Queueing Theory
Queueing theory is used in service oriented organization, machine repair shop, in case of semifinished products waiting for finishing operation.
The main objective is to maintain the capability for service at levels sufficient to keep the waiting time to certain acceptable average levels.
Characteristic of Queueing Theory Model
Arrival Pattern of Clients
In most of the cases random arrival is observed which is best described by Poisson’s process. If the arrivals are governed by Poisson’s process then the time between arrivals is exponentially distributed.
Service Discipline
It tells about the ways in which the customers are being served in the system.
- First come first serve
- Last in, first out
- Service in random order
Number of Servers and Service Channels
- Single channel, single server
- Single channel, multiple server
- Multiple channel, single server
- Multiple channel, multiple server
Service Pattern
There is no standard probability distribution for service process. Infact, in many cases actual data is used for describing the service time. However, if the service times are exponentially distributed, then the model becomes simple.
Calling population
The entire sample of customers from which a few visit the service facility is known as the calling population.
Remember
The size of calling population can be finite or infinite.
Customer Behavior
- Balking: If queue is very long, customer decides not to enter the queue.
- Reneging: Customer leave the queue without queue without getting the service.
- Jockeying: When customer switches the queue, called jockeying.
- Collision: In this case several customers may collaborate and only one of them may stand in the queue.
Here, the queue length may be small, but service time for an individual may be more.
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