II.
LibraryProcess overview
Reference · livelib-process:mathematics--optimization-problem-formulation
optimization-problem-formulation overview
Translate real-world optimization problems into mathematical programming formulations. Identifies decision variables, objective functions, and constraints from problem descriptions.
Attributes
displayName
optimization-problem-formulation
description
Translate real-world optimization problems into mathematical programming formulations.
Identifies decision variables, objective functions, and constraints from problem descriptions.
libraryPath
library/specializations/domains/science/mathematics/optimization-problem-formulation.js
specialization
mathematics
references
- - Boyd & Vandenberghe, Convex Optimization - Bertsimas & Tsitsiklis, Introduction to Linear Optimization - Williams, Model Building in Mathematical Programming - AMPL Book: https://ampl.com/resources/the-ampl-book/
example
const result = await orchestrate('specializations/domains/science/mathematics/optimization-problem-formulation', {
problemDescription: 'Schedule nurses to minimize labor cost while ensuring adequate coverage for all shifts and respecting labor regulations',
objectives: ['minimize total labor cost', 'maximize employee satisfaction'],
constraints: ['24/7 coverage required', 'max 40 hours per week per nurse', 'minimum rest between shifts']
});
usesAgents
- optimization-expert
Outgoing edges
lib_applies_to_domain1
- domain:mathematics·DomainMathematics
lib_belongs_to_specialization2
- specialization:computational-mathematics·SpecializationComputational Mathematics
- specialization:mathematics·SpecializationMathematics
lib_implements_workflow1
- workflow:experiment-design·WorkflowExperiment Design
lib_involves_role2
- role:research-engineer·RoleResearch Engineer
- role:computational-scientist·RoleComputational Scientist
lib_requires_skill_area3
- skill-area:statistical-analysis·SkillAreaStatistical Analysis
- skill-area:mathematical-reasoning·SkillAreaMathematical Reasoning
- skill-area:data-analysis·SkillAreaData Analysis
uses_agent1
- lib-agent:mathematics--optimization-expert·LibraryAgentoptimization-expert
Incoming edges
None.