Workers come to tool store room to enquire about special tools (required by them) for accomplishing a particular project assigned to them. The average time between two arrivals is 60 seconds and the arrivals are assumed to be in Poisson distribution. The average service time (of the tool room attendant) is 40 seconds. Determine: (1) average queue length, (i) average length of non-empty queues, (ii) average number of workers in system including the worker being attended (iv) mean waiting time of an arrival, (v) average waiting time of an arrival who waits.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 30P
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Workers come to tool store room to enquire about special tools (required by them) for accomplishing a particular
project assigned to them. The average time between two arrivals is 60 seconds and the arivals are assumed to be
in Poisson distribution. The average service time (of the tool room attendant) is 40 seconds.
Determine:
(1) average queue length,
(i) average length of non-empty queues,
(ii) average number of workers in system including the worker being attended
(iv) mean waiting time of an arrival,
(v) average waiting time of an arrival who waits.
Transcribed Image Text:Workers come to tool store room to enquire about special tools (required by them) for accomplishing a particular project assigned to them. The average time between two arrivals is 60 seconds and the arivals are assumed to be in Poisson distribution. The average service time (of the tool room attendant) is 40 seconds. Determine: (1) average queue length, (i) average length of non-empty queues, (ii) average number of workers in system including the worker being attended (iv) mean waiting time of an arrival, (v) average waiting time of an arrival who waits.
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