# (Solved Homework): Consider a single-machine, five-job, job sequencing problem such that all jobs have a ready…

Consider a single-machine, five-job, job sequencing problem such that all jobs have a ready time of zero and preempting jobs is not permitted. The remaining characteristics of the five jobs, listed in the order they were received, can be found in the table below. Determine and evaluate the job sequence that minimizes total weighted completion time.

 Job Number Processing Time Due Date Weight J P D W 1 3 4 6 2 6 8 3 3 8 12 1 4 4 15 9 5 2 11 2 Here we are going to use 4 rules which are given below to find the completion times and total weighted completion times to find the shortest total weighted completion times. 1 FCFS First Come First Service 2 DDATE Nearest Due Date 3 Slack Minimum Slack 4 SPT Smallest Process Time FCFS Job Number Processing Time Due Date Weight Start Time Completion Time Weighted Completion Time J P D W S C=S+P WC=W*C 1 3 4 6 0 3 18 2 6 8 3 3 9 27 3 8 12 1 9 17 17 4 4 15 9 17 21 189 5 2 11 2 21 23 46 Total Weighted Completion Time 297 DDATE Job Number Processing Time Due Date Weight Start Time Completion Time Weighted Completion Time J P D W S C=S+P WC=W*C 1 3 4 6 0 3 18 2 6 8 3 3 9 27 5 2 11 2 9 11 22 3 8 12 1 11 19 19 4 4 15 9 19 23 207 Total Weighted Completion Time 293 Slack Minimum Slack=Due Date – Today’s Date-Processing Time Job Number Processing Time Due Date Weight Slack J P D W S=D-0-P 1 3 4 6 1 2 6 8 3 2 3 8 12 1 4 4 4 15 9 11 5 2 11 2 9 Job Number Processing Time Due Date Weight Start Time Completion Time Weighted Completion Time J P D W S C=S+P WC=W*C 1 3 4 6 0 3 18 2 6 8 3 3 9 27 3 8 12 1 9 17 17 5 2 11 2 17 19 38 4 4 15 9 19 23 207 Total Weighted Completion Time 307 SPT Job Number Processing Time Due Date Weight Start Time Completion Time Weighted Completion Time J P D W S C=S+P WC=W*C 5 2 11 2 0 2 4 1 3 4 6 2 5 30 4 4 15 9 5 9 81 2 6 8 3 9 15 45 3 8 12 1 15 23 23 Total Weighted Completion Time 183 As we can make out here total weighted completion time is achieved through SPT and is 183 Now this question has a condition that preempting is not allowed that means we cannot make any thing before due date . FCFS Job Number Processing Time Due Date Weight Start Time Completion Time Adjusted Completion Time as per due date Weighted Completion Time J P D W S C=S+P AC WC=W*AC 1 3 4 6 0 3 4 24 2 6 8 3 4 10 10 30 3 8 12 1 10 18 18 18 4 4 15 9 18 22 22 198 5 2 11 2 22 24 24 48 Total Weighted Completion Time 318 DDATE Job Number Processing Time Due Date Weight Start Time Completion Time Adjusted Completion Time as per due date Weighted Completion Time J P D W S C=S+P AC WC=W*AC 1 3 4 6 0 3 4 24 2 6 8 3 4 10 10 30 5 2 11 2 10 12 12 24 3 8 12 1 11 12 20 20 4 4 15 9 19 20 24 216 Total Weighted Completion Time 314 Slack Minimum Slack=Due Date – Today’s Date-Processing Time Job Number Processing Time Due Date Weight Slack J P D W S=D-0-P 1 3 4 6 1 2 6 8 3 2 3 8 12 1 4 4 4 15 9 11 5 2 11 2 9 Job Number Processing Time Due Date Weight Start Time Completion Time Adjusted Completion Time as per due date Weighted Completion Time J P D W S C=S+P AC WC=W*C 1 3 4 6 0 3 4 24 2 6 8 3 4 10 10 30 3 8 12 1 10 18 18 18 5 2 11 2 17 18 20 40 4 4 15 9 19 20 24 216 Total Weighted Completion Time 328 SPT Job Number Processing Time Due Date Weight Start Time Completion Time Adjusted Completion Time as per due date Weighted Completion Time J P D W S C=S+P AC WC=W*C 5 2 11 2 0 2 11 22 1 3 4 6 2 11 14 84 4 4 15 9 5 14 18 162 2 6 8 3 9 18 24 72 3 8 12 1 15 24 32 32 Total Weighted Completion Time 372 If we go by this shortest total weighted completion will be 314 if we go by due date and job sequence will be 12534

Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

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

Proceed with the payment

Choose the payment system that suits you most.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

## Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.