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For each situation below, define the customers, the server(s), the queue discipl

ID: 328850 • Letter: F

Question

For each situation below, define the customers, the server(s), the queue discipline the service time, the maximum queue length, and the calling source: Orders for jobs are received at a workshop for processing. On receipt, the supervisor decides whether it is a rush or a regular job. Some orders require the use of one of several identical machines. The remaining orders are processed in a two- stage production line, of which two are available. In each group, one facility is assigned to handle rush jobs. Jobs arriving at any facility are processed in order of arrival. Completed orders are shipped on arrival from a shipping zone having a limited capacity. Sharpened tools for the different machines are supplied from a central total crib. When a machine breaks down, a repairperson is summoned from the service pool to make the repair. Machines working on rush orders always receive priorities both acquiring new tools from crib and in receiving repair service

Explanation / Answer

Case-1

Customer- the entity which requires some service so in this case job orders are requiring to serviced by the machines so job orders are customers

Servers- Here in workshop machines are there which will process the orders so Machines are servers

Queuing discipline- Here jobs are getting serviced according to their priority(Rush or Regular) so the queuing discipline would be Priority Service

Service time -It is the time required for processing

Here some jobs are getting service from any of the identical machines so the service time is constant for some jobs

Some other jobs require to be serviced in series so service time will be addition of two machines service time

Calling Source -> It is the source of population which generates customers for a queuing system.In this case calling source is finite as there are limited no of machines are there for service.In case of banks or stores It can be infinite

Case-2

Customers -Jobs

Servers - Shipping zone

Queuing Discipline- FIFO or FCFS (first ome first serve basis) as they are processed in order of arrival

Service time - The time required to ship the order from shipping zone

Calling source-. It is finite here as there are limited zones to ship the jobs

Case-3

Customers - Machines as they getting served in case of breakdown

Server- 1 repair person

Queuing discipline -Priority service as machines working on rush orders get priority

Service time- Time required by the repair person to repair the break down machine

Calling source - finite here as limited repair person that is one is available