Fundamental Theorem of Linear Programming
GPTKB entity
Statements (71)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:appliesTo |
linear_programming_problems
|
| gptkbp:description |
relationship between feasible solutions and optimal solutions
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fundamental Theorem of Linear Programming
|
| gptkbp:isAvenueFor |
economics
project management urban planning financial planning supply chain management energy management transportation problems |
| gptkbp:isConnectedTo |
optimization algorithms
dual linear programming linear_inequalities linear_transformations |
| gptkbp:isCriticizedFor |
decision-making processes
|
| gptkbp:isExaminedBy |
geometric interpretation of linear programming
the concept of linearity the concept of optimality the concept of vertices |
| gptkbp:isExploredIn |
research papers
academic research quantitative analysis optimization literature |
| gptkbp:isImportantFor |
computer science
strategic planning data science business analytics business optimization |
| gptkbp:isRelatedTo |
telecommunications
risk management algorithm design supply chain optimization decision theory game theory matrix theory constraint satisfaction convex analysis sustainability analysis feasible region shadow prices simplex algorithm mathematical_programming linear_equations linear_programming_theory |
| gptkbp:isStudiedIn |
mathematics courses
mathematical optimization courses operations research courses |
| gptkbp:isUsedFor |
resource allocation problems
|
| gptkbp:isUsedIn |
operations research
portfolio optimization network flow problems agricultural planning human resource management marketing optimization production planning healthcare_resource_allocation |
| gptkbp:isUtilizedIn |
market analysis
financial modeling financial analysis environmental modeling resource allocation models |
| gptkbp:keyFunction |
optimization theory
|
| gptkbp:keyIssues |
time management
logistics optimization performance optimization resource management profit maximization cost minimization linear_optimization |
| gptkbp:state |
if a linear programming problem has an optimal solution, then at least one optimal solution occurs at a vertex of the feasible region
|