In a school, there are four teachers X1,X2,X3,X4 and five batches Y1,Y2,Y3,Y4,Y5. Given that teacher Xi is required to teach batch Yj for Pij periods, schedule a complete routine in the minimum possible number of periods. The matrix is given below: X1 X2 X3 X4 Y1 2 2 -- -- Y2 1 Y3 -- -- Y4 | 1 2 1 -- Y5 1 1 -- -- Remember there are only 3 class rooms available.
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- 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…William Beebe owns a small shoe store. He has 10 pairs of shoes that requireresoling and polishing. He has a machine that can resole one pair of shoes at atime, and the time required for the operation varies with the type and condition of theshoe and the type of sole that is used. Shoes are polished on a machine dedi-cated tothis purpose as well, and polishing is always done after resoling. His assistant generally does the polishing while Mr. Beebe does the resoling. The resoling and polishingtimes (in minutes) are Shoes Resoling Time Polishing Time1 14 32 28 13 12 24 6 55 10 106 14 67 4 128 25 89 15 510 10 5In what order should the shoes be repaired in order to minimize the total makespanfor these 10 jobs?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 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.An independent accountant is planning to prepare tax returns for six of her clients.Prior to her actually preparing each return, her secretary checks the client’s file to besure all the necessary documentation is there and obtains all the tax forms needed forthe preparation of the return. Based on past experience with the clients, her secretaryestimates that the following times (in hours) are required for preparation of the returnand for the accountant to complete the necessary paperwork prior to filing each return:Client Secretary Time Accountant Time1 1.2 2.52 1.6 4.53 2.0 2.04 1.5 6.05 3.1 5.06 0.5 1.5In what order should the work be completed in order to minimize the total timerequired for all six clients?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?
- A company assembles a product that consists of three pieces called AA, BB, and CC. The AA and BB parts are manufactured by the company itself, while the CC parts are purchased from another manufacturer. The process times, in hours, required for each piece in each of the processes are given in the following table: Process 1 Process 2 Process 3 Process 4 Process 5 AA 1 0.5 0.5 BB 1.5 0.5 0.5 0.5 The company has 20 machines that can carry out process 1, 5 process 2, 10 process 3, 5 process 4 and 5 process 5. Each machine works a maximum of five days each week at a rate of fifty weeks a year , in working days of 8 hours a day. Formulate and solve to determine the maximum number of assembled sets that you can produce.b. The Healthy Food Restaurant, a 24-hour restaurant, faces changing requirements from hour tohour. More workers are needed for peak hours, and fewer are needed in between. The followingTable 6 (below) shows the worker requirement for the first 12 hours in the restaurant:Table 6. Staff Requirement at the Healthy Food RestaurantTime Period 10AM11AM12PM1PM2PM3PM4PM5PM6PM7PM8PM9PMRequirement 8 10 12 12 9 7 6 7 9 10 12 8AssignedOn DutyOverstaffed8(i) You are required to apply the first-hour principle to staff each hour with the required number ofcafeteria staff, showing how many staff are on duty each given hour, the number of staffyou have assigned to work each hour and any overstaffing for each hour. i. Schedule the staff to work in 8-hour shifts.The manager of the Personnel Department at City Enterprises has been reading about time-driven ABC and wants to apply it to her department. She has identified four basic activities her employees spend most of the their time on: Interviewing, Hiring, Assessment, and Separation Processing. The department employs 5 staff who perform these activities. The manager provides the following estimates for the amount of time it takes to complete each of these activities: Interviewing: 45 minutes. Hiring: 60 minutes. Assessment: 75 minutes. Separation Processing: 90 minutes. Employees in Personnel work 35-hour weeks with four weeks for vacation. Of the 35 hours, five are reserved for administrative tasks, training, and so on. The costs of the Personnel Department, including any allocated costs from other staff functions, are $972,000. During the year, Personnel conducted 1,200 interviews, made 375 hires, made 3,000 assessments, and had 250 separations. The manager of the Personnel…
- 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 35An electric cintractors record during the last five weeks indicate the number of job requests predict the numver of request for week 6 using each of these methids 1. Naive 2 four period moving average Exponential smoothing with alpha=.30 usr 20 for week 2 forcast Where week 1 n request is 20 week 2 request is 22 week 3 request is 18 week 4 request is 21 week 5 request is 22WorkPro 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…