Login

Create Account
+14156709521
info@expertsmind.com
Submit Homework/Assignment
Get quote & make Payment
Get Solution
Linear Programming Model Assignment Help, Standard Form
Statistics Assignment Help
>> Linear Programming Model Assignment Help, Standard Form
LINEAR PROGRAMMING
Linear programming can be said to be that mathematical method which is used for determining ways for achieving best outcomes while using a given mathematical model for a list of given requirements which are represented as linear relationships. Liner programming can also be said to be a specific case for mathematical programming or mathematical optimization.
If we define it in more formal terms, the linear programming can be said to be a technique used for optimization of linear objective function which is subject to linear equality and also to linear inequality constraints. The feasible region of the linear programming is a convex polyhedron which is a set defined as having intersection of many finite half spaces with each being defined by linear inequality. The objective function of it is the real valued affine function which is defined on this polyhedron. By using the linear programming polyhedron, we can find out the point on the polyhedron where the function attains the highest or smallest value, if the point exists.
The linear programs could also be expressed in canonical forms:
Here x represents the variable vectors which are to be determined. C and b are known coefficients of vectors and A is the coefficient of known matrix. The objective function, c
^{T}
x in this case, is the expression which has to be minimized or maximized. The equation Ax ≤ b is the constraint used for specifying the convex polytope, above which the optimization of the objective function is done.
The standard form
Standard form is most intuitive and the usual form which describes the linear programming problem. It has mainly following 4 parts:
A linear function which has to be maximized
Other forms like those forms of minimization problems are the problems with constraints on the alternative forms and also the problems involving negative variables that can always be rewritten into the equivalent problems, in the standard form.
The linear programming problems are also referred as primal problems. They can be converted into the dual problem that provides an upper bound to the optimal value of the primal problem. The primal problem can be expressed in the matrix form as
Maximizing the c
^{T}
x subjects into Ax ≤ b, x ≥ 0;
Having the corresponding dual symmetric problem
Minimizing b
^{T}
y subject into A
^{T}
y ≥ c, y ≥ 0.
An alternate primal formulation can be:
Maximizing c
^{T}
x subject into Ax ≤ b;
Having the corresponding dual asymmetric problem
Minimizing b
^{T}
y subject into A
^{T}
y = c, y ≥ 0.
The fundamental theory has two fundamental ideas. The first is that for the symmetric dual, the dual linear program’s dual is the original primal linear program. The second is that for every feasible solution of a linear program has a bound to the optimal value of the objective function of the dual. As per the weak duality theorem, the objective function value of any dual at any solution which is feasible is always equal to or greater than the objective function value of the primal at any of the primal solution.
Integral linear programs the linear programs of the real variables having at least one integral optimal solution are termed as integral.
Hence, the polyhedron
Is integral when for all the feasible bounded functions c, the linear program
gets the optimum value x
^{*}
having integer coordinates.
Help with Linear Programming Assignments  Home works
Do you some doubts regarding the concepts and deDo you some doubts regarding the concepts and deDo you some doubts regarding the concepts and definitions used in linear programming? The thorough knowledge of Linear programming is very important as it has been has been applied to various field of studies including those of business and economics. It has also been applied to engineering in areas like energy, telecommunication, manufacturing etc where it has been extremely useful in areas like routing, planning, assignments, designing etc. Thus the knowledge of the topic is very necessary for undertaking various standard exams of engineering and also for clearing important interviews for jobs in these sectors. If you want to understand the subject fully, we at
expertsmind
are there to help you 24*7. We at experts mind are aided by around thousands of highly qualified and well experienced experts who are there to help you for all your exams, assignments and academic problems 24*7. We have some state of the art tools for conducting online tutoring and can create the atmosphere of a live classroom in your living room itself! All the solutions to your assignments are delivered within the given deadline period and are revised until they match you specific academic wants. You can access our experts anytime you wish. We offer plagiarism free work with high quality content. The revision of the content is also done until they match perfectly to your requirements. You can log on to
Expertsmind.comic and educational experience. We at
Expertsmind.com
offer linear programming assignment help, linear programming homework help,
statistics
optimal solutions problems solutions and mathematical optimization techniques projects assistance with best online assistance from online experts.
Assignment Help
Accounting Assignment Help
Economics Assignment Help
Finance Assignment Help
Statistics Assignment Help
Physics Assignment Help
Chemistry Assignment Help
Math Assignment Help
Biology Assignment Help
English Assignment Help
Management Assignment Help
Engineering Assignment Help
Programming Assignment Help
Computer Science Assignment Help
IT Courses and Help
ExpertsMind Services
Online Tutoring
Projects Assistance
Exam Preparation
Coursework Help
Programming Courses
Engineering Courses
Why Us ?
~Experienced Tutors
~24x7 hrs Support
~Plagiarism Free
~Quality of Work
~Time on Delivery
~Privacy of Work