knapsack algorithm - translation to ρωσικά
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knapsack algorithm - translation to ρωσικά

PROBLEM IN COMBINATORIAL OPTIMIZATION
0/1 knapsack problem; 0-1 knapsack problem; Unbounded knapsack problem; Unbounded Knapsack Problem; Binary knapsack problem; Napsack problem; Backpack problem; 0-1 Knapsack problem; Integer knapsack problem; Knapsack Problem; Algorithms for solving knapsack problems; Methods for solving knapsack problems; Approximation algorithms for the knapsack problem; Bounded knapsack problem; Multiple knapsack problem; Rucksack problem; Computational complexity of the knapsack problem
  • multiple constrained problem]] could consider both the weight and volume of the boxes. <br />(Solution: if any number of each box is available, then three yellow boxes and three grey boxes; if only the shown boxes are available, then all except for the green box.)
  • A demonstration of the dynamic programming approach.

knapsack algorithm      
алгоритм решения задачи об укладке ранца, или рюкзака, рюкзачный алгоритм
algorithm         
  • Alan Turing's statue at [[Bletchley Park]]
  • The example-diagram of Euclid's algorithm from T.L. Heath (1908), with more detail added. Euclid does not go beyond a third measuring and gives no numerical examples. Nicomachus gives the example of 49 and 21: "I subtract the less from the greater; 28 is left; then again I subtract from this the same 21 (for this is possible); 7 is left; I subtract this from 21, 14 is left; from which I again subtract 7 (for this is possible); 7 is left, but 7 cannot be subtracted from 7." Heath comments that "The last phrase is curious, but the meaning of it is obvious enough, as also the meaning of the phrase about ending 'at one and the same number'."(Heath 1908:300).
  • "Inelegant" is a translation of Knuth's version of the algorithm with a subtraction-based remainder-loop replacing his use of division (or a "modulus" instruction). Derived from Knuth 1973:2–4. Depending on the two numbers "Inelegant" may compute the g.c.d. in fewer steps than "Elegant".
  • 1=IF test THEN GOTO step xxx}}, shown as diamond), the unconditional GOTO (rectangle), various assignment operators (rectangle), and HALT (rectangle). Nesting of these structures inside assignment-blocks results in complex diagrams (cf. Tausworthe 1977:100, 114).
  • A graphical expression of Euclid's algorithm to find the greatest common divisor for 1599 and 650
<syntaxhighlight lang="text" highlight="1,5">
 1599 = 650×2 + 299
 650 = 299×2 + 52
 299 = 52×5 + 39
 52 = 39×1 + 13
 39 = 13×3 + 0</syntaxhighlight>
SEQUENCE OF INSTRUCTIONS TO PERFORM A TASK
Algorithmically; Computer algorithm; Properties of algorithms; Algorithim; Algoritmi de Numero Indorum; Algoritmi de numero indorum; Algoritmi De Numero Indorum; Алгоритм; Algorithem; Software logic; Computer algorithms; Encoding Algorithm; Naive algorithm; Naïve algorithm; Algorithm design; Algorithm segment; Algorithmic problem; Algorythm; Rule set; Continuous algorithm; Algorithms; Software-based; Algorithmic method; Algorhthym; Algorthym; Algorhythms; Formalization of algorithms; Mathematical algorithm; Draft:GE8151 Problem Solving and Python Programming; Computational algorithms; Optimization algorithms; Algorithm classification; History of algorithms; Patented algorithms; Algorithmus
algorithm noun math. алгоритм algorithm validation - проверка правильности алгоритма
algorithmic method         
  • Alan Turing's statue at [[Bletchley Park]]
  • The example-diagram of Euclid's algorithm from T.L. Heath (1908), with more detail added. Euclid does not go beyond a third measuring and gives no numerical examples. Nicomachus gives the example of 49 and 21: "I subtract the less from the greater; 28 is left; then again I subtract from this the same 21 (for this is possible); 7 is left; I subtract this from 21, 14 is left; from which I again subtract 7 (for this is possible); 7 is left, but 7 cannot be subtracted from 7." Heath comments that "The last phrase is curious, but the meaning of it is obvious enough, as also the meaning of the phrase about ending 'at one and the same number'."(Heath 1908:300).
  • "Inelegant" is a translation of Knuth's version of the algorithm with a subtraction-based remainder-loop replacing his use of division (or a "modulus" instruction). Derived from Knuth 1973:2–4. Depending on the two numbers "Inelegant" may compute the g.c.d. in fewer steps than "Elegant".
  • 1=IF test THEN GOTO step xxx}}, shown as diamond), the unconditional GOTO (rectangle), various assignment operators (rectangle), and HALT (rectangle). Nesting of these structures inside assignment-blocks results in complex diagrams (cf. Tausworthe 1977:100, 114).
  • A graphical expression of Euclid's algorithm to find the greatest common divisor for 1599 and 650
<syntaxhighlight lang="text" highlight="1,5">
 1599 = 650×2 + 299
 650 = 299×2 + 52
 299 = 52×5 + 39
 52 = 39×1 + 13
 39 = 13×3 + 0</syntaxhighlight>
SEQUENCE OF INSTRUCTIONS TO PERFORM A TASK
Algorithmically; Computer algorithm; Properties of algorithms; Algorithim; Algoritmi de Numero Indorum; Algoritmi de numero indorum; Algoritmi De Numero Indorum; Алгоритм; Algorithem; Software logic; Computer algorithms; Encoding Algorithm; Naive algorithm; Naïve algorithm; Algorithm design; Algorithm segment; Algorithmic problem; Algorythm; Rule set; Continuous algorithm; Algorithms; Software-based; Algorithmic method; Algorhthym; Algorthym; Algorhythms; Formalization of algorithms; Mathematical algorithm; Draft:GE8151 Problem Solving and Python Programming; Computational algorithms; Optimization algorithms; Algorithm classification; History of algorithms; Patented algorithms; Algorithmus

математика

алгоритмический метод

Βικιπαίδεια

Knapsack problem

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 to include in the collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.

It derives its name from the problem faced by someone who is constrained by a fixed-size knapsack and must fill it with the most valuable items. The problem often arises in resource allocation where the decision-makers have to choose from a set of non-divisible projects or tasks under a fixed budget or time constraint, respectively.

The knapsack problem has been studied for more than a century, with early works dating as far back as 1897. The name "knapsack problem" dates back to the early works of the mathematician Tobias Dantzig (1884–1956), and refers to the commonplace problem of packing the most valuable or useful items without overloading the luggage.

Μετάφραση του &#39knapsack algorithm&#39 σε Ρωσικά