{"library":"mip","title":"Python MIP","description":"Python-MIP (Mixed-Integer Programming) is a Python library for modeling and solving Mixed-Integer Linear Programs (MIPs). It provides a high-level, intuitive API inspired by Pulp, offering access to advanced solver features like cut generation, lazy constraints, and solution pools. The library integrates with popular open-source solvers like COIN-OR CBC and HiGHS, as well as the commercial Gurobi solver. It is actively maintained, with version 1.17.6 being the latest, and aims for high performance and extensibility, supporting Python 3.10+ and PyPy for faster model generation.","language":"python","status":"active","last_verified":"Sun May 17","install":{"commands":["pip install mip","pip install mip gurobipy"],"cli":null},"imports":["from mip import Model","from mip import xsum","from mip import maximize","from mip import MINIMIZE","from mip import BINARY"],"auth":{"required":false,"env_vars":[]},"quickstart":{"code":"from mip import Model, xsum, maximize, BINARY, OptimizationStatus\n\n# 0/1 Knapsack Problem example\np = [10, 13, 18, 31, 7, 15] # profits\nw = [11, 15, 20, 35, 10, 33] # weights\nc, I = 47, range(len(w)) # capacity, items index\n\nm = Model(\"knapsack\")\n\nx = [m.add_var(var_type=BINARY, name=f'x_{i}') for i in I]\n\nm.objective = maximize(xsum(p[i] * x[i] for i in I))\n\nm += xsum(w[i] * x[i] for i in I) <= c\n\nstatus = m.optimize()\n\nif status == OptimizationStatus.OPTIMAL:\n    selected_items = [i for i in I if x[i].x >= 0.99]\n    print(f\"Selected items: {selected_items}\")\n    print(f\"Total profit: {m.objective_value}\")\n    print(f\"Total weight: {sum(w[i] for i in selected_items)}\")\nelif status == OptimizationStatus.FEASIBLE:\n    print(\"Solution found, but not necessarily optimal.\")\nelif status == OptimizationStatus.INFEASIBLE:\n    print(\"Model is infeasible.\")\nelif status == OptimizationStatus.UNBOUNDED:\n    print(\"Model is unbounded.\")\nelse:\n    print(f\"Optimization status: {status}\")","lang":"python","description":"This quickstart solves a 0/1 Knapsack Problem, demonstrating model creation, variable definition, objective function, adding constraints, optimization, and result 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