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Queuing Theory Introduction

 

Queuing systems are prevalent throughout society. The formation df waiting lines is a common phenomenon which occurs whenever the current demand for a service exceeds the current capacity to provide that service. Commuters waiting to board a bus, cars waiting at signals, machines waiting to be serviced by a repairman, letters waiting to be typed by a typist, depositors waiting to deposit the money to a counter in a bank provide some examples of queues. There are applications of queueing theory in several disciplines. A schematic diagram of a queuing system is given below :

Fig. 5.1 The basic queuing system

 

 

Queuing systems are prevalent throughout society. The formation df waiting lines is a common phenomenon which occurs whenever the current demand for a service exceeds the current capacity to provide that service. Commuters waiting to board a bus, cars waiting at signals, machines waiting to be serviced by a repairman, letters waiting to be typed by a typist, depositors waiting to deposit the money to a counter in a bank provide some examples of queues. There are applications of queueing theory in several disciplines. A schematic diagram of a queuing system is given below :

 

 

 

Calling                                     Queue                                      Service                                    Served

Population                                                                               facility                         customers

 

Fig. 5.1 The basic queuing system