Determine the sequence of the jobs in order to minimize number of tardy jo
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- The efficiency of five machines on each of the five jobs is given in the following table. Determine the assignment schedule of the job to the machines such that the total efficiency is maximum. Job Machine 1 2 3 4 5 I 62 78 50 101 82 II 70 85 60 75 55 III 88 96 118 85 71 IV 48 64 87 77 80 V 60 70 98 66 83Six jobs are to be processed through a two-step opera- tion. The first operation involves sanding, and the second involves painting. Processing times are as follows: JOB OPERATION 1 (HOURS) OPERATION 2 (HOURS) A 10 5 B7 4 C5 7 D3 8 E2 6 F4 3 Determine a sequence that will minimize the total completion time for these jobs. Illustrate graphically.A 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 6th
- A shoe repair operation uses a two-step sequence that all jobs in a certain category follow. Alljobs can be split in half at both stations. For the group of jobs listed:a. Find the sequence that will minimize total completion time.b. Determine the amount of idle time for workstation B.c. What jobs are candidates for splitting? Why? If they were split, how much would idle time andmakespan time be reduced?JOB TIMES (minutes)A B C D EWorkstation A 27 18 70 26 15Workstation B 45 33 30 24 10Artificial intelligence method exercise: Consider 5 jobs having the processing times pj, due-dates dj and the weights wj of the jobs j=1, ..., 5, given in the table: Jobs 1 2 3 4 5 pj 10 6 5 4 2 dj 12 9 14 8 3 wj 5 10 5 1 3 Calculate the following for the schedule: <5, 2, 3, 1, 4> showing your steps:(i) the total weighted completion time (ii) the maximum lateness (iii) the number of tardy jobs2. The operations manager of an assembly and paint shop has five trucks to schedule for repair. He would like to minimize the throughput time (makespan) to complete all work on these cars. Each truck requires assembly prior to painting. The estimates of the times required to do the assembly and paint work on each are as follows:Use Johnson's rule to sequence these five jobs for minimum total duration. Show your step by step work in determining the job sequence and calculate the total duration of finishing assembly and painting operations on all the five trucks ?
- The times required to complete each of eight jobs in a two-machine flow shop are shown in thetable that follows. Each job must follow the same sequence, beginning with machine A and moving to machine B.a. Determine a sequence that will minimize makespan time.b. Construct a chart of the resulting sequence, and find machine B’s idle time. c. For the sequence determined in part a, how much would machine B’s idle time be reduced bysplitting the last two jobs in half?TIME (hours)Job Machine A Machine Ba 16 5b 3 13c 9 6d 8 7e 2 14f 12 4g 18 14h 20 11At the campus copy shop, six jobs have arrived in the order shown (A, B, C, D, E, and F) at the beginning of the day 1 (today, which is a work day). All of the jobs are due at various times today. Your job is to evaluate four common sequencing rules. JOB DUE (IN HOURS) DURATION (HOURS REQUIRED) A 8 (this job is due in 8 hours) 1.65 B 5.5 (this job is due in 5.5 hours) 1.20 C 4.5 (this job is due after lunch in 4.5 hours) 0.85 D 6 (this job is due in 6…Seven jobs are to be processed through a single machine. The processing times anddue dates are given here.Job 1 2 3 4 5 6 7Processing time 3 6 8 4 2 1 7Due date 4 8 12 15 11 25 21Determine the sequence of the jobs in order to minimizea. Mean flow time.b. Number of tardy jobs.c. Maximum lateness.d. What is the makespan for any sequence?
- There are 6 jobs which go through two machines A and B in the order A-B. Processing time in hours) is given here. Determine the optimal sequence of processing the jobs and total minimum elapsed time. Find the idle time on machine B. Job 1 2 3 5 6 Machine A 8 10 11 12 16 20 Machine B 7 15 10 14 13 9Completion of three activities is required to accomplish a job. The administrator would liketo know if differences in the arrangement of the three activities results in different jobaccomplishment times. He selects three workers and demonstrates the activities in random orderto them. Then each worker accomplishes the job with each of the activity arrangements. Thecompletion times are recorded. The following table shows the minutes for each worker toaccomplish each job. Arrangements Workers Time Consumed (minutes) Mr. X Mr. Y Mr. ZA 22.4 18.6 21.5B 19.2 20.2 20.7C 20.3 17.0 20.4 Using one percent level of significance, answer following questions:i. Is there a difference in job accomplishment times among different arrangements?ii. Is there a difference in job accomplishment times between the workers?Amanufacturer is designing a product layout for a new product production. It plans to use a production line for 8 hours per day in order to meet forecasted demand of 150 units per dayThe product requires 7 tasks in total. These tasks are namely, ABC, DE, Fand GrespectivelyTask A does not have any predecessor to start. To start Task B, it requires Task A to be completedStarting tasks C needs, the task B to be completed. Also starting task D needed 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 and E. Finally, starting task G needed, task F to be completed. The processing times for tasks, AB 3, C, D, E, F , and Gare are2.4,2.2,0.9, . 10.12. 1.8. are 1.5 minutes respectively. What should be the cycle time in minutes? .4.80 O2.67. c 4.56 d is the correct answer e3.20