math & informatics teacher
requestFlow = [
[5, 2, 1, 7, 6, 5, 3, 4, 5, 1],
[6, 3, 7, 5, 8, 6, 1, 7, 6, 8],
[8, 4, 5, 3, 3, 3, 4, 5, 7, 4],
[9, 6, 8, 8, 1, 5, 6, 5, 8, 6],
[3, 7, 3, 5, 1, 1, 7, 3, 2, 4],
[2, 3, 2, 4, 3, 2, 8, 2, 4, 3],
[6, 6, 4, 4, 5, 3, 2, 1, 5, 2],
[6, 8, 6, 3, 7, 6, 4, 1, 6, 5],
[1, 9, 7, 2, 8, 7, 6, 1, 2, 7]
]
days = requestFlow[0].length
hoursPerDay = requestFlow.length
sum = requestFlow.flat().reduce((a, b) => a + b, 0)
Всего ${sum} заявок за ${days} дней (по ${hoursPerDay} часов в день).
requestFlowIntensity = sum / (days * hoursPerDay)
Интенсивность потока заявок λ ≈ ${requestFlowIntensity.toFixed(2)}
frequency = FileAttachment("freq.csv").csv({ typed: true })
frequencies = frequency.map((f) => {
const a = f["Интервал времени обслуживания (min)"];
const b = f["Интервал времени обслуживания (max)"];
const middle = (b + a) / 2;
f["Интервал"] = `${a} — ${b}`;
return {
"Номер интервала": "" + f["Номер интервала"],
Интервал: f["Интервал"],
"Середина интервала": middle,
Частота: f["Частота"],
"Середина интервала × Частота": middle * f["Частота"]
};
})
Inputs.table(frequencies)
productsSum = frequencies.reduce(
(a, b) => a + b["Середина интервала × Частота"],
0
)
Сумма произведений середин интервалов на их частоты: ${productsSum}
frequenciesSum = frequencies.reduce((a, b) => a + b["Частота"], 0)
Сумма частот: ${frequenciesSum}
serviceMeantime = productsSum / frequenciesSum
Среднее время облуживания t ≈ ${serviceMeantime.toFixed(1)}
serviceIntensity = 1 / serviceMeantime
Интенсивность облуживания μ ≈ ${serviceIntensity.toFixed(3)}
loadIntensity = requestFlowIntensity / serviceIntensity
Интенсивность нагрузки ρ ≈ ${loadIntensity.toFixed(2)}
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