Knapsack problems are typically concerned with selecting from a set of n given items, each with a specified weight and value, a subset of items whose weight sum does not exceed a prescribed capacity and whose value is maximum. This NP-hard problem arises in many applications and has been ...
On the Feasibility Problem of Penalty-Based Evolutionary Algorithms for Knapsack Problems Constrained optimization problems can be tackled by evolutionary algorithms using penalty functions to guide the search towards feasibility. The core of such approaches is the design of adequate penal J Gottlieb - ...
In this study, designed a O(n2log2n) quantum mechanical algorithm, to solve the 0-1-knapsack problem on a hypothetical quantum computer. Used the special characteristics of the quantum environment, constantly divided the state of vector space, reduced the probability of state vector which don ...
Find the most efficient solution for the 0/1 Knapsack Problem. Uses dynamic programming for time and space optimisation. Implements classic algorithms widely applicable in optimisation problems. ℹ️ Overview This project provides a solution to the well-known 0/1 Knapsack Problem. It leverages dyn...
Motivated by a real world application, we study the multiple knapsack problem with assignment restrictions (MKAR). We are given a set of items, each with a
Fully polynomial approximation schemes for knapsack problems are presented. These algorithms are based on ideas of Ibarra and Kim, with modifications which yield better time and space bounds, and also tend to improve the practicality of the procedures. Among the principal improvements are the introduct...
Summary: The author presents a new technique called balancing for the solution of knapsack problems. He proves that an optimal solution to the knapsack problem is balanced, and thus only balanced feasible solutions need to be enumerated in order to solve the problem to optimality. Restricting a ...
A Parallel Processing Algorithms for Solving Factorization and Knapsack ProblemsQuantum computingQubitssuperpositionmutationparallesimIJCSIQuantum and Evolutionary computation are new forms of computing by their unique paradigm for designing algorithms.The Shors algorithm is based on quantum concepts such as ...
Backtracking is an important tool for solving constraint satisfaction problems, such as crossword, verbal arithmetic, and many other puzzles. It is often the most convenient (If not them most efficient) technique for parsing for the knapsack problem and other combinational optimization problems. It ...
In this paper, we study the problem of maximizing k-submodular functions subject to a knapsack constraint. For monotone objective functions, we present a $