MPL MS QM Meaning

Management Science

1

QUEUING
MODELS

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QUEUING SYSTEM

2

Elements of queuing system
Basic Terms
FCFS model :Poisson arrival, exponential service,
single channel, first come-first served maximum
allowable customers being infinity in the system and
infinite population model.

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When queue is formed?

3

A queue or waiting line will be formed in two situations,
namely
(a) When there are too many service facilities.
(b) When there are too less services facilities.
When too many service facilities are available, the
customers/jobs entering the system will be provided
service immediately. Many a times, a service facility may
be found idle. Hence the service facility waits for the
arrival of customers. When the number of service
facilities are too less, the customers/jobs entering the
system has to wait in queue.

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STRUCTURE OF QUEUING SYSTEM

4

ARRIVALS SERVICE FACILITY DEPARTURES

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Detailed structure …………

5

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Examples of queue….

6

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Elements

7

Source of customers
[Size of Source (population)/Pattern of Arrival (arrival
distribution)/Attitude of Customer( customer
Behaviour)]
Queue Size [ maximum no of customers allowed in
system][ capacity of system]
Queuing Discipline [ service discipline] (method of
selection)
Service facility/Service Channel
Service [ departure] distribution

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