Customers arrive into a queue, where they are served, and then depart. We model the time between two successive arrivals by an exponential distribution with an arrival rate l=9. Similarly, the departure times are modeled by an exponential distribution with a departure rate m=10. Find the average number of customers in the queue.
Solution Summary
An appropriate exponenial mdel is used to solve a queueing problem. The solution is detailed and well presented.
... y: time it takes to resolve one individual z: rate that the customers should be added w: maximum number of customers allowed to attempt to enter the queue. ...
... Average arrival rate= 10 Customers/hr Average Service rate=12 Customers/hr. Average waiting time in a queue=Arrival rate/service rate*(service rate-arrival rate ...
... When the queues are equal length, there is a 50-50 chance the driver ... 3-2) or 1, When customer 2 arrives there is no other customer in the queue, then queue...
Queues: Zimmerman's Bank, Paul Harrold's Styling Shop. ... system 1.5000 Wq, expected time in queue 0.0900 W ... system 0.1567 Probability that a customer waits 0.6000 ...
... in queue = 0.6251 (1 − 0.625) = 0.2343 Probability of one or more large volume customers in queue = 1 0.375 0.2343 = 0.3907 or 39.07% For copier C3 ...
... to satisfy the president's criteria for average waiting time in the queue (ie, 5 minutes) and average length of the queue (ie, two customers in the queue). ...
... McDonalds strategy to manage queues is quite effective as with this queue system it is able to serve more customers in less time and with this speedy service ...
... The solution determines the waiting time in the queue to improve fast food service. ... The consultant noticed that on average, 45 customers come per hour. ...
