Solution for Vehicle Routing Problem with Time Windows and Multiple Service Workers (VRP-TW-MSW) using Integer Linear Programming (ILP ...

Mixed Integer Linear Programming (MILP) is essential for modeling complex decision-making problems but faces challenges in computational tractability and requires expert formulation. Current deep ...

The continuous berth allocation problem (BAPC) in this study is a more practical berth allocation problem (BAP) with the following key features of modern multi-user terminal (MUT): the quayside space ...

OpenAI on Friday unveiled a new artificial intelligence system, OpenAI o3, which is designed to “reason” through problems involving math, science and computer programming.

Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear Programming: regression, classification and other engineering applications. Integer Linear Programming: Basics, ...

Many important practical computations, such as scheduling, combinatorial, and optimization problems, use techniques known as integer programming to find the best combination of many variables. In ...

This optimization problem is often formulated to minimize the losses in the network and can be combined with other objectives as well. Our study introduces a novel Mixed Integer Linear Programming ...

A mixed integer linear programming model for a minimum backbone grid is proposed in this paper, which considers the practical application requirements. More importantly, the model can ensure network ...

Minimum backbone grid problems compared with selected references. In this paper, we also present a mathematical programming method in which a mixed integer linear programming model for a minimum ...