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Arrival Process or Patterns | Elements of Queuing System | BSc.CSIT | Fifth Semester

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arrival processArrival Patterns or Process
Simulation and Modeling Reference Notes
Fifth Semester | Third year
BSc.CSIT | Tribhuvan University (TU)

Arrival Process or Patterns
Any queuing system must work on something − customers, parts, patients, orders, etc. We generally called them as entities or customers. Before entities can be processed or subjected to waiting, they must first enter the system. Depending on the environment, entities can arrive smoothly or in an unpredictable fashion. They can arrive one at a time or in clumps (e.g., bus loads or batches). They can arrive independently or according to some kind of correlation.

A special arrival process, which is highly useful for modeling purposes, is the Markov arrival process. Both of these names refer to the situation where entities arrive one at a time and the times between arrivals are exponential random variables. This type of arrival process is memory less, which means that the likelihood of an arrival within the next t minutes is the same no matter how long it has been since the last arrival.

Examples where this occurs are phone calls arriving at an exchange, customers arriving at a fast food restaurant, hits on a web site, and many others.

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