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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 11The Mowry Machine Shop still has five jobs to be processedas of 8 a.m. today (day 23) at its bottleneck operation. The daywhen the order arrived, processing time, and promised duedates are given in the following table. The jobs are listed inthe order of arrival.a. Develop separate schedules by using the FCFS and EDDrules. Compare the schedules on the basis of averageflow time and average days past due.b. Which rule gives the best schedule, in your judgment?Why?2. Production Schedule is a Mess Henry Gantt greatly contributed to the classical management system method. He created none other than: The Gantt chart, and also, the task and bonus system- still used to this day. The task and bonus plan which rewarded workers for faster work by paying them higher wages to get the job done before the standard time, and their pay was docked if it took them longer to complete the task than standard. The Gantt chart ensured companies and organizations with understanding of basic structure and priority of events. I believe in problem number two, Gantt could contribute his methods that he created and fix the production schedule with a simple Gantt chart for the employees to follow, as the production schedule is a mess. It is not clear which projects should be completed first to ensure products are being delivered to customers on time. With this issue fixed, the deliveries would be on time, motivation would rise, and productivity would follow suit. When…
- The following table contains information concerning four jobs that are awaiting processing at awork center.JobJob Time(days)Due Date(days)A 14 20B 10 16C 7 15D 6 17a. Sequence the jobs using (1) FCFS, (2) SPT, (3) EDD, and (4) CR. Assume the list is by orderof arrival.b. For each of the methods in part a, determine (1) the average job flow time, (2) the average tardiness, and (3) the average number of jobs at the work center.c. Is one method superior to the others? Explain.An Alabama lumberyard has four jobs on order, asshown in the following table. Today is day 205 on the yard’s schedule.JOB DUE DATE REMAINING TIME (DAYS)A 212 6B 209 3C 208 3D 210 8 In what sequence would the jobs be ranked according to the fol-lowing decision rules: a) FCFS b) SPT c) LPTd) EDD e) Critical ratioBrown's Machining has three jobs with the routings and processing times (in minutes) as indicated on its drill press, lathe, milling machine, and grinder. It uses an LWR dispatching rule. Job 1: D(15), L(25), G(45) Job 2: D(20, M(25), G(30) Job 3: G(25), L(25), D(15), M(15) What time is Job 1 completed?
- Use Johnson's rule to obtain the optimum sequence of jobprocessing for the following jobs through a two-machine flow shop. Each jobmust follow the sequence of job processing Machine - 1 first, followed byMachine - 2 . All job times listed are in hours. (In Excel with formulas)Job Machine-1 Machine-2A 2.8 4.5B 4 1.7C 2.5 3.3D 5.5 3.7E 4 1.50a. Draw the precedence diagram for the processesb. Design a process layout with minimum number of workstations that would achieve thedaily production target without violating the precedence constraints c. Is it possible to issue a card per applicant every 5 minutes and why? d. How efficient is your line? e. Determine the balance delayGiven this list of tasks, how much idle time is at station 3 if the cycle time is 15 minutes and the Longest Operation Time heuristic is used? Task Duration (min) Predecessor A 8 -- B 7 A C 9 B D 6 C E 7 C F 7 D,E G 9 F H 12 G ANSWER Unselected 3 minutes Unselected 2 minutes Unselected 1 minute Unselected I DON'T KNOW YET
- Twelve tasks, with times and precedence requirements as shown in the following table, are tobe assigned to workstations using a cycle time of 1.5 minutes. Two heuristic rules will be tried:(1) greatest positional weight, and (2) most following tasks.In each case, the tiebreaker will be shortest processing time. TaskLength(minutes)ImmediatePredecessora 0.1 —b 0.2 ac 0.9 bd 0.6 ce 0.1 —f 0.2 d, eg 0.4 fh 0.1 gi 0.2 hj 0.7 ik 0.3 jl 0.2 k a. Draw the precedence diagram for this line.b. Assign tasks to stations under each of the two rules.c. Compute the percentage of idle time for each ruleThe following jobs are waiting to be processed at thesame machine center. Jobs are logged as they arrive:JOB DUE DATE DURATION (DAYS)A 313 8B 312 16C 325 40D 314 5E 314 3 In what sequence would the jobs be ranked according to the follow-ing decision rules: (a) FCFS, (b) EDD, (c) SPT, and (d) LPT? All dates are specified as manufacturing planning calendar days. Assumethat all jobs arrive on day 275. Which decision is best and why?A Manufacturing Corp. with three-station work cell has the process displayed below. Each workstation has only one worker to the assigned activity. Single order arrives every 7.5 hours.a) What is the minimum throughput time and WIP of this work cell?b) What is the maximum throughput? IN Station 1 OUTTask Time: 3 hrs.Station 2Task Time: 5 hrs.Station 3Task Time: 2 hrs ??
