What are the variants of knapsack problem?
Nested knapsack problem. Collapsing knapsack problem. Nonlinear knapsack problem. Inverse-parametric knapsack problem.
How does knapsack algorithm work?
The knapsack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.
What is the aim of the knapsack problem?
3. What is the objective of the knapsack problem? Explanation: The objective is to fill the knapsack of some given volume with different materials such that the value of selected items is maximized.
What is the strategy used in knapsack?
C) Greedy Algorithm His version sorts the items in decreasing order of value per unit of weight, vi / wi. It then proceeds to insert them into the sack, starting with as many copies as possible of the first kind of item until there is no longer space in the sack for more.
What is meant by knapsack problem?
Which is the best description of the knapsack problem?
Knapsack problem. The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.
How to calculate the maximum value in a knapsack?
Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum total value in the knapsack. In other words, given two integer arrays val [0..n-1] and wt [0..n-1] which represent values and weights associated with n items respectively.
How is the multiple knapsack problem different from the bin packing problem?
Multiple knapsack problem. This variation is similar to the Bin Packing Problem. It differs from the Bin Packing Problem in that a subset of items can be selected, whereas, in the Bin Packing Problem, all items have to be packed to certain bins. The concept is that there are multiple knapsacks.
Are there polynomial time algorithms for the knapsack problem?
The Knapsack Problem is an NP-Hard optimization problem, which means it is unlikely that a polynomial time algorithm exists that will solve any instance of the problem. However, algorithms known as approximation schemes offer a viable alternative.