Calculate the percentage utilization of the operator

Assignment Help Operation Management

Reference no: EM131441691

An office employs several clerks who originate documents and one operator who enters the document information in a computer system. The group originates documents at a rate of 19 per hour. The operator can enter the information with average exponentially distributed time of 3 minutes. Assume the population is infinite, arrivals are Poisson, and queue length is infinite with FCFS discipline.

a. Calculate the percentage utilization of the operator. (Round your answer to 2 decimal places.)

Utilization of the operator in %:

b. Calculate the average number of documents in the system. (Round your answer to 1 decimal place.)

Average number of documents:

c. Calculate the average time in the system. (Round your answer to 1 decimal place.)

Average time in system in minutes:

d. Calculate the probability of four or more documents being in the system. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.

Probability in %:

Reference no: EM131441691

Questions Cloud

Medical leadership in healthcare facilities : There are a number of times when the strategic plan is presented not just to the executive committee and the board, but also to medical leadership in healthcare facilities.

Strategic planning committee is not actively working : The author advises that even in years when the strategic planning committee is not actively working on projects the organization should still work on two major planning related activities. Why is this important for the healthcare facility?

What is the value of the move node on the decision tree : The probablility of strong growth is 40% and with strong growth, demand is estimated to be 200k for each of three years. Demand with weak growth is estimated to be 150k for each of three years. We will move if growth is strong and the cost to move is..

What does trending mean on twitter : Twitter has become a very popular personal, as well as business social networking site. Write a one (1) page paper (about 2-4 paragraphs), that summarizes five ways that a business can use Twitter in order to increase its revenue. What does “trending..

Calculate the percentage utilization of the operator : An office employs several clerks who originate documents and one operator who enters the document information in a computer system. The group originates documents at a rate of 19 per hour. Calculate the percentage utilization of the operator. Calcula..

Teams are everywhere in society : Teams are everywhere in society. Discuss specific successful teams that you have seen or experienced.

What is the average waiting line length : Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 40 seconds to produce a batch of burritos. What is the a..

Excellent system for handling his regular patients : L. Winston Martin (an allergist) has an excellent system for handling his regular patients who come in just for allergy injections. Patients arrive for an injection and fill out a name slip, which is then placed in an open slot that passes into anoth..

What average number of people in line can be expected : To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 6 persons per hour request a test. What average number of people i..

User Account

All Pages