A new surgical facility called Cut & Sew has opened in the United States. The branches of the facility are spread throughout the country. These are job shops that handle a variety of outpatient surgical procedures. The process of the facility is set up in a way that one doctor will cut and another will sew. The data regarding the patients and the estimated time for cutting and sewing for each patient are given in the following table:
$\begin{array} { | l | l | l | }
\hline \text { Patient } & \text { Cut Time (hours) } & \text { Sew Time (hours) } \
\hline \mathrm { A } & 2.3 & 2.8 \
\hline \mathrm { B } & 2.5 & 3.0 \
\hline \mathrm { C } & 2.0 & 1.5 \
\hline \mathrm { D } & 0.6 & 1.0 \
\hline \mathrm { E } & 3.6 & 2.6 \
\hline
\end{array}$
Using Johnson's sequencing rule, the final sequence of the patients is _____.
A) A-B-C-D-E
B) B-E-A-C-D
C) C-A-B-E-D
D) D-A-B-E-C

Question

A new surgical facility called Cut & Sew has opened in the United States. The branches of the facility are spread throughout the country. These are job shops that handle a variety of outpatient surgical procedures. The process of the facility is set up in a way that one doctor will cut and another will sew. The data regarding the patients and the estimated time for cutting and sewing for each patient are given in the following table: 
$\begin{array} { | l | l | l | } 
\hline \text { Patient } & \text { Cut Time (hours) } & \text { Sew Time (hours) } \
\hline \mathrm { A } & 2.3 & 2.8 \
\hline \mathrm { B } & 2.5 & 3.0 \
\hline \mathrm { C } & 2.0 & 1.5 \
\hline \mathrm { D } & 0.6 & 1.0 \
\hline \mathrm { E } & 3.6 & 2.6 \
\hline
\end{array}$
Using Johnson's sequencing rule, the final sequence of the patients is _____.
A) A-B-C-D-E
B) B-E-A-C-D
C) C-A-B-E-D
D) D-A-B-E-C

Quizplus · Accepted Answer

Johnson's rule for scheduling jobs on two machines involves arranging the jobs in such a way that the job with the shortest processing time on either machine goes first, with the condition that if it's the first machine (cutting), it goes to the beginning of the sequence, and if it's the second machine (sewing), it goes to the end of the sequence. Following this rule and applying it to the given data, the sequence that minimizes the total time is D (shortest cut time), A, B, E (based on their cut and sew times fitting the rule), and C (shortest sew time), thus D-A-B-E-C.

A New Surgical Facility Called Cut & Sew Has Opened