A comprehensive review of transportation problems is provided in this paper, which clarifies the definition and mathematical model of transportation problems as a special class of linear programming ...

We developed spreadsheet linear-programming models for planning shipments of finished goods between vendors, manufacturing plants, warehouses, and customers to minimize overall cost subject to maximum ...

Dualizing the side constraints produces a Lagrangian problem that is easy to solve and whose optimal value is a lower bound (for minimization problems) on the optimal value of the original problem.

The PDLP (Primal-Dual Hybrid Gradient enhanced for Linear Programming) solver improves the performance and reliability of PDHG by implementing a restarted version of the algorithm. The standard PDHG ...

Examples were found on which simplex ran in exponential time. Eventually, polynomial-time algorithms for linear programming were found, but the simplex method continued to be used — and in many ...

ABSTRACT In this paper, we propose a new heuristic strategy to solve linear integer mathematical problems. The strategy begins by finding the optimal solution of the continuous associated problem and ...