TīmeklisThe binary quadratic knapsack problem (QKP) aims at optimizing a quadratic cost function within a single knapsack. Its applications and difficulty make it appealing for various industrial fields. In this paper we present an efficient strategy to solve the problem by modeling it as an Ising spin model using an Ising machine to search for … Graphs occur frequently in everyday applications. Examples include biological or social networks, which contain hundreds, thousands and even billions of nodes in some cases (e.g. Facebook or LinkedIn). • 1-planarity • 3-dimensional matching
The quadratic 0-1 knapsack problem with series-parallel support
Tīmeklis2015. gada 1. sept. · 1. Introduction. The 0 / 1 Quadratic Knapsack Problem (QKP) is a generalization of the 0 / 1 Knapsack Problem (KP) introduced by Gallo et al. … The quadratic knapsack problem (QKP), first introduced in 19th century, is an extension of knapsack problem that allows for quadratic terms in the objective function: Given a set of items, each with a weight, a value, and an extra profit that can be earned if two items are selected, determine the … Skatīt vairāk Specifically, the 0–1 quadratic knapsack problem has the following form: Here the binary variable xi represents whether item i is included in the knapsack, Informally, the … Skatīt vairāk In general, the decision version of the knapsack problem (Can a value of at least V be achieved under a restriction of a certain capacity … Skatīt vairāk Researchers have studied 0-1 quadratic knapsack problems for decades. One focus is to find effective algorithms or effective … Skatīt vairāk 1. ^ C., Witzgall (1975). "Mathematical methods of site selection for Electronic Message Systems (EMS)". NBS Internal Report. 76: 18321. Skatīt vairāk As one might expect, QKP has a wide range of applications including telecommunication, transportation network, computer science and economics. In fact, Witzgall first discussed QKP when selecting sites for satellite stations in order to maximize the … Skatīt vairāk While the knapsack problem is one of the most commonly solved operation research (OR) problems, there are limited efficient algorithms that can solve 0-1 quadratic knapsack problems. Available algorithms include but are not limited to brute force, linearization, … Skatīt vairāk • Computer programming portal • Knapsack problem • Combinatorial auction • Combinatorial optimization Skatīt vairāk residential aged care meaning
European Journal of Operational Research - Mathematics
Tīmeklis2009. gada 3. jūl. · The quadratic knapsack (QK) model naturally arises in a variety of problems in operations research, statistics and combinatorics. Some “upper planes” for the QK problem are derived, and their ... Tīmeklis2024. gada 9. febr. · The Quadratic Knapsack Problem with Conflict Graphs (QKPCG) is a generalization of the QKP in which, as for the knapsack problem with conflict … Tīmeklis2014. gada 25. aug. · The knapsack problem (KP) is one of the widely and extensively studied resource allocation problems. This chapter addresses the 0‐1 KP and its … residential aged care inner west