machines (A, B, and C) in the same order. The processing times are listed below. Use Johnson's Rule to determine the optimal sequence of jobs.
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- The constraints governing the jobs are as fo1lows: A and B are start jobs; A controls C, D and E; B controls F and J; G depends upon C; H depends on D; E and F control I and L; K follows J; L is also controlled by K; G, H, I and L are the last jobs. Draw the network,Diablo Electronics manufactures four unique products (A, B, C, and D) that are fabricated and assembledin five different workstations (V, W, X, Y, and Z) using a small batch process. Each workstation is staffedby a worker who is dedicated to work a single shift per day at an assigned workstation. Batch setuptimes have been reduced to such an extent that they can be considered negligible. A flowchart denotesthe path each product follows through the manufacturing process as shown in Figure 5.2, where eachproduct’s price, demand per week, and processing times per unit are indicated as well. Inverted trianglesrepresent purchased parts and raw materials consumed per unit at different workstations. Diablo canmake and sell up to the limit of its demand per week, and no penalties are incurred for not being able tomeet all the demand.Which of the five workstations (V, W, X, Y, or Z) has the highest utilization, and thus serves as the bottle-neck for Diablo Electronics?Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 • Worker 2: Tasks 4, 5, 6 • Worker 3: Tasks 7, 8, 9 • Worker 4: Tasks 10, 11, 12 What is the direct labor content (in seconds per unit)?
- 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.Courtney is a programmer receiving requests each week to analyze a large data base. Five jobs were on her desk Monday morning, and she must decide in what order to write the code. Assume that all jobs arrived today (day 1 and hour 1), in the order shown below. Courtney has assigned the number of hours required to do the coding as noted. Note that Courtney works an 8-hour day and today is a work day. JOB DUE DATE (HOURS HENCE) 18 36 10 22 14 E a) Sequence the jobs according to EDD. According to the EDD rule, the sequence of jobs should be b) What is the average completion (flow) time? The average completion (flow) time is c) What is the average job lateness? The average job lateness is d) What is the average number of jobs in the system? The average number of jobs in the system is place). DURATION (HOURS REQUIRED) 3 19 4 9 5 days (round your response to one decimal place) days (round your response to one decimal place). jobs (round your response to one decimalThe 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.
- Joe's Twenty-four Seven Laundromat has the following jobs waiting to be processed. The first step of the process includes washing and drying the clothes; the second step is pressing the clothing. Joe wants to minimize the amount of time it takes to do all the jobs. The five jobs waiting to be processed are shown here. Job Wash andDry (hours) Press(hours) A 5 4 B 3 4 C 2 3 D 7 5 E 4 2 Wash and Dry Using FCFS, assume the jobs arrive in the order shown (A, then B, then C, etc.). Show the beginning time for each job and ending time for the whole process adding hours throughout the process. A -0 number of hours B-5 number of hours C-8 number of hours D-10 number of hours E-17 number of hours A B C D E 0 enter a number of hours enter a number of hours enter a number of hours enter a number of hours enter a number of hours enter a number of hours Pressstate whether or not each situation would be considered “compensable time” (and why or why not). An employee of a fast food chain has to arrive at work 15 minutes early to change into the“mascot” costume and it typically takes another 15 minutes at the end of the shift to change outof the costume and properly store it. Due to the cost of the costume, employees are notallowed to take the costume home. The “mascots” typically work from 10am – 2pm, to coverthe lunch rush periods. How much time would be “compensable” for the mascots, assumingthe conditions/schedule listed above?2) George is a Radiology Technician at a local hospital and when on call, is required to be nofurther than 30 minutes away from the facility. Is the “on call” time, compensable?WorkPro is a small manufacturer. It uses a job process for production. The following sample of jobs are listed in the order that they were received. Job Due Date Operation Time P 5 1 Q 20 8 R 8 5 S 11 6 T 3 12 When the shortest operating time (SOT) rule is applied to the sample of jobs, the resulting sequence is: A. Choos the following answer choice. T, P, R, S, Q R, S, T, P, Q P, Q, R, S, T P, R, S, Q, T B. In the WorkPro example above, average flow time for the sample of jobs when sequenced by the shortest operating time (SOT) rule is approximately: 19.8 14.2 4.8 6.4 C. In the WorkPro example above, average lateness for the sample of jobs when sequenced by the earliest due date (EDD) rule is approximately: Group of answer choices 10.4 4.8 7.8 5.8 D. Using the sample of jobs in the WorkPro example above, the shortest operating time (SOT) rule appears more attractive than the earliest due date (EDD) rule…
- 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…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 Sigma before work center Delta. According to Johnson's rule, what sequence of jobs will minimize the completion time for all jobs? Job Sigma Delta R 20 10 S 25 30 T 30 20 U 35 35 V 15 25 Part 2 A. V−S−U−T−R B. V−R−U−S−T C. R−V−T−S−U D. S−U−T−V−R E. R−S−T−U−VAt the University Hospital, five blood samples must bescheduled through a blood-testing laboratory. Eachsample goes through up to four different testing stations.The times for each test and the due dates for eachsample are as follows:Sample Test Station/Hours Due Date (hours)1 A/1, B/2, C/3, D/1 62 B/2, C/3, A/1, D/4 103 C/2, A/3, D/1, C/2 84 A/2, D/2, C/3, B/1 145 D/2, C/1, A/2, B/4 12a. Using a Gantt chart, schedule these five samples in priority order of earliest due date first.b. Assume that the capacity of each test station (A, B, C and D) is doubled. Prepare an FCS for this situation.c. What are the bottleneck work centers in part a of the problem. Suggest capacity additions that might be needed.