Purchase Solution

Johnson's Algorithm for Optimal Scheduling: Production Line

Not what you're looking for?

Ask Custom Question

A production line consists of two main workstations: an assembly workstation and a packaging workstation. The processing times for 11 jobs (in minutes) that must be processed on these two workstations are given below. There is plenty of space in between the workstations such that blocking does not occur. Find the optimal job sequence for this serial system with the minimum makespan. Make sure you show the steps you take to find an optimal solution. Draw a Gantt chart that shows completion time values.

Job J1 J2 J3 J4 J5 J6 J7 J8 J9 J10 J11
Workstation 1 30 18 28 22 46 16 20 5 15 25 34
Workstation 2 10 20 12 14 24 26 32 6 20 10 25.

Purchase this Solution

Solution Summary

The solution discusses Johnson's Algorithm for optimal scheduling regarding a production line.

Solution Preview

See the attached file.

Johnson's Algorithm for Optimal Scheduling
A = {1,2,3,4,5,6,7,8,9,10,11}; L1 = {}, L2 = {}

Step 1
Shortest job is J8,1
Remove part 8 from list A and Add 8 to end of list L1
A = {1,2,3,4,5,6,7,9,10,11}
L1 = {8}, L2 = {}

Step 2
Of remaining parts shortest operations are J1,2 and J10,2
Since both are on workstation 2, pick one with longer duration on workstation 1, i.e. J1,2
Remove 1 from list A and ...

Purchase this Solution

Free BrainMass Quizzes
Balance Sheet

The Fundamental Classified Balance Sheet. What to know to make it easy.

Writing Business Plans

This quiz will test your understanding of how to write good business plans, the usual components of a good plan, purposes, terms, and writing style tips.

Employee Orientation

Test your knowledge of employee orientation with this fun and informative quiz. This quiz is meant for beginner and advanced students as well as professionals already working in the HR field.

Production and cost theory

Understanding production and cost phenomena will permit firms to make wise decisions concerning output volume.

Income Streams

In our ever changing world, developing secondary income streams is becoming more important. This quiz provides a brief overview of income sources.