linear-programming-solver

# Linear Programming Solver ## Overview The Linear Programming Solver skill provides comprehensive capabilities for formulating and solving linear optimization problems. It supports resource allocation, production planning, scheduling, and other business optimization challenges through efficient solver integration and solution analysis. ## Capabilities - LP model formulation assistance - Solver integration (GLPK, CBC, CPLEX, Gurobi) - Sensitivity analysis (shadow prices, reduced costs) - Infeasibility diagnosis - Unboundedness detection - Integer programming support - Multi-objective LP (goal programming) - Solution interpretation ## Used By Processes - Prescriptive Analytics and Optimization - Resource Allocation - Supply Chain Optimization ## Usage ### Problem Formulation ```python # Define LP problem lp_problem = { "name": "Production Planning", "sense": "maximize", # or "minimize" "decision_variables": { "product_A": {"type": "continuous", "lower_bound": 0, "upper_bound": 1000}, "product_B": {"type": "continuous", "lower_bound": 0, "upper_bound": 800}, "product_C": {"type": "integer", "lower_bound": 0} # integer variable }, "objective": { "expression": "50*product_A + 40*product_B + 60*product_C", "description": "Maximize total profit" }, "constraints": [ { "name": "labor_hours", "expression": "2*product_A + 3*product_B + 4*product_C <= 2400", "descri...