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 are waiting for processing through two work centers. Their processing time (in minutes) at each work center is contained in the table below. Each job requires work center Alpha before work center Beta. According to Johnson's rule, which job should be scheduled first in the sequence? O A. V OB. U O C. R OD. S O E. T Job R S T Alpha 20 23 50 26 55 Beta 34 35 20 26 75Given a set ?? = {??1,??2, … ,????} of tasks, where ???? requires ???? units of processing time to finish onceit has started. There is only one computer to run these tasks one at a time. The time before a task ????starts is called its waiting time ????. The goal is come up with a schedule to minimize the overallwaiting time ∑ ???? ????=1 .(1) Give an example to show the greedy choice property and the optimal substructure in thisproblem,(2) Design a greedy algorithm to solve this problem,(3) Analyze the complexity of your algorithm.Jobs A, B, C, and D are in queue at work center 10 before being completed on work center 20. The table below pertains to the jobs and the work centers: (Job, Process time (day) at WC 10, process time (day) at WC 20, Due Date, arriving order). Today is day 1. Job Process Time ABCD Work Center Work Center 10 20 3 4 3 3 3 5 4 1 Due DateArriving order 8 24 18 15 2143 D If the jobs are scheduled by the shortest process time (SPT) rule, the total idle time (total of both WCs) during day 1 through day end (last job finishing date) is: Hint: you need to first determine the job's operation order by SPT rule. Then in each work center, you need to schedule each job's start date and end date on both WCs. 12 11 10 9 None of them
- Currently 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.At 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…Currently a company that designs Web sites has five customers in its backlog. The time since the order arrived, processing time, and promised due dates are given in the following table. The customers are ready to be scheduled today, which is the start of day 190. Customer Time Since Order Arrived (days ago) Processing Time (days) Due Date (days from now) Upper AA 6 18 66 Upper BB 3 24 58 Upper CC 2 32 100 Upper DD 10 22 26 Upper EE 8 12 50 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. Part 2 Using the FCFS (first come, first served) decision rule for sequencing the customers, the order is: Sequence 1 2 3 4 5 Customer D E A B C Part 3 Using…
- At an auto shop, six jobs are currently in queue. Job A B C D E F Arrival order 1 2 3 4 5 6 Processing time (minutes) 33 27 36 28 21 23 Using the shortest processing time scheduling approach, what is the average inventory of jobs in the system? Assume that processing of jobs will start immediately. Note: Round your answer to 2 decimal places.The following 5 overhaul jobs are 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. Calculate the Critical Ratios (CR): (Enter all responses rounded to two decimal places.) Job CR Job Due Date Duration (days) 103 103 214 10 205 205 223 309 309 217 11 412 219 412 517 216 15 517 Assume that all jobs arrived on day 180; today's date is 200.A machine center in a job shop for a local fabrication company has five unprocessed jobs remaining at a particular point in time. The jobs are labeled A, B, C, D, and E in the order that they entered the shop. The respective processing times and due dates are given in the table below. What is the sequence the of jobs by CR rules? Job Processing Time Due Date A 10 32 B. 55 34 C. 11 31 60 35
- Using the SPT (shortest processing time) decision rule for sequencing the jobs, the order is (to resolve a tie, use the order in which the jobs were received): Sequence 1 Job The following jobs are waiting to be processed at Rick Solano's machine center. Solano's machine center has a relatively long backlog and sets a fresh schedule every 2 weeks, which does not disturb earlier schedules. Below are the jobs to be scheduled today, which is day 241 (day 241 is a work day). Job names refer to names of clients and contract numbers. Compute all times based on initiating work on day 241. 2 3 4 5 ... The total flow time for the sequence developed using the SPT rule = days (round your response to two decimal places). The percentage utilization for the sequence developed using the SPT rule = ☐ % (enter your response as a percentage rounded to two decimal places). The average number of jobs in the system for the sequence developed using the SPT rule = jobs (round your response to two decimal…Given 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 tardinessUsing 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.