Question

Explain how you can view each of the following systems as a queueing system. In particular, determine the calling population, the item that enters the system, the servers, the nature of the service, the capacity of the queue, and the queue discipline. 1. A Supercuts (haircut) store 2. A parking lot 3. A fire station 4. A group of machines assigned to an operator for maintenance 5. A supercomputer shared among researchers of a university Fill in the table to describe each scenario Supercuts Parking lot Fire station Machines Supercomputer Calling Population Item Servers Nature of Service Capacity Discipline

Answer 1

If anyone is busy to taking the particalular service and other customer/unit is comes for getting that particular system , he/she/it has to wait until the first customers gets the service . This forms a Queue . & Such situation is called Queueing System .

If time required for getting particular system is greater than the time required for arriving new customer in the system the a queue is form

Calling population : A population from which customers/ units are arriving in the queue for getting particular service is called calling population .

Server : The particular station that provides the service is called Server

there will be one or more than one server

Capacity of Queue : Maximum no. of customers/units can be given a paricular service is called as capacity of queue.

Queue decipline :

1) FIFO ( First In First Out ) : In this decipline , The customer arrive first in the system gets the service first and he can leave the system first

2) LIFO ( last In First Out ) : In this decipline , The customer arrive last in the system gets the service first and he can leave the system first

3) Random in Random out : In this method , the unit chosen without specific rule . This decipline is use in emergency conditions only.

	Supercuts	Parking lot	Fire Station	Machines	Super computers
Calling population	Human population	vehicles arriving	the fire place	no. of items	all the process
Items	Human being	Vehicles	Fire brigades	Particular items	Unprocessed data
Servers	No. of barbars	No. of places/ramps	No. of vehicles	No. of machines	CPU
Nature of service	Singly	Batches/Singly	Singly	Batches	Batches
Capacity	Fixed	Fixed	Infinity	Fixed	Infinity
Decipline	FIFO	LIFO	RIRO	FIFO	FIFO