SCM 3050, Cycle time analysis, Confidence intervals, Little’s Law, Bottleneck analysis,

Quantitative Assignment #4

1. Cycle time analysis

Company X has recently completed an analysis of its primary value-added process. As part of this analysis, the major flows have been mapped such that the process has been broken down into 10 sequential activities. To better understand the process, the times to complete each of these activities have been carefully monitored over the past month. The average (mean) and standard deviation of the activity times are recorded in parentheses next to the box representing the activity, as follows:

Activity Mean Deviation
1 8 2.4
2 4 1.2
3 15 2.1
4 3 3.0
5 1 0.4
6 10 6.0
7 5 2.8
8 3 3
9 20 4.5
10 4 0.3


1.a What is the average completion time for this value-added process?
1.b What is the standard deviation for the entire process?
1.c What is the probability that process will be completed in 75 hours?
1.d in 80 hours?
1.e in 70 hours?
1.f Develop a 95 percent confidence interval for the process.
1.g If you aren’t confident in your ability to make delivery promises, where should you target your improvement efforts? How would you proceed?

2. Little’s Law

2.a In a popular vacation destination in Asia, all of the hotel beds are generally booked in the summer season. On average, there are 2,800 tourists who stay for two weeks on average (i.e., 14 days). How many new tourists arrive, on average, per day in this vacation destination?

2.b At a local airport, 20 planes arrive on average per hour on the single runway, and these planes have to circle 3 minutes in the air, on average, before they can start their landing procedure. How many planes, on average, are circling in the air before they start landing?

2.c In a hospital emergency room, on average 30 patients arrive per hour. If the average number of patients present in the emergency room is 20, what is the average duration of stay of a patient in the emergency room?

3. Bottleneck Analysis I

A process requires six sequential steps with the following times. Assume only one machine at each step:
i. Step 1: 2 minutes
ii. Step 2: 3 minutes
iii. Step 3: 2 minutes
iv. Step 4: 4 minutes
v. Step 5: 1 minute
vi. Step 6: 5 minutes

3.a Which step is the process bottleneck?

3.b What is the capacity of the process in units per hour?

3.c What is the capacity of the process (in units per hour) if a second identical machine is added to Step 2?

4. Bottleneck Analysis II

Consider the standard process for cleaning teeth at a dentist’s office.


4.a Ignoring any waiting time, what is the cycle time (aka process flow time or throughput time)?

4.b How many resources are there?

4.c Calculate the capacity of each resources in patient per hour.

4.d Which resource is the bottleneck?

4.e What is the capacity of this dentist office?

4.f What is the capacity of this office if a second hygienist is hired?

Answer key
1.a 73
1.b 9.69
1.c 58.2%
1.d 76.5%
1.e 37.8%
1.f 54—92

2.a 200 per day
2.b 1 airplane
2.c 40 minutes

3.a Step 6
3.b 12 per hour
3.c 12 per hour

4.a 44 minutes
4.b 4
4.c Receptionist: 7.5 patients/hr; Hygienist: 2.5; X-ray machine: 10; Dentist: 4.6
4.d The hygienist
4.e 2.5 patients/hr
4.f 4.6 patients/hr

Get 20% Discount on This Paper
Pages (550 words)
Approximate price: -

Try it now!

Get 20% Discount on This Paper

We'll send you the first draft for approval by at
Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

Assignment Help has assembled a team of highly skilled writers with diverse experience in the online writing circles. Our aim is to become a one stop shop for all your Academic/ online writing. Check out below our amazing service!


Essay Writing Services

At Assignment Help, we prioritize on all aspects that creates a good grade such as impeccable grammar, proper structure, zero-plagiarism, and conformance to guidelines. The principal purpose of essay writing is to present the author's evaluation concerning a singular subject about which they have made. Since Professionalism is the mother of every success, try our team of experienced writers in helping you complete your essays and other assignments.


Admission Papers

You have been trying to join that prestigious institution you long yearned for, but the hurdle of an admission essay has become a stumbling block. We have your back, with our proven team that has gained invaluable experience over time, your chance of joining that institution is now! Just let us work on that essay.How do you write an admission essay? How do you begin the essay? For answers, try Quality Custom Writers Now!


Editing and Proofreading

Regardless of whether you're pleased with your composing abilities, it's never an impractical notion to have a second eye go through your work. The best editing services leaves no mistake untouched. We recognize the stuff needed to polish up a writing; as a component of our editing and proofreading, we'll change and refine your write up to guarantee it's amazing, and blunder free. Our group of expert editors will examine your work, giving an impeccable touch of English while ensuring your punctuation and sentence structures are top-notch.


Technical papers

We pride ourselves in having a team of clinical writers. The stringent and rigorous vetting process ensures that only the best persons for job. We hire qualified PhD and MA writers only. We equally offer our team of writers bonuses and incentives to motivate their working spirit in terms of delivering original, unique, and informative content. They are our resources drawn from diverse fields. Therefore your technical paper is in the right hands. Every paper is assessed and only the writers with the technical know-how in that field get to work on it.


College Essay Writing

If all along you have been looking for a trustworthy college essay service provider that provides superb academic papers at reasonable prices, then be glad that you search has ended with us. We are your best choice! Get high-quality college essay writing from our magnificent team of knowledgeable and dedicated writers right now!


Quality Assignment/Homework Help

We give the students premium quality assignments, without alarming them with plagiarism and referencing issues. We ensure that the assignments stick to the rules given by the tutors. We are specific about the deadlines you give us. We assure you that you will get your papers well in advance, knowing that you will review and return it if there are any changes, which should be incorporated.