Whether the queue is reasonable can be considered from the following aspects:
1. The queue length refers to the number of customers in the system, and its expected value is recorded as ls;
Queue length refers to the number of customers waiting in line for service in the system, and its expected value is recorded as Lq.
[Number of customers in the system] = [Number of customers waiting for service in the queue]+[Number of customers served]
Generally speaking, the larger the Ls (or Lq), the lower the service rate, and the customers are most annoyed by queuing.
2. Stay time refers to the customer's stay time in the system, and its expected value is recorded as Ws.
Waiting time refers to the time that customers wait in line in the system, and its expected value is recorded as Wq.
[residence time] = [waiting time]+[service time]
On the problem of machine failure, whether waiting for maintenance or under maintenance, the factory will suffer the loss of shutdown. Therefore, the residence time (downtime) is dominant; But in general shopping, medical treatment and other issues, just waiting time is often what customers care about.
3. Busy period refers to the length of time from the time when the customer arrives at the idle service organization to the time when the service organization is idle again, that is, the continuous busy time of the service organization, which is related to the work intensity of the waiter. Both the busy period and the average number of customers who completed the service during the busy period are indicators to measure the efficiency of service organizations.