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Part $1$

An Alabama lumberyard has four jobs on$$order$,$ as shown in the following table. Today is day

$205$ on the$$yard$\text{'}$s schedule. In what sequence would the jobs be ranked according to the decision rules on the$$left:

$$

Job $|$ Due Date $|$ Duration$($days$)$

A $2084$

B $2108$

C $2095$

D $2126$

All dates are specified as manufacturing planning calendar days. Assume that all jobs arrive on day

$205.$ Compute all times based on initiating work on day

$205.$

a$)$ Using the FCFS$($first come, first$$served$)$ decision rule for sequencing the$$jobs$,$ the order is$($assume that jobs came in the order in which they are listed in the$$table$)$:

Part $1$

The average tardiness$($job lateness$)$ for the sequence developed using the FCFS rule$=\_\_\_$ days $($round your response to two decimal$$places$).$

Part $2$

The average completion time$($flow time$)$ for the sequence developed using the FCFS rule$=\_\_\_$ days $($round your response to two decimal$$places$).$

Part $3$

The percentage utilization for the sequence developed using the FCFS rule$=\_\_\_\%($enter your response as a percentage rounded to two decimal$$places$).$

$$b$)$ Using the SPT$($shortest processing$$time$)$ decision rule for sequencing the$$jobs$,$ the order is$($to resolve a$$tie$,$ use the order in which the jobs were$$received$)$:

Part $1$

The average tardiness$($job lateness$)$ for the sequence developed using the SPT rule$=\_\_\_$ days $($round your response to two decimal$$places$).$

Part $2$

The average completion time$($flow time$)$ for the sequence developed using the SPT rule$=\_\_\_\_$ days $($round your response to two decimal$$places$).$

Part $3$

The percentage utilization for the sequence developed using the SPT rule$=\_\_\_\%($enter your response as a percentage rounded to two decimal$$places$).$

$$c$)$ Using the LPT$($longest processing$$time$)$ decision rule for sequencing the$$jobs$,$ the order is$($to resolve a$$tie$,$ use the order in which the jobs were$$received$)$:

Part $1$

The average tardiness$($job lateness$)$ for the sequence developed using the LPT rule$=\_\_\_\_$days $($round your response to two decimal$$places$).$

Part $2$

The average completion time$($flow time$)$ for the sequence developed using the LPT rule$=\_\_\_\_$days $($round your response to two decimal$$places$).$

Part $3$

The percentage utilization for the sequence developed using the LPT rule$=\_\_\_\%($enter your response as a percentage rounded to two decimal$$places$).$

$$d$)$ Using the EDD$($earliest due$$date$)$ decision rule for sequencing the$$jobs$,$ the order is$($to resolve a$$tie$,$ use the order in which the jobs were$$received$)$:

Part $1$

The average tardiness$($job lateness$)$ for the sequence developed using the EDD rule$=\_\_\_$days $($round your response to two decimal$$places$).$

Part $2$

The average completion time$($flow time$)$ for the sequence developed using the EDD rule$=\_\_\_$ days $($round your response to two decimal$$places$).$

Part $3$

The percentage utilization for the sequence developed using the EDD rule$=\_\_\_\_\%($enter your response as a percentage rounded to two decimal$$places$).$

$$e$)$ Using the Critical Ratio$($CR$)$ scheduling rule for sequencing the$$jobs$,$ the order$$is:

Part $1$

The average tardiness$($job lateness$)$ for the sequence developed using the CR rule$=\_\_\_$days $($round your response to two decimal$$places$).$

Part $2$

The average completion time$($flow time$)$ for the sequence developed using the CR rule$=\_\_\_$days $($round your response to two decimal$$places$).$

Part $3$

The percentage utilization for the sequence developed using the CR rule$=\_\_\_\_\%($enter your response as a percentage rounded to two decimal$$places$).$