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TUGAS RISET OPERASI SISTEM ANTRIAN

TUGAS RISET OPERASI SISTEM ANTRIAN. kelompok 5: Ulfalina Hapsari (105090500111011) Ika wati (105090501111015) Arista Febry (105090507111001) Deva Rizky yuniana (105090513111003) Nur Mahmudah (105090513111005).

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TUGAS RISET OPERASI SISTEM ANTRIAN

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  1. TUGAS RISET OPERASISISTEM ANTRIAN kelompok 5: • UlfalinaHapsari (105090500111011) • Ikawati (105090501111015) • AristaFebry (105090507111001) • DevaRizkyyuniana (105090513111003) • NurMahmudah (105090513111005)

  2. Each airline passenger and his or luggage must be checked to determine whether he or she is carrying weapons onto the airplane. Suppose that at Gotham city, an average of 10 passengers per minute arrive (interarrival times are exponential). To check passengers for weapons. The airport must have a checkpoint consisting of metal detector and baggage X-ray machine. Whenever a checkpoint is ini operation. Two employees are required. A checkpoint can check an average of 12 passengers per minute (time ti check a passenger is exponential). Under the assumption that the airport has only one checkpoint. Answer the following questions:

  3. what is the probability that a passenger will have to wait before being checked for weapons? • On the average how many passengers are waiting in line to enter the checkpoint? • On the average, how long will a passenger spend at the checkpoint?

  4. jawab • Diketahui • Gotham City Airport mempunyai checkpoint yang terdiridarisebuahdetektor metal danmesinsinar X untukbagasi. • Asumsibahwabandarainihanyamemiliki 1 checkpoint dansetiappengoperasian / pelayananpada checkpoint terdapat 2 petugas. M/M/1  ( lajukedatangan) = 10 orang / menit , sebaranwaktukedatanganadalaheksponensial  (lajupelayanan ) = 12 orang / menit, sebaranwaktupelayananadalaheksponensial  < 

  5. a. Jadipeluangbahwaseorangpenumpangharusmenuggusebelummenuju checkpoint adalah 5/6 atau 0.833 b. Rata-rata banyaknyapenumpangpesawat yang menunggupadaantriansebelummasukke check point adalah 4 orang c.

  6. Rata-rata waktuseorangpenumpangmenghabiskanwaktudi checkpoint adalah 1/12 menitatau 5 detik

  7. Allah Hafiz ( SAMPAI JUMPA )

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