Scheduling is explicitly part of our lives


Scheduling

Scheduling is explicitly part of our lives. We schedule everything, and need to in order to plan our resources accordingly. When business schedule tasks on a large scale, any inefficiencies in the schedule could magnify into problems for meeting demand, issues for customers, increases in costs, etc. This assignment uses Johnson's Rule to schedule several events in order to reduce idle time in a manufacturing process.

This assignment requires you apply Scheduling Theory in order to optimize a schedule of events and reduce lost productivity.

The Data

The local car wash has five cars waiting to be washed and waxed. The time required in minutes for each activity is given below.

Car Washing Waxing
1 5 10
2 7 2
3 10 5
4 8 6
5 3 5

Analysis

a) In what order should the cars be processed through the facility that is the most efficient overall?

b) How long from start to finish will it take to complete the processing the five cars?

c) How much idle time was incurred by the washing process?

d) How much idle time was incurred by the waxing process?

e) Suppose there are 10 products you are creating that require time in 3 different machines.

f) Make up the data corresponding to these 30 values, what is the optimal schedule? (Show the table of made up data)

g) For the made up proboem, how long is the total time to complete the production of all 10 products?

h) How much idle time is there are on all 3 of the machines?

Consulting

i) How might Statistical Process Controls impact scheduling in a real business situation?

j) How might Queuing Theory impact scheduling in a real business situation?

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Advanced Statistics: Scheduling is explicitly part of our lives
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