ohnson's rule to determine the following table. JOB A B C D E F G Processing Time (mins) ST1 30 8 10 18 5 15 14 ST2 12 16 9 7 4 5 20 Please write the optimal processing sequence for the six jobs:
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- A nursing home must schedule nurses in a manner that balances providing adequate patient care while keeping costs down. From historical records, administrators can project the minimum number of nurses to have on hand during each day/time slot. This data is shown below. Shift Time Slot Minimum number of nurses needed 1 12 am-4 10 2 4 am-8 6 3 8 am-12 8 4 12 pm-4 12 5 4 pm-8 10 6 8 pm-12 14 Nurses must start work at the beginning of one of the four-hour shifts (starting as early as 12 am midnight or as late as 8pm evening) and work for eight hours. Nurses who begin working at 8 pm will work until 4 am the next morning. Formulate and solve the nurse-scheduling problem so as to minimize excess stagging while satisfying minimum staffing requrements. What is the value of total excess staffing?William Beebe owns a small shoe store. He has 10 pairs of shoes that requireresoling and polishing. He has a machine that can resole one pair of shoes at atime, and the time required for the operation varies with the type and condition of theshoe and the type of sole that is used. Shoes are polished on a machine dedi-cated tothis purpose as well, and polishing is always done after resoling. His assistant generally does the polishing while Mr. Beebe does the resoling. The resoling and polishingtimes (in minutes) are Shoes Resoling Time Polishing Time1 14 32 28 13 12 24 6 55 10 106 14 67 4 128 25 89 15 510 10 5In what order should the shoes be repaired in order to minimize the total makespanfor these 10 jobs?Using the FCFS rule for scheduling, the sequence is Sunny Park Tailors has been asked to make three different types of wedding suits for separate customers. The table below highlights the time taken in hours for cutting and sewing (process 1) and delivery (process 2) of each of the suits Times Taken for Different Activities (hours) Cut and Sew Suit 1 2 3 7 4 5 Deliver 2 3 6 Assume that orders for suits have been listed in the above table in the order in which they were received. C
- The Mowry Machine Shop still has five jobs to be processed as of 8 A.M. today (day 23) at its bottleneck operation. The time since the order arrived, processing time, and promised due dates are given in the following table. The jobs are listed in the order of arrival. Job Time Since Order Arrived (days ago) Processing Time (days) Due Date (days from now) A 11 10 22 B 10 8 13 C 8 4 19 D 6 4 16 E 1 3 30 a. Develop separate schedules by using the FCFS and EDD rules. Compare the schedules on the basis of average flow time and average days past due. Using the FCFS (first come, first served) decision rule for sequencing the jobs, the order is: Sequence 1 2 3 4 5 Job ▼ A E B C D ▼ E C B D A ▼ A B C E D ▼ A B D C E ▼ C B D E AThe Mowry Machine Shop still has five jobs to be processed as of 8 A.M. today (day 23) at its bottleneck operation. The time since the order arrived, processing time, and promised due dates are given in the following table. The jobs are listed in the order of arrival. Job Time Since Order Arrived (days ago) Processing Time (days) Due Date (days from now) A 11 10 22 B 10 8 13 C 8 4 19 D 6 4 16 E 1 3 30 a. Develop separate schedules by using the FCFS and EDD rules. Compare the schedules on the basis of average flow time and average days past due. Using the FCFS (first come, first served) decision rule for sequencing the jobs, the order is: Sequence 1 2 3 4 5 Job A B C D E Using the EDD (earliest due date) decision rule for sequencing the jobs,…JOHNSON’S RULE Five specialty jobs at a La Crosse, Wisconsin, tool and die shop must be processed through two workcenters (drill press and lathe). The time for processing each job follows:Work (processing) Time for Jobs (hours)JOBWORK CENTER 1(DRILL PRESS) WORK CENTER 2(LATHE)A5 2B3 6C8 4D 10 7E 7 12
- The operations manager of a body and paint shop has five cars to schedule for repair. The estimates of the times required to do the body and paint work on each are as follows: Using Johnson's Rule to minimize total duration, the correct sequence of these five jobs is; a. DCAEB b. DBECA c. BEACD d. ACEBD Car Body Work (Hours) Paint (Hours) A 8 7 B 9 4 C 7 9 D 3 4 E 12 5A group of six jobs is to be processed through a two-machine flow shop. The first operation involves cleaning and the second involves painting. Determine a sequence that willminimize the total completion time for this group of jobs. Processing times are as follows:PROCESSING TIME (hours)Job Work Center 1 Work Center 2A 5 5B 4 3C 8 9D 2 7E 6 8F 12 15 To employ Johnson’s rule, create a “blank” sequence first, such as:mhhe.com/stevenson13eEXAMPLE 41st 2nd 3rd 4th 5th 6thUsing the FCFS rule for scheduling, the sequence is 1-2-3 For the schedule developed using the FCFS rule, the total length of time taken to complete the three suits (including delivery) : hours (enter your response as a whole number). = G Sunny Park Tailors has been asked to make three different types of wedding suits for separate customers. The table below highlights the time taken in hours for cutting and sewing (process 1) and delivery (process 2) of each of the suits. Times Taken for Different Activities (hours) Cut and Sew 3 5 6 Suit 1 2 7 3 Deliver 4 2 ∞ N 8 Assume that orders for suits have been listed in the above table in the order in which they were received.
- In a school, there are four teachers X1,X2,X3,X4 and five batches Y1,Y2,Y3,Y4,Y5. Given that teacher Xi is required to teach batch Yj for Pij periods, schedule a complete routine in the minimum possible number of periods. The matrix is given below: X1 X2 X3 X4 Y1 2 2 -- -- Y2 1 Y3 -- -- Y4 | 1 2 1 -- Y5 1 1 -- -- Remember there are only 3 class rooms available.A bank's mortgage department must process the following six jobs to maximize client satisfaction. Mortgage Processing Time (days) Due Date 1 18 46 2 11 10 3 22 80 4 10 29 5 21 40 6 23 65 What sequencing rule should you use? The most appropriate sequence rule is EDD FCFS SPT The best sequence is : 1-6, 1-6,1-6,1-6,1-6,1-6A manufacturer is designing a product layout for a new product productionIt plans to use a production line for 8 hours per day in order to meet forecasted demand of 70 units per day. The product requires 7 tasks in total. These tasks are namelyABC, D, E, F, and Grespectively. Task A does not have any predecessor to startTo start Task B.it requires Task A to be completedStarting tasks needs, the task B to be completed. Also, starting task Dneeded task B to be completed. Task E can only start upon completion of Task C. Whereas starting task F needs the completion of both the tasks D and E. Finally, starting task G needed task Fto be completed. The processing times for tasks, ABC, D. E. and G are 2.8, 2.1, 0.9, 1.0, 1.2, 1.8 and 4.7 minutes respectively. What should be the cycle time in minutes? a 4.7 b. None is the correct answer Oc 7.5 d6.86 e.