During the evening busy period, passengers of Southwest Airlines at JFK Internat

Question

During the evening busy period, passengers of Southwest Airlines at JFK International Airport arrive at a rate of 71 per hour and an agent can serve 26 passengers per hour. The check-in queue system the airline follows is illustrated below: Back Multiple Channel Waiti ng Line Model 71 Armival ra te Service rate 26 Increment Interarrival Time Increment - 1/ = 0.1 0.1 0.0385 1/70.0141 Service time Number of servers (max 12) System Utiliza tion Proba bility system is empty Proba bility amival must wait Average number in line Average number in system Average time in line Average time in system Average waiting time 0.3901 0.0650 0.0240 0.0153 2.7461 0.0002 0.0387 0.0090 = 0.9103 P0.0221 Pw= 0.8353 0.6827 0.0551 0.4022 lg=| 8.4719 | 0.8653 0.5462 0.0627 0.1747 0.2103 2.9410 0.0030 0.0414 0.0169 0.4551 0.0645 0.0682 0.0570 2.7878 0.0008 0.0393 0.0118 0.3413 0.0651 0.0076 0.0039 2.7347 0.0001 0.0385 0.0073 L11.20263.5961 Wa-0.1193 W,-| 0.1 578 Wa= 0.1429 0.0122 0.0506 0.0303 0.15 0.10 0.05 100% 60% 40% 3 0.00 096 Num berof servers Num berof servers

Explanation / Answer

1) The servers in this queuing problem are - Agents at all the counters at the JFK airport

2) The customers in this queuing problem are - only the United Airlines passengers at the JFK airport

3) The calling population could be best described as - Finite

4) The arrival and service patterns for this queuing situation can be best described as - Variable arrival rate, variable service rate

5) The appropriate queuing model for this problem - Multiple channel, exponential service time

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