Evaluate the average queue length

Reference no: EM1322611

Random number generation based on discrete distribution.

First American Bank is trying to determine whether it should install one or two drive-through teller windows. The following probability distributions for arrival intervals and service times have been developed from historical data:

Time Between Arival	Probability
1	0.2
2	0.6
3	0.1
4	0.1

Service Time (In Min)	Probability
2	0.1
3	0.4
4	0.2
5	0.2
6	0.1

Assume that in the two-server system, an arriving car will join the shorter queue. When the queues are of equal length, there is a 50-50 chance the driver will enter the queue for either window.

a. Simulate both the one-and two-teller systems. Compute the average queue length, waiting time, and percentage utilization for each system.(using excel)

b. Discuss your results in (a) and suggest the degree to which they could be used to make a decision about which system to employ.

Reference no: EM1322611

Questions Cloud

Finding probability of a rating : If an applicant is randomly selected, find the probability of a rating that is between 200 and 275.

Model assumptions for a regression model : Fitting of multiple linear regression equation - Give a list of the model assumptions for a regression model.

Find the indicated probability : The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 Inches and a standard deviation of 0.01 inches.

Challenges on accurate data gathering : Describe methods you would use to analyze one of these three different markets: consumer, industrial or international markets. What challenges would you face to ensure accurate data gathering in the market

Evaluate the average queue length : Random number generation based on discrete distribution and evaluate the average queue length, waiting time, and percentage utilization for each system.

Probability of tossing die-using normal approximation : Use the normal distribution to approximate the desired probability. Find the probability that in 200 tosses of a fair die, we will obtain at exactly 30 faces.

Common law tradition and sources of law : As an introduction to this training series, write a two-to-three page paper outlining the common law tradition and sources of law

Partnerships between companies and customers : View the Malcolm Gladwell video, Malcolm Gladwell on Innovation, about today's customers desiring partnerships. How does employee empowerment aid in building partnerships between companies and their customers?

Hypothesis test for two factors anova : Hypothesis test for two factors ANOVA. Describe what thses represent and, based on figure, whether there is a problem with the data r otherwise.

User Account

All Pages