Question

In: Operations Management

The following jobs are waiting to be processed at Jeremy​ LaMontagne's machine center. Today is day...

The following jobs are waiting to be processed at Jeremy​ LaMontagne's machine center. Today is day 240.

Job

Date job received

Due date

Duration (days)

1

210

270

25

2

215

280

35

3

220

295

45

4

235

315

40

5

240

340

15

Calculate the Critical Ratios​ (CR): ​(Enter all responses rounded to two decimal​ places.)

JOB     CR

1         ?

2         ?

3         ?

4         ?

5         ?

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

Sequence       Job

1                       ?

2                        ?

3                        ?

4                        ?

5                        ?

Solutions

Expert Solution

Answer (i)
Critical ratio is defined as the ratio obtained by dividing the time remaining for due date by the total machine time left for that job.
Critical ratio (CR)= Time remaining before due date/Remaining processing time
Therefore for the given data, the CR will be:

Job Date job received Due date Duration (Days) Days left to due date (Due date-240) CR (Days left to due/Duration)
1 210 270 25 30 1.20
2 215 280 35 40 1.14
3 220 295 45 55 1.22
4 235 315 40 75 1.88
5 240 340 15 100 6.67


Answer (ii)

For scheduling the jobs, just arrange the jobs in the increasing order of their CR.

Job Date job received Due date Duration (Days) Days left to due date (Due date-240) CR (Days left to due/Duration) correct Order for scheduling
1 210 270 25 30 1.20 2
2 215 280 35 40 1.14 1
3 220 295 45 55 1.22 3
4 235 315 40 75 1.88 4
5 240 340 15 100 6.67 5

Therefore, the correct order will be  
2 -> 1 -> 3 -> 4 -> 5

Dear Student,
Please ask, if you have any doubts through the comment section. Do rate the answer


Related Solutions

The following jobs are waiting to be processed at the same machine center. Jobs are logged...
The following jobs are waiting to be processed at the same machine center. Jobs are logged as they arrive: A 313 8 B 312 16 C 325 40 D 314 5 E 314 3 In what sequence would the jobs be ranked according to the following decision rules: (a) FCFS, (b) EDD, (c) SPT, and (d) LPT? Which decision is best and why? All dates are specified as manufacturing planning calendar days. Assume that all jobs arrive on day 275.
The following jobs are waiting to be processed at the same machine center. Jobs are logged...
The following jobs are waiting to be processed at the same machine center. Jobs are logged as they​ arrive: Job   Date Received   Due Date   Duration (days) A             275                    312                  16 B             275                    325                  40 C      275                     314                   5 D            275                     315                   3 E            275                      313                  8 All dates are specified as manufacturing planning calendar days. Assume that all jobs arrive on day 275. Assume each...
The following jobs are waiting to be processed at the same machine center. Jobs are logged...
The following jobs are waiting to be processed at the same machine center. Jobs are logged as they​ arrive:     Job Due Date Duration​ (days) A 315 3 B 313 8 C 312 16 D 325 40 E 314 5 All dates are specified as manufacturing planning calendar days. Assume that all jobs arrive on day 275. Assume each job starts at the beginning of the day and finishes at the end of the day​ (a job that begins on...
The following jobs are waiting to be processed at Rick Solano's machine center. Solano's machine center...
The following jobs are waiting to be processed at Rick Solano's machine center. Solano's machine center has a relatively long backlog and sets a fresh schedule every 2 weeks, which does not disturb earlier schedules. Below are the jobs to be scheduled today, which is day 241(day 241 is a work day). Job names refer to names of clients and contract numbers. Compute all times based on initiating work on day 241. Job Date Job Received Due Date Duration (days)...
The following jobs are waiting to be processed at Rick? Solano's machine center.? Solano's machine center...
The following jobs are waiting to be processed at Rick? Solano's machine center.? Solano's machine center has a relatively long backlog and sets a fresh schedule every 2? weeks, which does not disturb earlier schedules. Below are the jobs to be scheduled? today, which is day 241 ?(day 241 is a work? day). Job names refer to names of clients and contract numbers. Compute all times based on initiating work on day 241. (Job) (Date Job Received) (Due Date Duration...
The table below contains information about five jobs waiting to be processed at work center. Job...
The table below contains information about five jobs waiting to be processed at work center. Job Processing Time (Days.) Days Until Due a 14 15 b 10 20 c 18 18 d 2 16 e 4 21 a. The sequence that would result using the FCFS rule is: e-b-c-d-a c-a-b-e-d a-b-c-d-e d-e-b-a-c e-d-b-a-c       b. The sequence that would result using the SPT rule is: e-b-c-d-a c-a-b-e-d a-d-c-e-b d-e-b-a-c e-d-b-a-c        c. The average flow time (completion time) using the...
Evan Schwartz has six jobs waiting to be processed through his machine. Processing time (in days)...
Evan Schwartz has six jobs waiting to be processed through his machine. Processing time (in days) and due date information for each job are as follows: Job Processing Time Due Date A B C D E F 2 1 5 3 4 7 3 2 12 4 8 11 Sequence the jobs by FCFS, SPT, SLACK, and DDATE. Calculate the mean flow time and mean tardiness of the six jobs under each sequencing rule. Which rule would you recommend?
The following set of seven jobs is to be processed through two work centers at George?...
The following set of seven jobs is to be processed through two work centers at George? Heinrich's printing company. The sequence is first? printing, then binding. Processing time at each of the work centers is shown in the following? table: Job Printing (hours) Binding(hours) T 12 4 U 8 11 V 5 14 W 6 2 X 9 10 Y 3 1 Z 7 13 a-b) Using? Johnson's rule for? 2-machine scheduling, the sequence? is: Scheduled Order Job 1.____ 2....
Which of the following will increase the waiting time in a call center in which the...
Which of the following will increase the waiting time in a call center in which the incoming call gets assigned to the first available server? A. Add more servers B. Implement the shortest processing time first priority rule C. Decrease the variability in servers D. Increase the average service/processing time E. Decrease the interarrival time Both C and D Both D and E C, D, and E
Q4   (a)   A manufacturer has the following jobs waiting on a single work centre. The firm...
Q4   (a)   A manufacturer has the following jobs waiting on a single work centre. The firm has not decided which dispatching rule to apply in order to prioritize the jobs and fix them into the schedule. Processing time and due date for each job are in the Table 4 below. Recommend the best job sequence to the manufacturer using THREE (3) dispatching rules scenario analysis. Table 4: Jobs Information Jobs Information Processing Time (days) Due Date (days) Job 1 3.25...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT