配列にプッシュするのに最適な時間を決定する最も良い方法は？

私は、可能な限り最良のミーティング・スロットをどのように実現するかについて、アドバイスを探しています。生徒会合が重複せず、あまり遠く離れていないように。私は推奨時間を練習しようとしているので、親が待つことがないように予約するのに最適なスロットを見ることができます。配列にプッシュするのに最適な時間を決定する最も良い方法は？

例えば、それがどのように動作するかを：

親1：

Child 1 and Child 2

ミーティング1：

Slot `2016-10-07 14:00:00` (free)(duration 10mins)(Child 1) 
Slot `2016-10-07 14:10:00` (free)(duration 10mins)(Child 2) 
Slot `2016-10-07 14:20:00` (free)(duration 10mins)

会議2：

Slot `2016-10-07 14:15:00` (free)(duration 5mins) 
Slot `2016-10-07 14:20:00` (free)(duration 5mins)(Child 1) 
Slot `2016-10-07 14:25:00` (free)(duration 5mins)(Child 2)

ミーティング3：

Slot `2016-10-07 14:10:00` (free)(duration 10mins) 
Slot `2016-10-07 14:20:00` (free)(duration 10mins) 
Slot `2016-10-07 14:30:00` (free)(duration 10mins)(Child 1) 
Slot `2016-10-07 14:40:00` (free)(duration 10mins)(Child 2)

時刻がまだ配列に格納されていないことを確認し、時刻が既に格納されている場合は、次の時刻をチェックして時刻が他の時刻に収まるかどうかを確認します期間に基づいて？

私のデータを使用する必要はありません。その例は役に立つと思われます。前もって感謝します。

生徒：：、プッシュスロット時間を生徒とロードされた会議のスロットを使用して

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      [slot_id] => 31305 
      [grade_id] => 87 
      [startTime] => 2016-10-07 14:00:00 
      [endTime] => 2016-10-07 14:10:00 
     ) 

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      [grade_id] => -1 
      [startTime] => 2016-10-07 14:30:00 
      [endTime] => 2016-10-07 14:40:00 
     ) 
)

：無料ですべての会議のスロットをロード

Array 
(
    [0] => pupil Object (
      [id] => 48307 
      [school_id] => 1 
      [grade_id] => 87 
      [firstname] => Callum 
      [surname] => Lacey 
      [gender] => M 
      [username] => callum 
      [password] => callum 
      [avatar] => 003_large.gif 
      [uuid] => 
      [active] => 1 
      [deleted] => 0 
      [inserted] => 2015-09-14 10:57:29 
      [updated] => 2016-09-15 13:09:07 
      [login] => 2016-09-26 15:07:15 
     ) 

    [1] => pupil Object (
      [id] => 79571 
      [school_id] => 1 
      [grade_id] => 87 
      [firstname] => Daniel 
      [surname] => Lacey 
      [gender] => M 
      [username] => daniellacey 
      [password] => password123 
      [avatar] => 003_large.gif 
      [uuid] => 
      [active] => 1 
      [deleted] => 0 
      [inserted] => 2016-07-06 10:51:26 
      [updated] => 2016-09-15 12:23:53 
      [login] => 2016-09-23 13:09:28 
     ) 
)

を私がこれまで持って

データ各生徒と会合のための会合：

出典

2016-10-18 Chris Beckett

を私はあなたがここに本当の名前とパスワードを掲示していない願っています笑エドモンド・リード@ –

いや、それはですテストデータ：） –