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Exam 16: Scheduling

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Question 41

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Given the following data for jobs awaiting processing at a manufacturing cell in which jobs are first processed by machine A, then by machine B: $\begin{array} { c } \quad\quad\quad{ \text { Process Time (Hours) } } \\\begin{array} { l c c } \text { Job } & \text { Center A } & \text { Center B } \\\hline \mathrm { W } & 4 & 5 \\\mathrm { X } & 6 & 6 \\\mathrm { Y } & 1 & 2 \\\mathrm { Z } & 5 & 2\end{array}\end{array}$ In developing the sequence which will minimize throughput time, where should job X be placed?

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Question 42

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Given the following data for jobs awaiting processing at a manufacturing cell in which jobs are first processed by machine A, then by machine B: $\begin{array} { c } \quad\quad\quad{ \text { Process Time (Hours) } } \\\begin{array} { l c c } \text { Job } & \text { Center A } & \text { Center B } \\\hline \mathrm { W } & 4 & 5 \\\mathrm { X } & 6 & 6 \\\mathrm { Y } & 1 & 2 \\\mathrm { Z } & 5 & 2\end{array}\end{array}$ If these jobs were scheduled in the sequence shown, what would be the throughput time?

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Question 43

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Sequencing is concerned with the order in which jobs are done, while loading is concerned with assigning jobs to work centers or workstations.

The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client. Accordingly, she has estimated the time it should take for each of her top consultants-Charlie, Betty, Johnny, and Rick-to complete any of the four projects, as follows: $\begin{array} { c } \quad \quad \quad \quad \quad { \text { Project (Hours) } } \\\begin{array} { l c c c c } \text { Consultant } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline \text { Charlie } & 13 & 16 & 11 & 13 \\\text { Betty } & 11 & 15 & 14 & 18 \\\text { Johnny } & 15 & 22 & 12 & 15 \\\text { Rick } & 17 & 17 & 12 & 22\end{array}\end{array}$ After the row and column reductions, what is the reduced time for assigning Rick to project D?

Eva, the owner of Eva's Second Time Around Wedding Dresses, currently has five dresses to be altered, shown in the order in which they arrived: $\begin{array} { l c c } \text { Job } & \begin{array} { c } \text { Processing } \\\text { Time } ( \text { hrs } ) \end{array} & \begin{array} { c } \text { Due } \\\text { (hrs from now) }\end{array} \\\hline \text { V } & 3 & 5 \\\text { W } & 1 & 1 \\\mathrm { X } & 4 & 9 \\\mathrm { Y } & 2 & 3 \\\mathrm { Z } & 5 & 7\end{array}$ If Eva uses the first come, first served priority rule to schedule these jobs, what will be the average completion time?

There are four resources and four jobs to be done. The time required for each resource to do each job is as follows: $\begin{array} { c } \quad \quad \quad \quad { \text { Job (Hours) } } \\\begin{array} { l c c c c } \text { Resource } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \\\hline 1 & 5 & 8 & 7 & 7 \\2 & 4 & 9 & 5 & 9 \\3 & 6 & 9 & 8 & 7 \\4 & 7 & 6 & 6 & 9\end{array}\end{array}$ After the row and column reductions, what is the minimum number of lines needed to cover all of the zeroes?

The priority rule where jobs are processed according to the smallest ratio of due date to processing time is:

In a single work center, makespan improvement can be accomplished by selecting the optimal sequencing rule.

Eva, the owner of Eva's Second Time Around Wedding Dresses, currently has five dresses to be altered, shown in the order in which they arrived: $\begin{array} { l c c } \text { Job } & \begin{array} { c } \text { Processing } \\\text { Time (hrs) }\end{array} & \begin{array} { c } \text { Due } \\\text { (hrs from now) }\end{array} \\\hline \mathrm { V } & 3 & 5 \\\mathrm {~W} & 1 & 1 \\\mathrm { X } & 4 & 9 \\\mathrm { Y } & 2 & 3 \\\mathrm { Z } & 5 & 7\end{array}$ If Eva uses the shortest processing time first (SPT) priority rule to schedule these jobs, what will be the average completion time?

Given the information in the table, determine the following: (A) Processing sequence using (1) SPT and (2) EDD (B) Average completion time and average job tardiness using (1) SPT and (2) EDD $\begin{array} { ccc } \text { Job } & \begin{array} { c } \text { Processing } \\\text { Time (hrs) }\end{array} & \begin{array} { c } \text { Hour } \\\text { Due }\end{array} \\\hline \text { A } & 17 & 15 \\\text { B } & 10 & 25 \\\text { C } & 5 & 20 \\\text { D } & 7 & 32 \\\text { E } & 11 & 38\end{array}$

Makespan is the total time needed to complete a group of jobs.

Job X, which has a duration of four days, is due by the close of business on Friday, December 23. Without looking at the work already scheduled on X's required resource, the scheduler schedules X to be begun on the morning of Tuesday, December 20. This is an example of:

The owner/operator of the local franchise of Handyman, Inc., has four jobs to do today, shown in the order they were received: $\begin{array} { l c c } \text { Job } & \text { Processing } & \text { Due } \\\text { Time (hrs) } & \text { (hrs from now) } \\\hline \mathrm { W } & 4 & 4 \\\mathrm { X } & 3 & 5 \\\mathrm { Y } & 2 & 2 \\\mathrm { Z } & 1 & 1\end{array}$ If he uses the earliest due date first priority rule to schedule these jobs, what will be the average job tardiness?

Refer to the following data for jobs waiting to be processed at a single work center (jobs are shown in order of arrival): $\begin{array} { l c c } \text { Job } & \begin{array} { c } \text { Processing Time } \\( \text { days } )\end{array} & \begin{array} { c } \text { Due Date } \\\text { (days from now) }\end{array} \\\hline \mathrm { A } & 2 & 2 \\\mathrm {~B} & 5 & 6 \\\mathrm { C } & 6 & 10 \\\mathrm { D } & 3 & 4 \\\mathrm { E } & 4 & 8\end{array}$ What is the average completion time for the first come, first served priority rule schedule? Average job tardiness? Average number of jobs at the center?

Which of the following is critical to effective yield management?

Ensuring that the constraining resource is used to its maximum is an example of constraint:

The two different approaches to load work centers in job-shop scheduling are:

In the decision-making hierarchy, scheduling decisions are the final step in the transformation process before actual output occurs.

Refer to the following data for jobs waiting to be processed at a single work center (jobs are shown in order of arrival): $\begin{array} { l c c } \text { Job } & \begin{array} { c } \text { Processing Time } \\( \text { days } )\end{array} & \begin{array} { c } \text { Due Date } \\\text { (days from now) }\end{array} \\\hline \mathrm { A } & 2 & 2 \\\mathrm {~B} & 5 & 6 \\\mathrm { C } & 6 & 10 \\\mathrm { D } & 3 & 4 \\\mathrm { E } & 4 & 8\end{array}$ What is the schedule sequence using the shortest processing time priority rule?

Priority rules are used in low-volume systems to identify an optimal processing sequence.