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However, at the influx peak, the server had thousands of players waiting in queue. [11] The queue gave earlier 2b2t players priority over newer players, [3] although this feature was removed after a year. [12] The regular queue moves slowly and can contain over a thousand players. [2] Waiting in the queue has been described as an onerous task ...
Queueing theory is the mathematical study of waiting lines, or queues. [1] A queueing model is constructed so that queue lengths and waiting time can be predicted. [1] Queueing theory is generally considered a branch of operations research because the results are often used when making business decisions about the resources needed to provide a ...
Virtual queue is a concept used in both inbound call centers and other businesses to improve wait times for users. Call centers use an Automatic Call Distributor (ACD) to distribute incoming calls to specific resources (agents) in the center.
That is, if there is a sorting algorithm which can sort in O(S) time per key, where S is some function of n and word size, [22] then one can use the given procedure to create a priority queue where pulling the highest-priority element is O(1) time, and inserting new elements (and deleting elements) is O(S) time.
Processes in lower-priority queues are selected only when all of the higher-priority queues are empty. Waiting time and response time depend on the priority of the process. Higher-priority processes have smaller waiting and response times. Deadlines can be met by giving processes with deadlines a higher priority.
Earliest deadline first (EDF) or least time to go is a dynamic priority scheduling algorithm used in real-time operating systems to place processes in a priority queue. Whenever a scheduling event occurs (task finishes, new task released, etc.) the queue will be searched for the process closest to its deadline.
Low-latency queuing (LLQ) is a network scheduling feature developed by Cisco to bring strict priority queuing (PQ) to class-based weighted fair queuing (CBWFQ). LLQ allows delay-sensitive data (such as voice) to be given preferential treatment over other traffic by letting the data to be dequeued and sent first.
Kingman's approximation states: () (+)where () is the mean waiting time, τ is the mean service time (i.e. μ = 1/τ is the service rate), λ is the mean arrival rate, ρ = λ/μ is the utilization, c a is the coefficient of variation for arrivals (that is the standard deviation of arrival times divided by the mean arrival time) and c s is the coefficient of variation for service times.