms 4 Integer unknowns ... edit Example Here is an example of a linear programming problem. Suppose that a farmer has a piece of farm land, say A square kilometres large, to be planted with either wheat or barley. The farmer has a limited permissible amount F of fertilizer and P of insecticide which can be used, each of which is required in different amounts per unit area for wheat (

16. Linear Programming - English Dictionary english to english dictionary containing references. http://www.online-dictionary.biz/english/vocabulary/reference/linear_programming

var language=0; var from='english'; var to='english'; Online Dictionary Chinese to English English to Chinese ... French to English German to English to Japanese Italian to English Japanese to English to German Latin to English Russian to English ... Swedish to English If you can't find the translation you need, try our free translation Linear Programming - English Dictionary 1. linear programming A procedure for finding the maximum or minimum of a linear function where the arguments are subject to linear constraints. The simplex method is one well known algorithm. 2. a mathematical technique used in economics; finds the maximum or minimum of linear functions in many variables subject to constraints Related words applied mathematics A B C ... Z All content on this website is property of LocalTranslation unless stated otherwise. document.getElementById("generationTime").innerHTML='('+(0.62)+' seconds)'; document.getElementById("generationTime").innerHTML='('+(0.62)+' seconds)';

17. MATHS: FAQ Frequently Asked Questions linear_programming=A technique for finding a set of values for variable that optimize a linear function subject to linear constraints. http://www.csci.csusb.edu/dick/maths/faq.html

Skip Navigation CSUSB CNS Comp Sci Dept ... R J Botting ] / faq Contents Source Text Notation Contact ] [Search Thu Oct 11 14:06:13 PDT 2007 Contents FAQ Frequently Asked Questions : Why don't you have the answer to my question : Where can I find simple mathematics on the web : What are the 3 operators of Set Theory ... Glossary FAQ Frequently Asked Questions Why don't you have the answer to my question I'm sorry that I have failed you. This site started out as a collection of fundamental mathematical and logical systems that would help people develop software. I didn't put in many things because I didn't think they would be needed. Later I added some answers to question and pieces of logical mathematics that people asked me. I've never seen your question before or decided it was outside the scope of this site. Your answer may very well be on one of the sites below. Where can I find simple mathematics on the web Try this site [ http://math.com ] (with commercials) or [ math-faq.html ] for a start. The Wikipedia [ ] is a pretty reliable source of mathematics.

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