Statistics II20795 marksNumerical: queuing theory M/M/1M/M/1 system
What are the basic concepts of queuing theory? In a super market, the average arrivals rate of customer is 10 per every 30 minutes following Poisson process. The average time taken by the cashier to list and calculate the customers purchase is 2.5 minutes following exponential distribution. What is
What are the basic concepts of queuing theory? In a super market, the average arrivals rate of customer is 10 per every 30 minutes following Poisson process. The average time taken by the cashier to list and calculate the customers purchase is 2.5 minutes following exponential distribution. What is the probability that queue length exceeds 6? What is the expected time spent by customer in the system? [5]
- Arrival: 10 customers per 30 minutes (Poisson process) - Service time: 2.5 minutes per customer (exponential distribution) - Find: $P(\text{queue length} 6)$ and expected time in system $W$ --- Queuing theory is the mathematical study of waiting lines. A queuing system consists of customers arr...