There are painting jobs awaiting at a paint shop. Their processing times and due dates are shown in the table. The firm wants to determine the sequence of jobs according to shortest processing time (SPT). Jobs are assigned a letter in the order day arrived. The utilization is --_%. Today is day 1 and work begins today.
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- 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 listed here. (given) 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 the mean tardiness of all jobs.b. Repeat the calculation in part (a) for EDD scheduling.Three jobs are to be scheduled on two machines A and B. Assume that the jobs are processed in the sequence A-B (A has to finish the job before B can continue the job). The processing times are: Job A B 1 5 4 2 7 7 3 3 5 Draw a Gantt chart that shows the schedule corresponding to the sequence 1-2-3 of the jobs.A computer center has two identical computers for batch processing. Thecomputers are used as parallel processors. Job times are estimated by the user, but experience has shown that an exponential distribution gives an accurate description of the actual job times. Suppose that at a point in time there are eight jobs remaining to be processed with the following expected job times (expressed in minutes):Job 1 2 3 4 5 6 7 8Expected time 4 8 1 50 1 30 20 6a. In what sequence should the jobs be processed in order to minimize theexpected completion time of all eight jobs (i.e., the makespan)?b. Assume that computer A is occupied with a job that has exactly two minutes of processing time remaining and computer B is idle. If job times are deterministic, show the start and end times of each job on each computer using the sequence derived in part (a).
- Three jobs are to be scheduled on two machines A & B . Assume that the jobs are processed in the Sequence A-B. The processing times are : The Question is : Draw a Gantt Chart that shows the Schedule Corresponding to the sequences 1-2-3 of the jobs Job A B 1 5 4 2 7 7 3 3 5Currently a company that designs Web sites has six customers in its backlog. The time since the order arrived, processing time, and promised due dates are given in the following table. Job Time Since Order Arrived (days ago) Processing Time (days) Due Date (days from now) A 6 18 48 B 4 22 52 C 1 30 70 D 10 14 28 E 7 12 56 F 5 20 62 Develop a schedule by using the first-come, first-served (FCFS) rule and calculate the average flow time and average days past due for the schedule. Develop a schedule by using the earliest due date (EDD) rule and calculate the average flow time and average days past due for the schedule. Comment on the performance of the FCFS and EDD rules relative to average flow time and average days past due.The following five overhaul jobs a re waiting to be processed at Avianic's Engine Repair Inc. These jobs were logged as they arrived. All dates are specified as planning calendar days.Assume that all jobs arrived on day 180; today's date is 200 Using the critical ratio scheduling rule, in what sequence would the jobs be processed?
- Jobs A, B, E, F and G must go through Machines M1 and M2 in that sequence. Use Johnson’s Rule to determine the optimal sequence in which to schedule the jobs to minimise the total required time. How much total time is required to process all the seven jobs? Illustrate this using a Gant Chart. Job Processing time on M1 Processing time on M2 A 4 5 B 16 14 C 8 7 D 12 13 E 3 9 F 9 6 G 8 5The company has received 7 special jobs. These jobs have to go through Process X, Process Y and then Process Z in sequence. Each of the processes is operated by a dedicated machine. What is the optimal sequence to schedule the jobs? Show your steps. If there is more than one optimal sequence under the adapted Johnson’s rule, show them all.Given the data below, using the SPT heuristic sequencing rule, determine the completion date and tardiness for each job as well as the average completion time and average tardiness for all four jobs. Which of the following statements is true? Job Processing time (days) Due date (in days) A 10 10 B 5 8 C 15 25 D 8 15 a.Jobs B and D will have no tardiness b.The tardiness for Job A is 12 days c.The average tardiness is 19.75 d.The average completion time is 6.5
- De Law Construction has a gotten some construction jobs to build some starter housing units in a few areas. The building time for each housing unit to be completed as well as the date that each unit is to be completed is shown in the table below. Today is Day 471. Which of the sequences, EDD OR SPT should the company use to sequence the order in which they do the jobs, assuming that because of resource constraints it cannot do the jobs simultaneously? HOUSING UNIT Building Time (days) Due Date Marabella 39 Day 502 Tabaquite 23 Day 528 San Juan 30 Day 515 Mayaro 33 Day 498 D’Abadie 41 Day 535 Preysal 40 Day 510 Some time after starting the jobs according to the sequence you decided on, it was found that because of inclement weather the last three housing units in the sequence have been delayed. You now have to prioritise and decide in which order to expedite those three jobs, using the Critical Ratio model. It is now…On Monday morning, Baxter Industries has the following jobs waiting for processing in two departments, milling, and drilling, in that order. Time Required (hours) Job Mill Drill 216 7 11 327 6 10 462 8 4 519 5 8 258 3 5 617 12 15 Develop a minimum makespan schedule using Johnson's rule. The schedule using Johnson's rule is - - - - - . Choose the correct Gantt chart with the minimum makespan schedule. The correct graph is .The Earliest Due date (EDD) rule for sequencing a given set of jobs usually ____________ Select one: a. minimizes the maximum lateness and tardiness. b. minimizes average flow time and work in process inventory. c. maximizes the average lateness and tardiness. d. minimizes the average lateness and tardiness. e. maximizes the minimum lateness and tardiness.