Use Johnson's Rule to Determine the Optimal Sequencing for the Five

question 129

Essay

Use Johnson's rule to determine the optimal sequencing for the five jobs to be processed on two machines in a fixed order (Machine 1 before Machine 2). The processing times in hours are given in the table below.
a. What is the optimal sequence?
b. What is the total makespan for this sequence?
c. What is the total idle time for Machine 2?.
$$\begin{array} { | l | r | r | } \hline & \text { Machine 1 } & \text { Machine 2 } \\\hline \text { A } & 6 & 17 \\\hline \text { B } & 8 & 4 \\\hline \text { C } & 5 & 8 \\\hline \text { D } & 4 & 6 \\\hline \text { E } & 2 & 5 \\\hline\end{array}$$

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Definitions:

Work in Process

Partially finished goods that are in the process of being converted into final products in manufacturing.

Equivalent Unit

A measure used in cost accounting to represent the amount of work done on partial units of output, making it possible to calculate costs in process costing systems.

Process Costing

A costing method used for homogenous products, where costs are accumulated for a continuous process and then assigned to units of output.

Conversion Costs

The sum of direct labor and manufacturing overhead costs, representing expenses to convert raw materials into finished products.