Search results
Results from the WOW.Com Content Network
In queueing theory, a discipline within the mathematical theory of probability, the M/M/c queue (or Erlang–C model [1]: 495 ) is a multi-server queueing model. [2] In Kendall's notation it describes a system where arrivals form a single queue and are governed by a Poisson process, there are c servers, and job service times are exponentially distributed. [3]
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 ...
The Queuing Rule of Thumb (QROT) is a mathematical formula known as the queuing constraint equation when it is used to find an approximation of servers required to service a queue. The formula is written as an inequality relating the number of servers (s), total number of service requestors (N), service time (r), and the maximum time to empty ...
It has since been extended to A/S/c/K/N/D where K is the capacity of the queue, N is the size of the population of jobs to be served, and D is the queueing discipline. [ 2 ] [ 3 ] [ 4 ] When the final three parameters are not specified (e.g. M/M/1 queue ), it is assumed K = ∞, N = ∞ and D = FIFO .
The model name is written in Kendall's notation. The model is the most elementary of queueing models [1] and an attractive object of study as closed-form expressions can be obtained for many metrics of interest in this model. An extension of this model with more than one server is the M/M/c queue.
In queueing theory, a discipline within the mathematical theory of probability, a Markovian arrival process (MAP or MArP [1]) is a mathematical model for the time between job arrivals to a system. The simplest such process is a Poisson process where the time between each arrival is exponentially distributed .
In queueing theory, a discipline within the mathematical theory of probability, a Jackson network (sometimes Jacksonian network [1]) is a class of queueing network where the equilibrium distribution is particularly simple to compute as the network has a product-form solution.
In queueing theory, a discipline within the mathematical theory of probability, an M/G/1 queue is a queue model where arrivals are Markovian (modulated by a Poisson process), service times have a General distribution and there is a single server. [1]