Sections: published in 13 topical sections. Recognition of Reviewers: reviewers who provide timely, thorough peer-review reports receive vouchers entitling them to a discount on the APC of their next publication in any MDPI journal, in appreciation of the work done. This journal in the second half of 2022). To publication is undertaken in 3.6 days (median values for papers published in Rapid Publication: manuscripts are peer-reviewed and a firstĭecision is provided to authors approximately 16.8 days after submission acceptance. Journal Rank: JCR - Q1 ( Mathematics) / CiteScore - Q1 ( General Mathematics). High Visibility: indexed within Scopus, SCIE (Web of Science), RePEc, and other databases. Open Access- free for readers, with article processing charges (APC) paid by authors or their institutions. Linear programs are problems that can be expressed in canonical form asįind a vector x that maximizes c T x subject to A x ≤ b and x ≥ 0.Is a peer-reviewed, open access journal which provides an advanced forum for studies related to mathematics, and is published semimonthly online by MDPI. The European Society for Fuzzy Logic and Technology (EUSFLAT) and International Society for the Study of Information (IS4SI) are affiliated with Mathematics and their members receive a discount on article processing charges. A linear programming algorithm finds a point in the polytope where this function has the smallest (or largest) value if such a point exists. Its objective function is a real-valued affine (linear) function defined on this polyhedron. 
Its feasible region is a convex polytope, which is a set defined as the intersection of finitely many half spaces, each of which is defined by a linear inequality. More formally, linear programming is a technique for the optimization of a linear objective function, subject to linear equality and linear inequality constraints. Linear programming is a special case of mathematical programming (also known as mathematical optimization). Linear programming ( LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.
The linear programming problem is to find a point on the polyhedron that is on the plane with the highest possible value. The surfaces giving a fixed value of the objective function are planes (not shown). A closed feasible region of a problem with three variables is a convex polyhedron.
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