Degree of Approximation Because our genetic 0-1 knapsack algorithm is an approximation, an important thing to note is the average deviation of the generated solutions at different input sizes. I found ...

The knapsack problem is a fundamental challenge in combinatorial optimization and a crucial topic in algorithm design and analysis. It involves a set of items, each with a specific weight and value, ...

One way to design an algorithm for the knapsack problem is to use dynamic programming, a technique that breaks down a complex problem into smaller subproblems and stores the solutions in a table. The ...

The unbounded knapsack problem: given a knapsack of some capacity and a set of items that have a weight and a value, determine the maximum value of items you can place in your knapsack. The number of ...

Abstract: Rapid uptake of distributed energy resources (DER) requires a new market platform for their active participation to manage energy balance locally. This paper proposes a new Peer to Peer (P2P ...

Combinatorial optimisation problems arise in many fields, from logistics and network design to machine learning and bioinformatics. Most classical formulations are NP-hard, rendering exact ...