basic queueing theory
时间: 2023-10-31 12:28:28 浏览: 45
Queueing theory is a mathematical study of waiting lines or queues that arise in various real-life scenarios, such as customer service, traffic congestion, hospital emergency rooms, and telecommunications networks. Basic queueing theory involves the following concepts:
1. Arrival Process: This is the process of customers arriving at the queue. The arrival process can be modeled using different distributions, such as Poisson or exponential.
2. Service Process: This is the process of serving customers in the queue. The service process can also be modeled using different distributions, such as Poisson or exponential.
3. Queue Length: This is the number of customers waiting in the queue at any given time.
4. Queue Occupancy: This is the proportion of time that the server is busy serving customers.
5. System Capacity: This is the maximum number of customers that the system can handle at any given time.
6. Utilization: This is the proportion of time that the server is busy serving customers compared to the total time.
7. Waiting Time: This is the time that a customer spends waiting in the queue before being served.
8. Service Time: This is the time that a customer spends being served by the server.
9. Queueing Models: There are different queueing models that can be used to analyze queueing systems, such as the M/M/1 model, M/M/c model, M/G/1 model, and M/D/1 model.
10. Performance Measures: Different performance measures can be used to evaluate queueing systems, such as average waiting time, average queue length, and system throughput.