Below you will find example sentences with "optimal solution". The examples show how this phrase is used in natural context and which words often surround it.

Optimal Solution in a sentence

Corpus data

  • Displayed example sentences: 20
  • Discovered as a combination around: solution
  • Corpus frequency in the collocation scan: 7
  • Phrase length: 2 words
  • Average sentence length: 26 words

Words in this phrase

optimal solution

Meanings of words in this phrase

  • optimal can mean: The best, most favourable or desirable, especially under some restriction. Less frequent word
  • solution can mean: A homogeneous mixture, which may be liquid, gas or solid, formed by dissolving one or more substances. Frequent word

Sentence profile

  • Phrase position: 2 start, 8 middle, 10 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Usage patterns

These patterns show short text windows around the phrase in the example sentences:

a near optimal solution method 1× as an optimal solution for states 1× be the optimal solution 1× find an optimal solution 1× find the optimal solution 1× find the optimal solution in each 1× finding the optimal solution to complex 1× for an optimal solution a good 1×

Sentence openings and endings

Common sentence openings:

as noted above 1× as the algorithm 1× because as put 1× complementary slackness it 1× finding the optimal 1× for many years 1×

Common sentence endings:

the optimal solution 5× an optimal solution 1× complementary slackness theorem 1× disks and pegs 1× fitness function evaluations 1× had been tried 1×

Context words

These words often appear near this phrase in the example sentences:

find 6× solutions 4× known 3× algorithm 3× problems 3× integral 3× problem 2× recursive 2× disks 2× complementary 2× slackness 2× obtain 2×

Related phrases

solution provider lasting solution

Phrases around this combination

Just before it in the phrase index:

opposition party opposition parties opposition mps opposition leaders opposition leader opposite sides

Just after it in the phrase index:

oral arguments oral tradition orange bowl orange county orange high orange juice

Other phrases with the same pattern

Same ending:

lasting solution

Corpus analysis

  • The phrase "optimal solution" has 2 words and usually appears near the end in these examples. The average sentence has 26 words and is mostly made up of statements.
  • Around this phrase, patterns and context words such as a near optimal solution method, as an optimal solution for states, find, solutions and known stand out.
  • In the phrase index, this combination connects with solution provider and lasting solution, linking the page to nearby combinations.

Example types with optimal solution

This selection groups the examples by length and sentence type, making usage of the full phrase easier to scan:

Short example sentences

To obtain a ranked list of less-than-optimal solutions, the optimal solution is first calculated. (16 words)

His algorithm given in 1976, at worst is 1.5 times longer than the optimal solution. (16 words)

In principle, if run for an infinite amount of time, they will find the optimal solution. (16 words)

Longer example sentences

Because as put by Estonia's fiscal chief for the bureaucracy so to speak, undersecretary Sven Kirsipuu, there have been few such exercises in the world – taking the budget apart service by service and trying to find an optimal solution. (40 words)

The sequence of these unique moves is an optimal solution to the problem equivalent to the iterative solution described above. citation Recursive solution Illustration of a recursive solution for the Towers of Hanoi puzzle with 4 disks. (37 words)

For many years Lin–Kernighan–Johnson had identified optimal solutions for all TSPs where an optimal solution was known and had identified the best known solutions for all other TSPs on which the method had been tried. (37 words)

Example sentences (20)

The sequence of these unique moves is an optimal solution to the problem equivalent to the iterative solution described above. citation Recursive solution Illustration of a recursive solution for the Towers of Hanoi puzzle with 4 disks.

Complementary slackness It is possible to obtain an optimal solution to the dual when only an optimal solution to the primal is known using the complementary slackness theorem.

For many years Lin–Kernighan–Johnson had identified optimal solutions for all TSPs where an optimal solution was known and had identified the best known solutions for all other TSPs on which the method had been tried.

To obtain a ranked list of less-than-optimal solutions, the optimal solution is first calculated.

However, in practical uses, instead of spending computational resources looking for an optimal solution, a good enough (but potentially suboptimal) solution may often be found in polynomial time.

The cost function is an important concept in learning, as it is a measure of how far away a particular solution is from an optimal solution to the problem to be solved.

Their merit is that they can find a solution very close to the optimal solution in a relatively short time.

This restriction then means that an algorithm can find a solution in polynomial time that is correct within a factor of (1-ε) of the optimal solution.

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Because as put by Estonia's fiscal chief for the bureaucracy so to speak, undersecretary Sven Kirsipuu, there have been few such exercises in the world – taking the budget apart service by service and trying to find an optimal solution.

I know there are intrinsic problems with playing old consoles on modern TVs but I wondered what the optimal solution is.

In such circumstances, giving a bidder money to take over Air India is the optimal solution; in other words, the privatisation program must build in the possibility of negative bids.

As noted above, vigorous protecting of active nesting grounds from cats by traps, poison and supplemented by shooting while otherwise leaving them alone to hunt rats may well be the optimal solution.

As the algorithm was so simple and quick, many hoped it would give way to a near optimal solution method.

Even in the case of more than four pegs there are simple but slow algorithms that find the optimal solution in each particular case of a certain number of disks and pegs.

Finding the optimal solution to complex high-dimensional, multimodal problems often requires very expensive fitness function evaluations.

His algorithm given in 1976, at worst is 1.5 times longer than the optimal solution.

In principle, if run for an infinite amount of time, they will find the optimal solution.

Integral linear programs A linear program in real variables is said to be integral if it has at least one optimal solution which is integral.

It is often perceived as an optimal solution for states comprising different cultural or ethnic communities.

Modern methods can find solutions for extremely large problems (millions of cities) within a reasonable time which are with a high probability just 2–3% away from the optimal solution.

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