A manufacturing plant has four jobs on order, as shown in Table 8.1. Today is day 205 on the plant's

A manufacturing plant has four jobs on order, as shown in Table 8.1. Today is day 205 on the plant’s schedule. (i) In what sequence would the jobs be ranked according to the following decision rules a. SPT b. Critical ratio (ii) Which is best sequence and why?

Expert Answer

b) Job order sequencing

i) a. Shortest Processing Time (SPT)

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According to this SPT rule, the jobs are sequenced in order of the required processing time starting with the job requiring the least processing time at the top and progressively towards the jobs with long process times.

The below shows the job sequence according to the SPT principle,

Job No Processing time (days)
B 3
C 3
A 6
D 8

i) b. Critical Ratio (CR)

According to this CR rule, the jobs are sequenced in order of the Critical ratio staring with smallest at first and priority is arranged in increasing critical ratio.

This critical Ratio is defined as an index number calculated by dividing the time remaining until due
date by the remaining work time.

Given that the company is 205 work day,

For example, for Job A, CR = time remaining until due date / remaining work time = (212 – 205) / 6 = 7/6 = 1.17

Similarly, repeating the same for other jobs, we get the values as tabulated,

Job No Due day Processing time (days) time remaining until due date Critical ratio
A 212 6 7 1.17
B 209 3 4 1.33
C 208 3 3 1.00
D 210 8 5 0.63

The below shows the job sequence according to the CR,

Job No Critical ratio
D 0.63
C 1.00
A 1.17
B 1.33

ii) Best sequence

There are several methods available to do job sequencing, some of those concepts include Shortest processing time (SPT), Longest Processing Time (LPT), First Come First Serve (FCFS), Earliest due date (Due Date), Slack time (Slack), Moore’s Method (Moore), Slack per operation (slack/op) and Critical ratio (CR).

Out of the all these sequencing methods, critical ratio quantifies the degree of urgency of job order compared to the other orders for the given unit. Thus, best sequence would be one that has been derived based on CR which is,

Job No

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