17-13. Jobs processed through Percy's machine shop pass through three operations: milling, grinding, and turning. The hours required for each of these operations is as follows: Job Milling Grinding Turning A 5 1 4 B 2 2 5 C 3 2 1 D 1 3 E 1 2 Sequence the job by (a) FCFS and (b) shortest processing time (SPT). Make a Gantt chart for each machine and each rule. Which sequencing rule would you recommend?
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- 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 11Given the following information on job times and due dates. Job Job Time(Hours) Due Date(Hours) a 3.5 7 b 2.0 6 c 4.5 18 d 5.0 22 e 2.5 4 f 6.0 20 a-1. Determine the optimal processing sequence using (1) First come, first served, (2) Shortest processing time, (3) Earliest due date, and (4) Critical ratio. Sequence for First come, first served Sequence for Shortest processing time Sequence for Earliest due date Sequence for Critical ratio a-2. For each method, find the average job flow time and the average job tardiness. (Round your answers to 2 decimal places.) First Come, FirstServed Shortest ProcessingTime Earliest Due Date Critical Ratio Average flow time Average job tardinessGiven the following information on job times and due dates, determine the optimal processingsequence using (1) FCFS, (2) SPT, (3) EDD, and (4) CR. For each method, find the average jobflow time and the average job tardiness. Jobs are listed in order of arrival.JobJob Time(hours)Due Date(hours)a 3.5 7b 2.0 6c 4.5 18d 5.0 22e 2.5 4f 6.0 20
- A manutacturer is designing a product layout for a new product production. It plans to use a production line for B hours per day in order to meet forecasted demand of 100 units per day. The product requires 7 lasks in total. These tasks are namely, A, 8, CD, E, F, and G respectively. Task A does not have any predecessor to start. To start Task B, it requires Task A to be completed Starting tasks Cneeds, the tack B to be completed. Also, starting task D needed task B to be completed Task E can only start upon completion of Task C. Whescas starting lask F needs the completion of both the tasks D and E Finally, starting task G needed, task Fto be completed. 1the processing times for tasks, A BC D, E F, andG are 28, 2.1, 0.9, 1.0, 1.2, 1.8, are 4.7 minutes respectively. Applying the most following tasks nule for balancing the assembly line, with ties broken according to longest task time first, the tasks that will be assigned to the FIRST workstation are Select one OaAB, and C ODAB Oc None…The times required to complete each of eight jobs in a two-machine flow shop are shown in the table that follows. Each job must follow the same sequence, beginning with machine A and moving to machine B. TIME (hours) Job Machine A Machine B a 16 5 b 3 13 c 8 7 d 9 6 e 2 14 f 14 4 g 18 14 h 20 11 Find machine B’s idle time For the sequence determined in part a, how much would machine B's idle time be reduced by splitting the last two jobs in half?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 10
- Eight jobs have arrived in the following order: Job Processing Time Due Date 1 7 23 2 3 9 3 5 8 4 2 11 5 6 16 6 9 18 7 14 40 8 4 31 Find and compare the performance measures for the following sequencing rules using the Excel Sequencing template. Round your answers to two decimal places. Process in the order they have arrived Flow Time Lateness Tardiness AverageThe following table shows orders to be processed at a machine shop as of 8:00 a.m. Monday. The jobs have different operations they must go through. Processing times are in days. Jobs are listed in order of arrival. Job Processing Time (Days) Due Date (Days) Remaining Number of Operations A 8 20 2 B 10 18 4 C 5 25 5 D 11 17 3 E 9 35 4 Click here for the Excel Data File a. Determine the processing sequence at the first work center using each of these rules: (1) First come, first served, (2) Slack per operation. (Hint: In case of a tie choose the jobs in alphabetical order.) b. Compute the effectiveness of each rule using each of these measures: (1) average completion time, (2) average number of jobs at the work center. (Round your answers to 2 decimal places.)uestion 2:ID:_________________________Three jobs are to be scheduled on two machines A and B. Assume that the jobs are processed in the sequence A-B. The processing times are: JobA1 2 35 7 3B4 7 5Draw a Gantt chart that shows the schedule corresponding to the sequence 1-2-3 of the jobs.
- Using the information presented in the following table, identify the processing sequence that wouldresult using (1) FCFS, (2) SPT, (3) EDD, and (4) CR. For each method, determine (1) average jobflow time, (2) average job tardiness, and (3) average number of jobs in the system. Jobs are listedin order of arrival. (Hint: First determine the total job time for each job by computing the total processing time for the job and then adding in the setup time. All times and due dates are in hours.)JobProcessingTime per UnitUnitsper JobSetupTimeDueDatea .14 45 0.7 4b .25 14 0.5 10c .10 18 0.2 12d .25 40 1.0 20e .10 75 0.5 15The following six jobs are to be scheduled on a single machine: Job 1 2 3 4 5 6 Processing time (min.) 110 120 220 90 180 80 Suppose the jobs are processed in FCFS numerical order. Compute the makespan, flow time for each job, and overall average flow time. Round your answers to the nearest whole number. Job Flow Time (min) 1 2 3 4 5 6 Makespan: minutes Average flow time: minutes In what order would the jobs be processed using the SPT rule? The SPT sequence is - - - - - . Compute the average flow time after each job is completed. Round your answer to the nearest whole number. Average flow time: minutes Compare this answer with your answer to part a. The minimizes flow time and gets the most work done in the least amount of time.Five jobs must be scheduled for batch processing on a mainframe computer system. The processing times and the promised times for each of the jobs are listedhere.Job 1 2 3 4 5Processing time 40 min 2.5 hr 20 min 4 hr 1.5 hrPromised time 11:00 A.M. 2:00 P.M. 2:00 P.M. 1:00 P.M. 4:00 P.M.Assume that the current time is 10:00 A.M.a. If the jobs are scheduled according to SPT, find the tardiness of each job and themean tardiness of all jobs.b. Repeat the calculation in part (a) for EDD scheduling