linear programming: meaning, definition, pronunciation and examples
C1/C2Technical/Academic
Quick answer
What does “linear programming” mean?
A mathematical method to achieve the best outcome (such as maximum profit or lowest cost) in a model whose requirements are represented by linear relationships.
Audio
Pronunciation
Definition
Meaning and Definition
A mathematical method to achieve the best outcome (such as maximum profit or lowest cost) in a model whose requirements are represented by linear relationships.
A standard technique in operations research and mathematical optimization used for planning and decision-making under constraints, applicable in fields from logistics to economics.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or spelling; the term is identical in both varieties.
Connotations
Neutral technical term in both varieties.
Frequency
Equally low-frequency in general use but standard in technical/academic contexts in both regions.
Grammar
How to Use “linear programming” in a Sentence
[Subject] used linear programming to [Verb Phrase]Linear programming was applied to [Noun Phrase]Vocabulary
Collocations
Examples
Examples of “linear programming” in a Sentence
verb
British English
- The team linear-programmed the supply chain model.
American English
- They linear-programmed the production schedule.
adverb
British English
- The problem was solved linear-programming-wise.
American English
- They approached it linear-programming-style.
adjective
British English
- A linear-programming approach was deemed most suitable.
American English
- The linear-programming solution was highly efficient.
Usage
Meaning in Context
Business
Used in supply chain optimization, resource allocation, and production planning.
Academic
Central topic in operations research, mathematics, economics, and engineering curricula.
Everyday
Virtually never used in casual conversation.
Technical
Precise term for solving optimization problems with linear objective functions and constraints.
Vocabulary
Synonyms of “linear programming”
Strong
Neutral
Weak
Vocabulary
Antonyms of “linear programming”
Watch out
Common Mistakes When Using “linear programming”
- Using 'linear programming' to mean simple step-by-step planning (wrong).
- Confusing it with computer programming (wrong).
FAQ
Frequently Asked Questions
No, it is a historical term from 'mathematical programming' meaning optimization planning, not writing software code.
An objective function to maximize/minimize, a set of decision variables, and a set of linear constraints.
Transportation, manufacturing, energy, telecommunications, and finance for resource allocation and scheduling.
No, by definition it requires linear relationships. Non-linear problems require different techniques like non-linear programming.
A mathematical method to achieve the best outcome (such as maximum profit or lowest cost) in a model whose requirements are represented by linear relationships.
Linear programming is usually technical/academic in register.
Linear programming: in British English it is pronounced /ˌlɪn.i.ə ˈprəʊ.ɡræm.ɪŋ/, and in American English it is pronounced /ˌlɪn.i.ɚ ˈproʊ.ɡræm.ɪŋ/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “None applicable”
Learning
Memory Aids
Mnemonic
Think of plotting straight (LINEAR) lines on a graph to find the best PROGRAM (plan) for a situation.
Conceptual Metaphor
NAILING THE OPTIMUM: Finding the single best point in a space defined by straight-line boundaries.
Practice
Quiz
What is the primary goal of linear programming?