twitterで見つけた稼働率の問題のシミュレーション

こういう問題って、特に情報系の知識がなくとも初見で解けてしまう人と、きちんと説明されないと解けない人に分かれるんじゃないかと思うんですよね。
仮に分かれるとしたら、それは何の差なんだろうか。論理力？高校数学か物理？センス？ pic.twitter.com/4Qhuk5MAR8

— 谷本心 / CERO-METAL (@cero_t) August 14, 2019

'use strict';

const p = console.log;

const square = (n) => Math.pow(n, 2);

// 0.0 - 1.0 の確率でtrue/falseを返す
const probabilityOf = (r) => Math.random() < r;

// 正常に稼働しているときtrue
const circuit = (R) => {
  const run = () => probabilityOf(R);
  const clu = run;
  const cld = run;
  const cru = run;
  const crd = run;
  return (clu() || cld()) && (cru() || crd());
};

const circuitAnalytic = (R) => {
  return square(1 - square(1 - R));
};

const testCircuitAvailability = (circuit, times) => {
  let cnt = 0;
  for (let i = 0; i < times; i++) {
    if (circuit()) {
      cnt++;
    }
  }
  return cnt / times;
};

const main = () => {
  const times = 1000000;
  const R = 0.8;
  const availability = testCircuitAvailability(() => circuit(R), times);
  const availabilityAnalytic = circuitAnalytic(R);

  p('可用性(計算解) : ' + availability);
  p('可用性(解析解) : ' + availabilityAnalytic);
};

main();

'use strict';

const p = console.log;

const square = (n) => Math.pow(n, 2);

// 0.0 - 1.0 の確率でtrue/falseを返す

const probabilityOf = (r) => Math.random() < r;

// 正常に稼働しているときtrue

const circuit = (R) => {

const run = () => probabilityOf(R);

const clu = run;

const cld = run;

const cru = run;

const crd = run;

return (clu() || cld()) && (cru() || crd());

};

const circuitAnalytic = (R) => {

return square(1 - square(1 - R));

};

const testCircuitAvailability = (circuit, times) => {

let cnt = 0;

for (let i = 0; i < times; i++) {

if (circuit()) {

cnt++;

}

return cnt / times;

};

const main = () => {

const times = 1000000;

const R = 0.8;

const availability = testCircuitAvailability(() => circuit(R), times);

const availabilityAnalytic = circuitAnalytic(R);

p('可用性(計算解) : ' + availability);

p('可用性(解析解) : ' + availabilityAnalytic);

};

main();

可用性(計算解) : 0.921598
可用性(解析解) : 0.9216

1 2	可用性(計算解) : 0.921598 可用性(解析解) : 0.9216

'use strict';

// 7.3なら8こドットを打ったラインを返す
const getDotLineByNum = (num) => {
  let line = '';
  for (let i = 0; i < num; i++) {
    line += '.';
  }
  return line;
};

// 0から1の間の数値が入った配列をグラフ化する
const dispGraph = (nums) => {
  // 配列初期化
  const a = [];
  for (let i = 0; i < 10; i++) {
    a[i] = 0;
  }
  // 割り振り
  for (const num of nums) {
    // ガード
    if (num < 0 || 10 <= num) {
      continue;
    }
    // 登録
    const idx = Math.floor(num * 10);
    a[idx]++;
  }
  // 表示
  for (let i = 0; i < a.length; i++) {
    const e = a[i];
    const line = getDotLineByNum(e / 10);
    console.log(i + ' => ' + line);
  }
};

const main = () => {
  const times = 10000;
  const nums = [];
  for (let i = 0; i < times; i++) {
    const n = Math.random();
    nums.push(n);
  }
  dispGraph(nums);
};

main();

'use strict';

// 7.3なら8こドットを打ったラインを返す

const getDotLineByNum = (num) => {

let line = '';

for (let i = 0; i < num; i++) {

line += '.';

}

return line;

};

// 0から1の間の数値が入った配列をグラフ化する

const dispGraph = (nums) => {

// 配列初期化

const a = [];

for (let i = 0; i < 10; i++) {

a[i] = 0;

}

// 割り振り

for (const num of nums) {

// ガード

if (num < 0 || 10 <= num) {

continue;

}

// 登録

const idx = Math.floor(num * 10);

a[idx]++;

}

// 表示

for (let i = 0; i < a.length; i++) {

const e = a[i];

const line = getDotLineByNum(e / 10);

console.log(i + ' => ' + line);

}

};

const main = () => {

const times = 10000;

const nums = [];

for (let i = 0; i < times; i++) {

const n = Math.random();

nums.push(n);

}

dispGraph(nums);

};

main();

0 => ....................................................................................................
1 => ......................................................................................................
2 => ...................................................................................................
3 => ...................................................................................................
4 => ........................................................................................................
5 => .......................................................................................................
6 => ........................................................................................................
7 => ..............................................................................................
8 => .....................................................................................................
9 => ...................................................................................................

0 => ....................................................................................................

1 => ......................................................................................................

2 => ...................................................................................................

3 => ...................................................................................................

4 => ........................................................................................................

5 => .......................................................................................................

6 => ........................................................................................................

7 => ..............................................................................................

8 => .....................................................................................................

9 => ...................................................................................................

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twitterで見つけた稼働率の問題のシミュレーション

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