OPERATIONS MANAGEMENT
2nd Edition
ISBN: 9781260238877
Author: CACHON
Publisher: RENT MCG
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Chapter 16, Problem 21PA
Summary Introduction
To determine: The number of servers required.
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2. A repair and inspection facility consists of two stations: a repair station with two technicians, and
an inspector station with 1 inspector. Each repair technician works at the rate of 3 items per hour; the
inspector can inspect 8 items per hour. Approximately 10% of all items fail inspection and are sent back
to the repair station. (This percentage holds even for items that have been repaired two or more times.) If
items arrive at the rate of 5 per hour, what is the long-run expected delay that items experience at each of
the two stations, assuming a Poisson arrival process and exponentially distributed service times? What is
the maximum arrival rate that the system can handle without adding personnel?
Find a Doctor is a small startup that helps people find a physician who best meets their needs (location, insurance accepted, etc.). During a “slow” time for it, it has 8 staff members taking calls from customers. On average, one call arrives every 5 minutes (with a standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27.00 minutes). How long does one of their customers spend, on average, waiting on hold before he or she can start speaking to a representative?
A post office clerk operates with 75% utilization. The coefficient of variation for the service process is 0.6 and the coefficient of variation of the arrival
process is 0.9. The average processing time is 4 minutes. What is the average time a customer spends in the system according to the single-server
queue model?
Multiple Choice
○ 7.02 minutes
4 minutes
11.02 minutes
О
3.51 minutes
Chapter 16 Solutions
OPERATIONS MANAGEMENT
Ch. 16 - Prob. 1CQCh. 16 - Prob. 2CQCh. 16 - Prob. 3CQCh. 16 - Prob. 4CQCh. 16 - Which of the following best reflects pooling...Ch. 16 - Prob. 6CQCh. 16 - Prob. 7CQCh. 16 - Prob. 1PACh. 16 - Prob. 2PACh. 16 - Prob. 3PA
Ch. 16 - Prob. 4PACh. 16 - Prob. 5PACh. 16 - Prob. 6PACh. 16 - Prob. 7PACh. 16 - Prob. 8PACh. 16 - Prob. 11PACh. 16 - Prob. 12PACh. 16 - Prob. 13PACh. 16 - Prob. 14PACh. 16 - Prob. 15PACh. 16 - Prob. 16PACh. 16 - Prob. 17PACh. 16 - Prob. 18PACh. 16 - Prob. 19PACh. 16 - Prob. 20PACh. 16 - Prob. 21PACh. 16 - Prob. 22PA
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Suppose i am going to build a digital model for all 4 different products coming to awarehouse. All products first move to a temporary waiting area and then to inspectionmachines. There are 4 inspection machines to process each product respectively. Afterinspection, all products must move to next station for scanning before they are finallytransported to 4 racks.Products arrives exponentially with an average of 12 seconds. Processing times of inspectionmachines ars exponentially distributed with an average 6 seconds. Scanning time is fixed 4seconds.Simulation time is 50000s, Queue capacity is 10000.Suppose i need to redesign this process. How would it be possible to improve this system.Maybe identify the bottleneck by output analysis and propose improvement solution byadding additional object(s) or new automated resource to the original model will be possible?arrow_forwardSuppose a coffee shop order and fulfillment process is configured simply as a single queue with two steps: wait and service. Customers enter, wait their turn, and then are served, by placing and receiving their order all at once. Suppose that an average of 10 customers per hour enter the coffee shop while the shop is open. On average, there are two customers waiting in line to place their orders. It takes an average of 2 minutes to go through the service step, that is, it takes 2 minutes to complete the second step of placing and receiving the order. In steady state, O The average wait time before placing an order is 12 minutes. O The average time between customer arrivals is 5 minutes. O None of the answers are correct. There is an average of one customer being served at a time. O The average total time to wait and be served is 15 minutes.arrow_forwardIn this exercise, should we convert the average registered visitors to "per hour" in order to answer the questions or we keep them as 650 and 300?arrow_forward
- A queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 8. The average number in the system Ls is ________ and the utilization of the system is ________.arrow_forwardA single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 6 customers per hour and an average service rate of 15 customers per hour. The average length of time customers will spend in the system is: O a. 2.667 minutes O b. 0.1111 minutes O c. 6.667 minutes O d. 0.04444 minutesarrow_forwardWhat is the average utilization of the servers in a system that has three servers? On average 15 customers arrive every 15 minutes. It takes a server exactly three minutes to wait on each customer.arrow_forward
- A server operates with 75 percent utilization. The average processing time istwo minutes and the standard deviation of processing time is one minute. The coefficient ofvariation of the arrival process is one. What is the average time in the queue for customers?arrow_forwardA fast food restaurant receives a large volume of drive-through orders. A Lean Six Sigma team wants to understand the resources required to maintain a maximum target cycle time of 4 minutes. When demand fluctuates, personnel can be reassigned temporarily to increase the rate of processing. If the normal processing rate is 40 seconds per order, what should the maximum customers in process (queue) be before reassigning resources?arrow_forwardA chemical plant stores spare parts for maintenance in a large warehouse. Throughout the working day, maintenance personnel go to the warehouse to pick up supplies needed for their jobs. The warehouse receives a request for supplies, on average, every 2 minutes (Poisson distributed). The average request requires 1.7 minutes to fill (exponential service times). Maintenance employees are paid $20 per hour, and warehouse employees are paid $12 per hour. The warehouse is open 8 hours each day. What is the optimal number of warehouse employees to hire? (Hint: Time spent by maintenance workers waiting in line for supplies should be considered an expense.) What is the total cost per hour (waiting plus warehouse employee labor cost) of your solution?arrow_forward
- 10. Customers arrive an average of 8 per hour and an average of 12 customers can be served in an hour. Assume this is an M/M/1 model. (Noteshaper Quick Start #18 - #20) what is the system utilization? what is the average length of the line? what is the average number of customers in the system? what is the average amount of time spent waiting in the line? what is the average amount of time a customer spends in the system? what is the probability of no customers in the system? 11. Customers arrive at a ferry ticket office at the rate of 18 per hour on Monday mornings. This can be described as a M/M/1 model. Selling the tickets and providing general information takes an average of 2 minutes per customer. One ticket agent is on duty on Mondays. (Noteshaper Scenario #34) a. What is the average length of the line on Monday mornings? b. On average, how long does a customer wait to buy a ticket on Monday mornings (in minutes)? c. How long does it take to successfully buy a ticket on Monday…arrow_forwardA supermarket manager tried actual different policies for inventory control to see which policy gives the highest performance. This is not a simulation. Select one: O True O Falsearrow_forwardThere is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds, or μ=90 per hour (according to a negative exponential distribution). If the percentage of time used is 44% and the average length of the queue is 35 students and the average number is 80 then what is the average time spent waiting in the queue and the average time in the system (round your response to two decimal points).arrow_forward
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