Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- 15arrow_forwardAt 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.arrow_forwardThe following six jobs are to be scheduled on a single machine: Job 1 2 3 4 5 6 Processing time 130 160 210 70 140 90 (min.) a. 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: Average flow time: b. In what order would the jobs be processed using the SPT rule? The SPT sequence is -Select---Select---Select---Select---Select- V -Select- V. 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 -Select- minutes minutes ✓ minimizes flow time and gets the most work done in the least amount of time.arrow_forward
- Problem 2: Suppose you observe the following arrivals and departures from a single-server queueing system. Observations begin at time 100.0 (with no one in the queue) and end at 120.0. Customer Time Customer # Arrives to Queue 83 84 85 86 87 88 89 90 91 100.4 101.5 105.1 106.8 108.1 113.5 117.9 118.0 119.9 Time Customer Departs from Queue and Goes Into Service 102.3 108.3 109.5 110.6 112.9 114.2 117.9 119.2 After 120.0 Time Customer Departs From Server 108.3 109.5 110.6 112.9 114.2 116.3 119.2 After 120.0 After 120.0 1) What is the sample mean, sample standard deviation, minimum, and maximum of the waiting time in the queue observed for the customers who arrived at, and departed from, the queue during the time interval [100.0, 120.0]?arrow_forwardCurrently 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…arrow_forwardCourtney 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. DURATION (HOURS REQUIRED) 14 7 2 JOB ABCDE DUE DATE (HOURS HENCE) 36 14 16 6 26 6 10 a) Sequence the jobs according to EDD. According to the EDD rule, the sequence of jobs should be D, B, C, E, A. b) What is the average completion (flow) time? The average completion (flow) time is 19.6 days (round your response to one decimal place). c) What is the average job lateness? The average job lateness is 0.6 days (round your response to one decimal place). d) What is the average number of jobs in the system? The average number of jobs in the system is jobs (round your response to one decimal…arrow_forward
- The following jobs are waiting to be processed atJeremy LaMontagne’s machine center. Today is day 250. Using the critical ratio scheduling rule, in what sequencewould the jobs be processed?arrow_forwardA new surgical facility called Cut & Sew has opened in the United States. The branches of the facility are spread throughout the country. These are job shops that handle a variety of outpatient surgical procedures. The process of the facility is set up in a way that one doctor will cut and another will sew. The data regarding the patients and the estimated time for cutting and sewing for each patient are given in the following table: Patient A Cut Time (hours) 2.3 2.5 Sew Time (hours) 2.8 3.0 1.5 1.0 2.8 IB 2.0 0.6 3.8 If we apply the following sequence B-C-D-A-E, the makespan is place). Type your precise answer (one decimal Your Answer: Answerarrow_forwardsniparrow_forward
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