The decision version of the 0-1knapsack problem is an NP-Complete problem. ... Therefore, the knapsack problem can be reduced to the Subset-Sum problem in polynomial time. Further, the complexity of this problem depends on the size of the input values , . What is the time complexity of ...
NP-Hard are problems that are at least as hard as the hardest problems in NP. Note that NP-Complete problems are also NP-hard. However not all NP-hard problems are NP (or even a decision problem), despite having NP as a prefix. That is the NP in NP-hard does not mean non-determi...
Thus, using a knapsack dynamic program over the green components, one can compute the whole subgraph G′ in the claimed running time. As the running time would be still impractical, we refrain from giving a formal proof. Next, we show that considering Anonym V-Del we can assume that s<f...
This problem is a NP-hard problem. In this paper, a ne... P Kaveh - 《International Journal of Innovation》 被引量: 18发表: 2010年 A k-means binarization framework applied to multidimensional knapsack problem The multidimensional knapsack problem (MKP) is one of the widely known integer ...
Fully polynomial approximation schemes for locating a tree-shaped facility: A generalization of the knapsack problem This problem is NP-hard for both the minimization and the maximization versions since it generalizes the knapsack problem. We present fully polynomial ... Tamir - 《Discrete Applied Mat...
We consider a stochastic variant of the NP-hard 0/1 knapsack problem, in which item values are deterministic and item sizes are independent random variable... Brian C. Dean, Michel X. Goemans, Jan Vondrák - 《Mathematics of Operations Research》 被引量: 412发表: 2008年 The Complexity of...
To this end, we create a generalization of the DKPs called cascade knapsack problems (CKPs), which are inequality-constrained binary knapsack feasibility problems whose coefficients have the form a=p1M1+p2M2+r. We show that the width of CKP polytope along p1 is larger than 1, while the ...
Sounds to me like a bin packing problem or knapsack problem with additional constraints (certain lists can only go to specific buckets) for which you want a solution that fills all buckets to at least a specific load factor. Speaking of "efficient", I would say that what...
Look at it as a knapsack problem with a lot of ordering constraints as well as some solutions completely failing because of routing congestion. Clarification: In each cycle there is a limit to how many operations of each type and some operations have two possible types. There are a set of ...
All three are ubiquitous in real life and reflect day-to-day problems such assoftware testing(satisfiability), planning a road trip (traveling salesperson), and shopping or investing (knapsack). We recruited 67 people, split them into three groups, and made each group solve between 64–72 diff...