What is the probability that the queuing system is empty

Assignment Help Operation Management

Reference no: EM133992999

Assignment:

A branch of a bank has only one typist. Since the typing work varies in length (number of pages to be typed), the typing rate is randomly distributed approximating a Poisson distribution with mean service rate of 8 letters per hour. The letters arrive at a rate of 5 per hour during the entire 8-hour workday. The typewriter is valued at Rs. 100 per hour.

a) What is the probability that the queuing system is empty?

b) What is the probability that the typist is idle?

c) How many hours do the typist idles per day?

d) What is the average length in the queue?

e) On average how many letters are there at the typis?

f) What is the average waiting time for letters?

g) What is the probability that there are 4 letters to be typed?

h) What is the probability that there are more than 8 letters to be typed?

i) What is the waiting time of a letter in the queue?

j) If the arrival rate of letters has 2per hour, how many typists are required to provide an equilibrium level of service?

Reference no: EM133992999

Questions Cloud

Justify leasing the new equipment on an economic basis : If our manager estimates the cost of a customer's waiting time in queue (in terms of future business lost to the competition) to be $20 per customer per hour.

What type of queuing model is this process : What type of queuing model is this process? How many customers on average are waiting in line?

How does help organizations achieve a competitive advantage : What are these three strategies and how does it help organizations achieve a competitive advantage?

Determine the economic order quantity : Determine the economic order quantity, assuming a 52-week year. If the copy center reorders when the supply on hand is 12 boxes, compute the risk of a stockout.

What is the probability that the queuing system is empty : What is the probability that the queuing system is empty? What is the probability that the typist is idle?

What is the average number of customers in the system : What is the system utilization? What is the average number of customers in the system (waiting plus being served)?

What do you think must be destroyed : What do you think must be destroyed? Is it possible to apply Picasso's creative philosophy in your workplace.

What is the efficient price of medical services : What is the efficient price of medical services? What is the efficient quantity of medical services?

What type of labor market does the firm hire its workers : If WM=WF,from what type of labor market does the firm hire its workers?

User Account

All Pages