Consider a workstation that has one maintenance mechanic to repair failed machines. We can think of the mechanic as the processor (scarce resource) and the machines awaiting repair as the jobs. Let us assume thatsix machines are down, with estimated repair times given here, and that no new machines fail.2 3 4Job (fixmachine #)Processing time(hours)Compute the flow time for each job using both the FCFS rule and the SPT rule, and compare the average flow times. Round your answers for average values to the nearest whole number.1NO †456Sequence-Seled-Average flow time (FCFS rule):-Select- Y-Select--Select- VFCFS Rule-Select- Y7 1Flow Time (hours)SPT ruleFlow Time (hours)hoursAverage flow time (SPT rule):hours-Select- ✔ minimizes flow time and gets the most work done in the least amount of time.

JobProcessing Time1923374151064

Answered: Consider a workstation that has one…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A tractor shop that is staffed only by one employee. Suppose that the arrival table corresponds to a Poisson process, so that service times follow exponential distributions. Let us consider that, after observing the evolution of the workshop, it is estimated that the arrival rate is 10 vehicles per day and that the service time is one hour. Assuming that the employee fixes the tractors in strict order of arrival and taking a 12-hour working day, the following questions are asked: a) Average time each tractor must wait to be repaired. b) Probability that a tractor is in the workshop for more than one day. c) Average time that a vehicle is in the system.
Customers arrive at the rate of 15 per hour and the average processing time isthree minutes. What is the server’s utilization?
Please do not give solution in image format thanku
In order to meet holiday demand, Penny's Pie Shop requires a production line that is capable of producing 50 pecan pies per week, while operating only 40 hours per week. There are only 4 steps required to produce a single pecan pie with respective processing times of 5 min, 5 min, 45 min and 15 min. a. What should be the line's cycle time? minutes per pie. (Enter your response as an integer.) b. What is the smallest number of workstations Penny could hope for in designing the line considering this cycle time? c. Suppose that Penny finds a solution that requires 3 stations. What would be the efficiency of this line? %. (Enter your response rounded to two decimal places.) stations. (Enter your response rounded up to the next whole number.)
The 4M company has a lathe as the centerpiece of the plant's work. The jobs arrive according to a Poisson process with an average rate of 2 per day. The processing time of each job is exponentially distributed with an average of 1/ 4 day. Since the jobs are large, if they are not in process they are stored in a warehouse some distance from the machine. However, to save time in bringing them in, the production manager proposes to add space for 3 in-process jobs in addition to the one on the lathe (the rest will continue to be stored). With this proposal, what proportion of the time will the space next to the lathe be adequate for the waiting jobs? Calculate your answer using the formulas available.
Consider the following process at a pharmacy. Customers drop off their prescriptions either in the drive-through counter or in the front counter of the pharmacy. Customers can request that their prescription be filled immediately. In this case, they must wait between 15 minutes and one hour depending on the current workload. Most customers are not willing to wait that long, so they opt to nominate a pick-up time at a later point during the day. Generally, customers drop their prescriptions in the morning before going to work (or at lunchtime) and they come back to pick up the drugs after work, typically between 5pm and 6pm. When dropping their prescription, a technician asks the customer for the pick-up time and puts the prescription in a box labelled with the hour preceding the pick-up time. For example, if the customer asks to have the prescription be ready at 5pm, the technician will drop it in the box with the label 4pm (there is one box for each hour of the day). Every hour, one…
Suppose for a particular process that the bottleneck cycle time is 54 seconds, and raw processing time is 345 seconds. If there are 4 customers in this system already, and then you walk up and join the line at Station 1, what is your expected lead-time to move through the entire process? Whole number value, no decimals.
Consider a workstation that has one maintenance mechanic to repair failed machines. We can think of the mechanic as the processor (scarce resource) and the machines awaiting repair as the jobs. Let us assume that six machines are down, with estimated repair times given here, and that no new machines fail. 1 2 3 Job (fix machine #) Processing time 10 (hours) Job 1 2 3 4 5 6 2 Compute the flow time for each job using both the FCFS rule and the SPT rule, and compare the average flow times. Round your answers for average values to the nearest whole number. FCFS Rule 9 Flow Time (hours) Average flow time (FCFS rule): 4 5 6 1 8 6 hours
DreamInflate is a balloon manufacturing company. Balloon manufacturing consists of seven work stations, each performing a single step as indicated in the table below. There are five workers manned for the seven work stations as shown. Assume the workers are paid $15 per Worker Task Sequence Processing Time (secs/balloon) Task Dye production Electrocharging Dipping (Cold and Hot) Mortar Dipping Balloon inflation and delaltexing Vulcanization Inspection/Testing 1 30 w1 20 3 35 W2 25 W3 30 W4 6. 45 W5 7 40 hour. Each balloon pack is sold for $6 and has a variable cost of $1. The company has fixed costs of $200 per hour. There is more demand than the overall production system can provide. Based on the information provided, answer the following questions: • What is the cost of direct labor for balloons? • How much profit does DreamInflate make every hour? (note that the cost of direct labor is also a variable cost). What would the profit of DreamInflate be if the variable costs were 10…
Apply the four popular sequencing rules to the five jobs shown in the table below. For each sequence determine: The average completion time (sum of total flow time/number of jobs) Utilisation measure (Total job work time/Sum of total flow time) Average number of jobs in system (Sum of total flow time/Total job work time) Average job lateness (Total late days/Number of jobs) Job Due Job Work (Processing) Time Date (Days) (Days) 8 6 18 15 23 Job ABCDE 6 W ∞ NO 6 2 8 3 9
Patients are arriving at a clinic at a rate of two per minute. Each patient's visit consists of four steps: check in, record vital signs, receive treatment, and check out. A receptionist takes 1 minute to check a patient in. A nurse takes 2 minutes to record the patient's vital signs. A doctor spends 10 minutes with a patient. A staff member takes 3 minutes to check a patient out. What is the process capacity in patients per hour?
A server is idle 10 percent of his time. What is the server’s utilization?

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