It's game-day at The Coliseum for the annual UCLA vs. USC football game.There are long lines as fans try to get in to cheer on their team. As you stand in line, you wonder if there is a more efficient way to move all of these people from outside to inside the stadium. The Premium Line only admits VIP Trojans. While in line the QR code is scanned and a security check is performed. After the security check the VIP receives a Trojan gift bag, program and pom-poms. The Premium Line is not exponentially distributed. The VIP then goes to the Service Desk where they receive autographs from various USC celebrities. After the autographs the VIP receives a complimentary beverage, Trojan hot dog and a large slice of pizza. The VIP then goes to lounge area to relax before the game.The Service Desk is not exponentially distributed. Overall the Premium Line and Service Desk is an awesome experience. Information about Premium Line and Service Desk are below: VIPs/hour who arrive in line: 6 Standard Deviation of interarrival time: 4 Average service time at food/autograph desk: 12 Standard deviation of service time: 8 # of autograph signers: 4 Calculate average flow time in system(T) round to 2 decimal points
It's game-day at The Coliseum for the annual UCLA vs. USC football game.There are long lines as fans try to get in to cheer on their team. As you stand in line, you wonder if there is a more efficient way to move all of these people from outside to inside the stadium.
The Premium Line only admits VIP Trojans. While in line the QR code is scanned and a security check is performed. After the security check the VIP receives a Trojan gift bag, program and pom-poms. The Premium Line is not exponentially distributed.
The VIP then goes to the Service Desk where they receive autographs from various USC celebrities. After the autographs the VIP receives a complimentary beverage, Trojan hot dog and a large slice of pizza. The VIP then goes to lounge area to relax before the game.The Service Desk is not exponentially distributed.
Overall the Premium Line and Service Desk is an awesome experience.
Information about Premium Line and Service Desk are below:
VIPs/hour who arrive in line: 6
Standard Deviation of interarrival time: 4
Average service time at food/autograph desk: 12
Standard deviation of service time: 8
# of autograph signers: 4
Calculate average flow time in system(T) round to 2 decimal points
Queuing theory Is about the mathematical study of of waiting lines, or queues. Variability can cause long waiting times.
Variability in queue can be found in:
– Arrival process
–service times
–resources; Absent, or broken servers.
– Types of customers; Priority vs regular customers.
–customer behaviour; Wait more or abandon queue
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