The knapsack problem is the following problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine which items...

The knapsack problem is one of the most studied problems in combinatorial optimization, with many real-life applications. For this reason, many special...

computer science, the continuous knapsack problem (also known as the fractional knapsack problem) is an algorithmic problem in combinatorial optimization...

quickly in practice. SSP is a special case of the knapsack problem and of the multiple subset sum problem. The run-time complexity of SSP depends on two...

The quadratic knapsack problem (QKP), first introduced in 19th century, is an extension of knapsack problem that allows for quadratic terms in the objective...

NP-hard problem reducible to the knapsack problem. The problem can be formulated as an integer linear programming problem. A paper machine can produce an...

maximizing the value of items that can fit in the bin is known as the knapsack problem. A variant of bin packing that occurs in practice is when items can...

for decryption. It is based on the subset sum problem (a special case of the knapsack problem). The problem is as follows: given a set of integers A {\displaystyle...

optimization problems are the travelling salesman problem ("TSP"), the minimum spanning tree problem ("MST"), and the knapsack problem. In many such problems, such...

multiple knapsack problem (MKP) is a generalization of both the max-sum MSSP and the knapsack problem. In this problem, there are m knapsacks and n items...

NP-complete: MP1  Some problems related to Job-shop scheduling Knapsack problem, quadratic knapsack problem, and several variants: MP9  Some problems related to Multiprocessor...

time O ( ( log ⁡ n ) 6 ) {\displaystyle O((\log {n})^{6})} . In the knapsack problem, we are given n {\displaystyle n} items with weight w i {\displaystyle...

the integer knapsack problem, and has applications wider than just currency. It is also the most common variation of the coin change problem, a general...

expressed as decision problems. Boolean satisfiability problem (SAT) Knapsack problem Hamiltonian path problem Travelling salesman problem (decision version)...

approximation is not always exact. A related problem is the partition problem, a variant of the knapsack problem from operations research. Some weights are...

Communist Party Pound sterling (non-standard code) Unbounded knapsack problem, a problem in combinatorial optimization Ubiquitous Knowledge Processing...

problem reduces to the multiple knapsack problem. If there is a single agent, then, this problem reduces to the knapsack problem. In the following, we have...

for many NP-complete problems, such as the knapsack problem, the traveling salesman problem, and the Boolean satisfiability problem, that can solve to optimality...

the knapsack problem is as follows: given a set of items of varying volume and a set of knapsacks of varying capacity, assign each item to a knapsack such...

partition problem (WCGTPP) Arc-weighted l-cardinality tree problem (AWlCTP) Multiple knapsack problem (MKP) Maximum independent set problem (MIS) Ant...

For example, Knapsack was shown to be NP-complete by reducing Exact cover to Knapsack. Satisfiability: the boolean satisfiability problem for formulas...

NP-hard knapsack problem can be solved by a dynamic programming algorithm requiring a number of steps polynomial in the size of the knapsack and the number...

most convenient technique for parsing, for the knapsack problem and other combinatorial optimization problems. It is also the program execution strategy used...

1  The knapsack problem, as well as some of its variants: 0-1 knapsack problem. Unbounded knapsack problem. Multi-dimensional knapsack problem with Delta-modular...

always problem-dependent. For instance, in the knapsack problem one wants to maximize the total value of objects that can be put in a knapsack of some...

incorrect outcomes. To use a heuristic for solving a search problem or a knapsack problem, it is necessary to check that the heuristic is admissible....

function continuous knapsack problem Cook reduction Cook's theorem counting sort covering CRCW Crew (algorithm) critical path problem CSP (communicating...

solving an instance of the knapsack problem, which explains the term "knapsack auction". An example application of a knapsack auction is auctioning broadcast...

NP-hardness of this unary version of the problem. For example, bin packing is strongly NP-complete while the 0-1 Knapsack problem is only weakly NP-complete. Thus...

Rhine-Westphalia the knapsack problem, a math problem the subset sum problem, a special case of the above Naccache-Stern knapsack cryptosystem, a cryptosystem...