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.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 26P

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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
The time from when a patient is discharged from NorthShore Hospital to the time the discharged patient’s bed isready to be assigned to a new patient is referred to as thebed assignment turnaround time. If the bed turnaroundtime is excessive, it can cause problems with patient flowand delay medical procedures throughout the hospital. Thiscan cause long waiting times for physicians and patientsthus creating customer dissatisfaction. The admissions RNhas assigned a patient care associate to measure the bedturnaround time for a randomly selected bed each morning,afternoon, and evening for 30 days. Following are the bedturnaround time sample observations:a. Develop an x-chart to be used in conjunction with anR-chart using 3 limits to monitor the bed turnaroundtimes and indicate if the process is in control usingthese charts.b. Is the hospital capable of consistently achieving bedturnaround times of 120 minutes 15 minutes withoutimproving the process?
Katie Posh runs an upscale nail salon. The service process includes five activities that are conducted in the sequence described below. (The time required for each activity is shown in parentheses): Activity 1: Welcome a guest. (1 minute) Activity 2: Clip and file nails. (3 minutes) Activity 3: Paint. (5 minutes) Activity 4: Dry. (10 minutes) Activity 5: Check out the customer. (4 minutes) Three servers (S1, S2, and S3) offer the services in a worker-paced line. The assignment of tasks to servers is the following: S1 does Activity 1. S2 does Activities 2 and 3. S3 does Activities 4 and 5. The drying process does not require server 3’s constant attention; she/he needs to only escort the customer to the salon’s drying chair (equipped with fans for drying). The time to do this is negligible. There exists only one drying chair in the salon. What is the utilization of server 2 (in decimal form)? Assume that there is unlimited demand and that the process only admits customers at the rate…
A critical resource in a manufacturing operation experiences a very high traffic intensity during the shop’s busiest periods. During these periods the arrival rate is approximately 57 jobs per hour. Job processing times are approximately exponentiallydistributed with mean 1 minute.a. Compute the expected flow time in the system assuming an FCFS processingdiscipline, and the expected flow time under SPT using Figure 9–13
A lab provides ultrasound service to patients. The service process consists of two steps: 1. Registration. Performed by a receptionist (Salary rate = $25/hr; Process time = 6 minutes/patient) 2. Ultrasound scan. Performed by a technician (Salary rate = $30/hr; Process time = 20 minutes/patient) Note that the ultrasound images need to be read by radiologists, but we assume that they have an ample capacity and thus will not model the role in the service process. Currently, the lab has 2 receptionists and 3 technicians. The manager anticipates demand to grow to 14 patients/hr in the near future. Thus, he plans to hire more receptionists and/or technicians to increase the service capacity to at least 14 patients/hr. What would be the extra payroll cost (in dollars per hr)?
Posh Nails Katie Posh runs an upscale nail salon. The service process includes five activities that are conducted in the sequence described below. (The time required for each activity is shown in parentheses): Activity 1: Welcome a guest. (1 minute)Activity 2: Clip and file nails. (3 minutes)Activity 3: Paint. (5 minutes)Activity 4: Dry. (10 minutes)Activity 5: Check out the customer. (4 minutes)Three servers (S1, S2, and S3) offer the services in a worker-paced line. The assignment of tasks to servers is the following: S1 does Activity 1. S2 does Activities 2 and 3. S3 does Activities 4 and 5. The drying process does not require server 3’s constant attention; she/he needs to only escort the customer to the salon’s drying chair (equipped with fans for drying). The time to do this is negligible. There exists only one drying chair in the salon. What is the average labor utilization of the servers (in decimal form)? Assume that there is unlimited demand and that the process only admits…
Posh Nails Katie Posh runs an upscale nail salon. The service process includes five activities that are conducted in the sequence described below. (The time required for each activity is shown in parentheses): Activity 1: Welcome a guest. (1 minute)Activity 2: Clip and file nails. (3 minutes)Activity 3: Paint. (5 minutes)Activity 4: Dry. (10 minutes)Activity 5: Check out the customer. (4 minutes)Three servers (S1, S2, and S3) offer the services in a worker-paced line. The assignment of tasks to servers is the following: S1 does Activity 1. S2 does Activities 2 and 3. S3 does Activities 4 and 5. The drying process does not require server 3’s constant attention; she/he needs to only escort the customer to the salon’s drying chair (equipped with fans for drying). The time to do this is negligible. There exists only one drying chair in the salon. Assume a wage rate of $12 per hour. What are the direct labor costs for one customer (in dollars)?
The following build-up diagram tracks the number of customers for a single-server queueing system (e.g., an ATM machine) from 10:00am to 10:15am on a certain day. The number of customers shown in the chart includes both those in service and waiting in line. Build-up diagram 3 2 1 # of Customers in system (in service + waiting) 0 10:00 10:01 10:02 10:03 10:04 10:07 10:09 We will call the customer who arrived the earliest during this time span the first customer, the customer who arrived the second earliest the second customer, etc.. The service discipline is first-come-first-served (FCFS). According to the diagram, what is the service time of the first customer in minutes?
The check-out area of a grocery store has the average customer interarrival time = 2 minutes, the average processing time of each cashier = 6 minutes, and in total 4 cashiers. The average waiting time for each customer is 8 minutes. What is the average number of customers in the system (including waiting and using the service)? a 3 b 7 c 6 d 4
An engineering i rm retains a technical specialist to assist four design engineers workingon a project. The help that the specialist gives engineers ranges widely in time consumption.The specialist has some answers available in memory, others require computation,and still others require signii cant search time. On the average, each request for assistancetakes the specialist one hour.The engineers require help from the specialist on the average of once each day. Becauseeach assistance takes about an hour, each engineer can work for seven hours, on the average,without assistance. One further point: Engineers needing help do not interrupt if thespecialist is already involved with another problem.Treat this as a i nite queuing problem and answer the following questions:a. How many engineers, on average, are waiting for the technical specialist for help?b. What is the average time that an engineer has to wait for the specialist?c. What is the probability that an engineer will have to wait…
XOX Corporation's management keeps track of the time it takes to process orders. During the most recent month, the following average times were recorded per order Wait time 15. 6 Inspection time 0.8 Process time 1.6 Move time 0.7 Queue time 3. 9 1. Percentage of manufacturing cycle time spent on non-value-added activities 2. Compute the delivery cycle time in days

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