Exercise 2 Solution Harvard Case Solution & Analysis

Exercise 2 Solution

Part a

            The probability of the formation of a waiting line in a triage service is 0.18%.

a)Average Number of arrivals per hour

12

patients
 Exponential DistributionNegative
 Triage duration

3

minutes
 
 
 Average number of arrivals per hour (Meu)

12

Patients
 x

3

minutes
 
 Probability

0.18%

 

 Part b

            The average number of the patients in the waiting line is 0.6.

 
b)Average number of patients in waiting line per minute

0.6

Patients
 

Part c

            The probability for a patient to wait more than 10 minutes in a waiting line is 89.52%.

 
c).Probability of waiting more than 10 minutes

89.52%

 

Part d

            After the installation of the software the triage time is reduce to 1 minute and based upon that the new probability for the formation of a waiting line is 0%, therefore, the patients would not have to wait in the line and complain so the new software is recommended for the health service unit.

Exercise 2 Solution Case Solution

 

 
d)Average number of arrivals per hour (Meu)

12

Patients
 x

1

minute
 
 New Probability of waiting line formation

0%

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