Question

Consider a machine where jobs are being processed. The mean production time is 6 minutes and...

Consider a machine where jobs are being processed. The mean production time is 6 minutes and the standard deviation is 2 minutes per job. The mean number of jobs arriving per hour is 7. Suppose that the inter-arrival times are exponentially distributed.

Determine the mean waiting time of the jobs._______ minutes

What fraction of the time is the machine idle?________

What is the average time for a job to be completed?________ minutes

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a batch manufacturing process in which a machine processes jobs in batches of three units....
Consider a batch manufacturing process in which a machine processes jobs in batches of three units. The process starts only when there are three or more jobs in the buffer in front of the machine. Otherwise, the machine stays idle until the batch is completed. Assume that job interarrival times are uniformly distributed between 2 and 8 hours, and batch service times are uniformly distributed between 5 and 15 hours. Assuming the system is initially empty, simulate the system manually...
please post solutions using R Consider a batch manufacturing process in which a machine processes jobs...
please post solutions using R Consider a batch manufacturing process in which a machine processes jobs in batches of three units. The process starts only when there are three or more jobs in the buffer in front of the machine. Otherwise, the machine stays idle until the batch is completed. Assume that job interarrival times are uniformly distributed between 2 and 8 hours, and batch service times are uniformly distributed between 5 and 15 hours. Assuming the system is initially...
Suppose you’re designing an automated vending machine to serve espresso drinks. Espresso drinkers form a single...
Suppose you’re designing an automated vending machine to serve espresso drinks. Espresso drinkers form a single waiting line and enter the line at a rate of 100 per hour, arriving according to a Poisson process. The machine can process drinks at a rate of 120 drinks per hour, with service times exponentially distributed. (a) What is the probability that there are no people in the waiting line? (b) What is the average length of the waiting line? (c) What is...
Four cashiers are on duty in a bank where customers may be assumed to arrive independently...
Four cashiers are on duty in a bank where customers may be assumed to arrive independently and at random, at an average rate of 60 per hour. If a cashier is free, then an arriving customer receives immediate attention; otherwise a central queue is formed. The service time for each cashier may be assumed to be exponentially distributed with mean 2 minutes. The traffic intensity  is . Assume that the queue is in equilibrium What is the probability that at any...
An urgent care facility has the policy that all arriving patients be seen by a triage...
An urgent care facility has the policy that all arriving patients be seen by a triage nurse before being admitted for care by a provider. There is one triage nurse at this facility and based on data that has been collected over the past several years, it is discovered that the arrival of patients on weekdays follows a Poisson Distribution with a mean of 5.5 per hour. It is further discovered from the data that the time the triage nurse...
Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs....
Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of one job per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 5.5 hours and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder...
Consider computer jobs that run a cluster. The running time (in minutes) of each job follows...
Consider computer jobs that run a cluster. The running time (in minutes) of each job follows a normal distribution with mean 15 and variance 4. How many jobs can someone submit to the cluster at most so that with a probability of at least 0.95 he/she is certain that the total running time of the computer jobs will not exceed 200 minutes?
Five jobs are waiting for processing through two work centers. Their processing time (in minutes) at...
Five jobs are waiting for processing through two work centers. Their processing time (in minutes) at each work center is contained in the table below. Each job requires work center Alpha before work center Beta. According to Johnson's rule, a. what is the job processing sequence? b. how much idle time does work center Beta have? Job Alpha Beta R 20 10 S 25 35 T 50 20 U 15 35 V 55 75
Two turtles are racing. Turtle A’s time is exponentially distributed with mean 2 minutes. Turtle B’s...
Two turtles are racing. Turtle A’s time is exponentially distributed with mean 2 minutes. Turtle B’s time is exponentially distributed with mean 3 minutes. Assume that their times are independent. a) What is the probability that turtle A wins? b) What is the expected time of the winner? What is its variance? c) What is the pdf of the time difference between the loser and the winner (by how much the faster turtle wins)?
Problem 2 There are three machines and two mechanics in a factory. The break time of...
Problem 2 There are three machines and two mechanics in a factory. The break time of each machine is exponentially distributed with λ = 1 (per day). The repair time of a broken machine is also exponentially distributed with a mean of 3 hours. (Mechanics work separately). (1). Construct the rate diagram for this queueing system. (be careful about the arrival rate λn) (2). Set up the rate balance equations, then solve for pn’s. (3). Compute L. (4). Compute the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT