LPrelated

LPrelated is a term used in some technical writings to denote topics, methods, or materials that pertain to linear programming (LP) in optimization and related fields. It is not an official standard term with a single, universally accepted definition; usage varies by author and context.

In practice, LPrelated encompasses LP formulations, relaxations, duality theory, sensitivity analysis, and the implementation of LP algorithms. It also appears in discussions of modeling tools and software that generate, reformulate, or solve LP problems, including solver interfaces, pre-processing, and pricing in column-generation schemes.

Because many optimization problems are approached via LP relaxations, LPrelated topics frequently appear in operations research, industrial engineering, economics, and computer science. The phrase is often used interchangeably with “linear programming related” or “LP-related” when describing subproblems, bounds, or subroutines that rely on LP techniques.

Examples of LPrelated work include using LP relaxations to obtain bounds for mixed-integer programs, employing dual prices to guide heuristics, or integrating LP solvers into larger optimization pipelines. It also covers theoretical aspects such as duality, strong and weak formulations, and sensitivity analysis as they apply to LP models.

In summary, LPrelated is a flexible, informal label for topics tied to linear programming and its applications, rather than a formally defined subfield. See also: Linear programming; Optimization; Operations research; LP relaxation; Duality; Simplex method; Interior-point method.