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Assignment about Finite Queuing Model.

Services are acts, deeds, performances or relationships that produce time, place, form or psychological utilities for customers. Services are intangible and perishable, making design more difficult. Services have high customer contact and variable output. Consumers do not separate the service from the delivery of the service, so everything about the service environment is part of the service design. Services tend to be decentralized and geographically dispersed. Services are consumed more often than products and can be easily emulated.

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Added on  2022-09-22

Assignment about Finite Queuing Model.

Services are acts, deeds, performances or relationships that produce time, place, form or psychological utilities for customers. Services are intangible and perishable, making design more difficult. Services have high customer contact and variable output. Consumers do not separate the service from the delivery of the service, so everything about the service environment is part of the service design. Services tend to be decentralized and geographically dispersed. Services are consumed more often than products and can be easily emulated.

   Added on 2022-09-22

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Running head: Finite queuing model
Finite queuing model
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Assignment about Finite Queuing Model._1
Finite queuing model 2
Finite queuing model
5-7.
The average arrival rate ƛ=. 12hours
The average service rate μ = 60/3 = 20hourly
The average time a customer will wait for the service in one window will be given by;
Wq = ƛ/ μ (μ- ƛ) = 12/ 20*8
= 0.075hr or 4.5 minutes
The average time a customer will wait for the service in two windows
Using similar service rate of 20hourly
However, the arrival rate for each window will be 12/2= 6 per hour
Wq= 6 / 20(14) = 0.021hrs or 1.29 minutes.
Calculating the difference by subtracting two window period from one window period
4.5-1.29 = 3.21 minutes
Cost of the reduced time = 3.21 * $2000 = $6420
Since the cost window = $20000
Therefore, $6420 < $20000 hence no need for the second drive installation factoring out the cost.
However, considering the quality service provision, the waiting time of the one window 4.5
minutes is too long; hence a new window should be installed.
Assignment about Finite Queuing Model._2
Finite queuing model 3
5-9.
The average arrival rate ƛ= 120 per day
The average service rate μ = 140 per day
A) Solution
Average waiting customers in terms of trucks
(120)^2 / [140*20]
= 5.14 trucks
W = 1/20 = 0.05
=8hrs per day
=480minutes
W= 0.05*840 = 24min
Therefore the average waiting time is given by
Wq= 120/ (140*20) = 0.043 day simply, 20.6min
B) Solution
24-15 = 9 minutes
Loss per year = 9*$10000 = $ 90, 000
Assignment about Finite Queuing Model._3

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