A new mall is considering the number of employees on desk duty information, currently only one employee is employed. Based on the information obtained, it is known that customers will come to the information desk with an average of 20 people per hour. It takes an average of 3 minutes to answer the questions. Assumed that the customer arrival rate follows the Poisson distribution and service time following an exponential distribution. Assume that the employee at the information desk earns Rs 50.000,- per hour. The cost of waiting time, if the customer is not satisfied, is IDR 35,000,- per hour of time spent in queue. a. Determine the average number of people waiting in the system. b. Determine the expected time a customer spends in the system. c. Calculate the expected cost of 8 hours/day for an employee.
A new mall is considering the number of employees on desk duty
information, currently only one employee is employed. Based on the information
obtained, it is known that customers will come to the information desk with an average of 20
people per hour. It takes an average of 3 minutes to answer the questions. Assumed
that the customer arrival rate follows the Poisson distribution and service time
following an exponential distribution. Assume that the employee at the information desk earns Rs
50.000,- per hour. The cost of waiting time, if the customer is not satisfied, is IDR 35,000,-
per hour of time spent in queue.
a. Determine the average number of people waiting in the system.
b. Determine the expected time a customer spends in the system.
c. Calculate the expected cost of 8 hours/day for an employee.
d. The mall management has decided to consider using two people
employee at the information desk. Propose to mall management whether to use a
or two employees at the information desk. Explain your answer.
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