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125 questions found

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System design · Numerical Answer
Difficulty: Medium
Assume one server processes at most 21 jobs per second. Jobs arrive at 5 per second. What is arrival rate divided by service rate? Tolerance: 0.0001.
UtilizationQueue capacity
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System design · Numerical Answer
Difficulty: Medium

A stable system averages 20 arrivals per second and 0.30 seconds per item in the system. By Little’s law, what is the average number of items? Enter a number within 0.001.

Little's lawQueueing

System design · Numerical Answer

Difficulty: Medium

A cache serves 74% of requests in 3 ms; the remaining requests take 22 ms total. What is the mean request latency in ms? Tolerance: 0.001.

CachingExpected latency

System design · Numerical Answer

Difficulty: Medium

Assume one server processes at most 22 jobs per second. Jobs arrive at 6 per second. What is arrival rate divided by service rate? Tolerance: 0.0001.

UtilizationQueue capacity

System design · Numerical Answer

Difficulty: Medium

A stable system averages 24 arrivals per second and 0.35 seconds per item in the system. By Little’s law, what is the average number of items? Enter a number within 0.001.

Little's lawQueueing

System design · Numerical Answer

Difficulty: Medium

A cache serves 76% of requests in 1 ms; the remaining requests take 23 ms total. What is the mean request latency in ms? Tolerance: 0.001.

CachingExpected latency

System design · Numerical Answer

Difficulty: Medium

Assume one server processes at most 23 jobs per second. Jobs arrive at 7 per second. What is arrival rate divided by service rate? Tolerance: 0.0001.

UtilizationQueue capacity

System design · Numerical Answer

Difficulty: Medium

A stable system averages 28 arrivals per second and 0.40 seconds per item in the system. By Little’s law, what is the average number of items? Enter a number within 0.001.

Little's lawQueueing

System design · Numerical Answer

Difficulty: Medium

A cache serves 78% of requests in 2 ms; the remaining requests take 24 ms total. What is the mean request latency in ms? Tolerance: 0.001.

CachingExpected latency

System design · Numerical Answer

Difficulty: Medium

Assume one server processes at most 24 jobs per second. Jobs arrive at 8 per second. What is arrival rate divided by service rate? Tolerance: 0.0001.

UtilizationQueue capacity

System design · Numerical Answer

Difficulty: Medium

A stable system averages 32 arrivals per second and 0.45 seconds per item in the system. By Little’s law, what is the average number of items? Enter a number within 0.001.

Little's lawQueueing

System design · Numerical Answer

Difficulty: Medium

A cache serves 80% of requests in 3 ms; the remaining requests take 25 ms total. What is the mean request latency in ms? Tolerance: 0.001.

CachingExpected latency

System design · Numerical Answer

Difficulty: Medium

Assume one server processes at most 25 jobs per second. Jobs arrive at 9 per second. What is arrival rate divided by service rate? Tolerance: 0.0001.

UtilizationQueue capacity

System design · Numerical Answer

Difficulty: Medium

A stable system averages 36 arrivals per second and 0.50 seconds per item in the system. By Little’s law, what is the average number of items? Enter a number within 0.001.

Little's lawQueueing

System design · Numerical Answer

Difficulty: Medium

A cache serves 82% of requests in 1 ms; the remaining requests take 26 ms total. What is the mean request latency in ms? Tolerance: 0.001.

CachingExpected latency

System design · Numerical Answer

Difficulty: Medium

Assume one server processes at most 26 jobs per second. Jobs arrive at 10 per second. What is arrival rate divided by service rate? Tolerance: 0.0001.

UtilizationQueue capacity

System design · Numerical Answer

Difficulty: Medium

A stable system averages 40 arrivals per second and 0.55 seconds per item in the system. By Little’s law, what is the average number of items? Enter a number within 0.001.

Little's lawQueueing

System design · Numerical Answer

Difficulty: Medium

A cache serves 84% of requests in 2 ms; the remaining requests take 27 ms total. What is the mean request latency in ms? Tolerance: 0.001.

CachingExpected latency

System design · Numerical Answer

Difficulty: Medium

Assume one server processes at most 27 jobs per second. Jobs arrive at 11 per second. What is arrival rate divided by service rate? Tolerance: 0.0001.

UtilizationQueue capacity

System design · Numerical Answer

Difficulty: Medium

A stable system averages 44 arrivals per second and 0.60 seconds per item in the system. By Little’s law, what is the average number of items? Enter a number within 0.001.

Little's lawQueueing

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