Question

In: Operations Management

A computer lab has a dozen machines, but at any given time some of them may...

A computer lab has a dozen machines, but at any given time some of them may be out of commission. Usually the problem is something as simple as the operating system locking up, which requires that a staff person reboot the machine and make sure that all the standard settings are correct. Sometimes the problem may be more serious, taking more time to correct. Overall, the repair time for any individual computer is negative exponentially distributed with a mean of thirty minutes. Once a computer is operating, the time until failure is negative exponentially distributed with a mean of ten hours.

a. If there is only one staff person to do the repairs, what is the average number of operating computers in the lab over the long run?

b. If there were two staff people to do the repairs, how much would that same average be?

Expert Solution

*****Please please please LIKE THIS ANSWER, so that I can get a small benefit, Please*****

(a)

Let the state be the number of operating computers. We generate the following transition diagram:

Based on the formula for steady state probability for birth-and-death process

we have the steady state probability as follows

The mean number of operating computers is P12 i=1(ºi £i) = 10.96

(b)

Similarly, when 2 staff people are doing the repairs, we generate the following transition diagram and get the mean number of operating computers being 11.39.

Thus we conclude that a new added staff will increase the mean number of operating computers. However, the improvement is not significant.

*****Please please please LIKE THIS ANSWER, so that I can get a small benefit, Please*****

keosha answered 2 months ago

All of us use electronic devices and may replace them from time to time. Some people...

All of us use electronic devices and may replace them from time to time. Some people have been raising the alarm about disposal of these products. What happens to electronic devices that are discarded by consumers? These are tangible physical products. Research this topic to find out where exactly the old computers, tablets, cell phones etc go to. Provide references for your answer. Your response should not be “I threw it in the garbage”, you need to track what happens...

In a job shop operation, four jobs may be performed on any of four machines. The...

In a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in the following table. The plant supervisor would like to assign jobs so that total time is minimized. Find the best solution. Which assignments should be made? Machine Job W X Y Z A12 10 14 16 13 A15 12 13 15 12 B2 9 12 12 11 B9 14 16 18 16

6.5 The time taken by machines A, B, and C to execute a given task is...

6.5 The time taken by machines A, B, and C to execute a given task is A 16m, 9s B 14m, 12s C 12m, 47s What is the performance of each of these machines relative to machine A? 6.6 Why is clock rate a poor metric of computer performance? What are the relative strengths and weaknesses of clock speed as a performance metric? 6.7 What are the relative strengths and weaknesses of the MIPS as a metric of computer performance?

The typical supermarket has 30,000 different products on sale at any given time. The manager of...

The typical supermarket has 30,000 different products on sale at any given time. The manager of that supermarket must determine not only what mix of products to have on hand but where to locate those products and what price to set on each one at any specific time. Usually, the price is based on a markup on the cost of the item, and the only reason the price is altered is that costs change. When you reserve a hotel room,...

In any city at any time, some of the stock of usable office space is vacant....

In any city at any time, some of the stock of usable office space is vacant. This vacant office space is unemployed capital. How would you explain this phenomenon? In particular, which approach to explaining unemployed labor supplies best to unemployed capital? Do you think unemployed capital? Do you think unemployed capital is a social problem? Explain your answer.

Q4. The sentences below may or may not contain errors, Re-write them, correcting any errors you...

Q4. The sentences below may or may not contain errors, Re-write them, correcting any errors you find to make them acceptable without changing their meanings. i. The invited guest for the programme is still not in; it’s already 2 o’clock pm. ii. All what they needed to do was to apologize to the victims. iii. Many people are happy about what president said in his speech that, “…, but what we don’t know is to bring people back”. iv. We...

You are given an array of n elements, and you notice that some of them are...

You are given an array of n elements, and you notice that some of them are duplicates, that is, they appear more than once in the array. Show how to remove all duplicates from the array in time O( n log2 n ).

Suppose a bacterial population at any given point in time is given by N(t). Suppose that...

Suppose a bacterial population at any given point in time is given by N(t). Suppose that it grows at 1.8 percent per hour. Construct differential equation to capture the population growth dynamics and present its definite solution. Suppose there are 10000 cells at time zero. How many cells will there be in 24 hours?

Time management is said to reduce stress. Name and describe some time management techniques that may...

Time management is said to reduce stress. Name and describe some time management techniques that may be used to reduce stress and Identify some of the consequences of job dissatisfaction and Identify and explain some important trends that are leading to an increasingly diverse workplace and Identify and describe the four properties of emotions.

Each time May Nursery hires a new employee, it must wait for some period of time...

Each time May Nursery hires a new employee, it must wait for some period of time before the employee can meet production standards. Management is unsure of the learning curve in its operations but it knows the first job by a new employee averages 40 hours and the second job averages 35 hours. Assume all jobs to be equal in size. Required: a. What is the learning-curve percentage, assuming the cumulative average-time method? b. What is the learning-curve percentage, assuming the incremental...