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Bob Dresser Operates a Major Appliance Warranty Service Centre A What Is the Optimal Sequence of Jobs for the Operation

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Essay

Bob Dresser operates a major appliance warranty service centre. His operation has two check stations that are required at the end of every repair task performed by his appliance repair staff. These are the Functionality Review (FR) and the Overall Scan (OS). The FR must be performed successfully before the OS is begun. On Friday morning, six repair jobs are completed, awaiting these two inspection activities. Processing times are given in minutes.
 Job  FR  OS  A 5030 B 3555 C 2520 D 2035 E 1510 F 1025\begin{array} { | c | c | c | } \hline \text { Job } & \text { FR } & \text { OS } \\\hline \text { A } & 50 & 30 \\\hline \text { B } & 35 & 55 \\\hline \text { C } & 25 & 20 \\\hline \text { D } & 20 & 35 \\\hline \text { E } & 15 & 10 \\\hline \text { F } & 10 & 25 \\\hline\end{array} a. What is the optimal sequence of jobs for the objective of minimizing the total flow time?
b. Show your work, and document the sequence.
c. Chart the solution to this problem.
d. What jobs are being processed at time period 90?
e. What is the total flow time of this problem?
FROS20406080100120140160180200\begin{array} { | l | l | l | l | l | l | l | l | l | l | l | } \hline \mathrm { FR } & & & & & & & & & & \\\hline \mathrm { OS } & & & & & & & & & & \\\hline & 20 & 40 & 60 & 80 & 100 & 120 & 140 & 160 & 180 & 200 \\\hline\end{array}


Definitions:

Short-term

Relating to or occurring on a brief or immediate timescale, typically within one year, used especially in finance and investment contexts.

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