What is que?

Queuing theory is the mathematical study of waiting lines, or queues. It provides a framework for analyzing and optimizing systems where customers (or jobs, tasks, etc.) arrive, wait in a queue, and receive service. It's valuable for understanding system performance, identifying bottlenecks, and making informed decisions about resource allocation.

Key concepts in queuing theory include:

  • Arrival Process: Describes how customers enter the system. This often involves parameters like the arrival rate (λ), which represents the average number of customers arriving per unit of time. See: Arrival%20Process
  • Service Process: Defines the time it takes to serve a customer. This is often described by the service rate (μ), representing the average number of customers served per unit of time. See: Service%20Process
  • Queue Discipline: Specifies the order in which customers are served. Common disciplines include First-Come, First-Served (FCFS), Last-Come, First-Served (LCFS), and Priority. See: Queue%20Discipline
  • Queue Length: The number of customers waiting in the queue. See: Queue%20Length
  • Waiting Time: The time a customer spends waiting in the queue before receiving service. See: Waiting%20Time
  • System Time: The total time a customer spends in the system, including both waiting and service time. See: System%20Time
  • Number of Servers: The number of servers available to serve customers. See: Number%20of%20Servers

Queuing theory is applied in various fields, including telecommunications, computer networks, manufacturing, transportation, healthcare, and service industries. It's used to optimize processes, reduce waiting times, and improve overall system efficiency. Common metrics analyzed using queuing theory include average queue length, average waiting time, and system utilization.