Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter D, Problem 6P
a)
Summary Introduction
To determine: Probability that person L is busy.
Introduction: The mathematical study which analyses the causes of delay in the waiting line is known as queuing theory. The theory examines all components in the waiting line such as arrival process, service process, and number of servers, system and customers.
b)
Summary Introduction
To determine: Average waiting time of a customer before reaching the operator.
c)
Summary Introduction
To determine: Average number of calls waiting to be answered.
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Question 8.2
A fabric factory has 5 weaving machines in use. These weaving machines need repair after about 20
hours of use. Breakdowns have been determined to be Poisson distributed. Jim, the maintenance
worker can service a weaving machine in an average of 2 hours, following an exponential distribution.
Weaving machine downtime costs $120 per hour. Jim is paid $25 per hour.
a) What is the average time a weaving machine is waiting to be repaired?
b) What is the average number of weaving machines in the repairing area?
c) What is the total hourly costs?
Question
The new accounts loan officer of the Millennium Commercial Bank interviews all customers for new accounts. The customers desiring to open new accounts arrive at the rate of 4 per hour, according to a Poisson distribution, and the accounts officer spends an average of 12 minutes with each customer, setting up a new account.
Required
1. Determine the operating characteristics (P0, L, Lq, W, Wq and Pw) for this system.
2. Add an additional accounts officer to the system described in this problem so that it is now a multiple-server queuing system with two channels and determine the operating characteristics required in part A.
Question 8.1
The computer lab at State University has a help desk to assist students working on computer
spreadsheet assignments. The students patiently form a single line in front of the desk to wait for help.
Students are served based on a first-come, first-served priority rule. Students arrive at the help desk at
the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is
appropriate for the arrival rate and service times are exponentially distributed.
Chapter D Solutions
Operations Management
Ch. D - Prob. 1DQCh. D - Prob. 2DQCh. D - Question 3. Name the three factors that govern the...Ch. D - Prob. 4DQCh. D - Prob. 5DQCh. D - Prob. 6DQCh. D - Prob. 7DQCh. D - Prob. 8DQCh. D - Prob. 9DQCh. D - Question 10. Describe the behavior of a waiting...
Ch. D - Question 11. Discuss 1he likely outcome of a...Ch. D - Prob. 12DQCh. D - Prob. 13DQCh. D - Prob. 14DQCh. D - Question 15. What happens if two single-server...Ch. D - Prob. 16DQCh. D - Prob. 17DQCh. D - Prob. 1PCh. D - Prob. 2PCh. D - Question D.3 Paul Fenster owns and manages a...Ch. D - Prob. 4PCh. D - Prob. 5PCh. D - Prob. 6PCh. D - Question D.7 Automobiles arrive at the...Ch. D - Question D.8 Virginias Ron McPherson Electronics...Ch. D - Question D.9 Neve Commercial Bank is the only...Ch. D - Question D.10 Beate Klingenberg manages a...Ch. D - Question D.11 Bill Youngdahl has been collecting...Ch. D - Question D.12 The wheat harvesting season in the...Ch. D - Prob. 13PCh. D - Prob. 14PCh. D - Prob. 15PCh. D - Prob. 16PCh. D - Prob. 17PCh. D - Prob. 18PCh. D - Question D.19 One mechanic services 5 drilling...Ch. D - Prob. 20PCh. D - Prob. 21PCh. D - Prob. 22PCh. D - Prob. 23PCh. D - Prob. 24PCh. D - Question New England Foundry For more than 75...Ch. D - Prob. 1.2CSCh. D - New England Foundry For more than 75 years, New...Ch. D - Question The Winter Park Hotel Lori Cook, manager...Ch. D - Question The Winter Park Hotel Lori Cook, manager...
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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
- Question 1 Imagine you're tasked with creating a digital model for a warehouse that handles four different products. The process begins with each product arriving at a temporary waiting area before moving to one of four inspection machines. After inspection, the products proceed to a scanning station and then are transported to one of four storage racks. Products arrive at an average rate of one every 12 seconds (following an exponential distribution). The inspection machines have an average processing time of 6 seconds (also exponentially distributed), while scanning each product takes a fixed time of 4 seconds. The simulation will run for a total of 50,000 seconds, with a queue capacity of 10,000. Build a digital model of this workflow in FlexSim and analyze the output results. Begin by describing the entire process and outlining the layout in FlexSim. Include screenshots of the settings for the Queue, Source, and Processors. Finally, provide key output data, including the state…arrow_forwardQuestion An average of 17 cars per hour arrive at a single-server drive-in teller. Assume the average service time for each customer is 4 minutes, and both interarrival times and service times are exponential. Answer the following questions: a. What is the mean arrival time? b. What is the mean service time? c. What is the probability that the teller is busy? d. What is the average number of cars waiting in line for the teller? e. What is the average amount of time a drive-in customer spends waiting in the parking lot? f. What is the average number of cars in the system? g. Describe the possible behavior of customer arrivals. Justify your answer.arrow_forwardQuestion 8 (Atlantic Video) Atlantic Video, a small video rental store in Philadelphia, is open 24 hours a day, and—due to its proximity to a major business school—experiences customers arriving around the clock. A recent analysis done by the store manager indicates that there are 30 customers arriving every hour, with a standard deviation of interarrival times of 2 minutes. This arrival pattern is consistent and is independent of the time of day. The checkout is currently operated by one employee, who needs on average 1.7 minutes to check out a customer. The standard deviation of this check-out time is 3 minutes, primarily as a result of customers taking home different numbers of videos. a. If you assume that every customer rents at least one video (i.e., has to go to the checkout), what is the average time a customer has to wait in line before getting served by the checkout employee, not including the actual checkout time (within 1 minute)? b. If there are no customers requiring…arrow_forward
- Q.2) Partially completed products arrive at a workstation in a manufacturing operation at a mean rate of 40 per hour (Poisson distributed). The processing time at the workstation averages 1.2 minutes per unit (exponentially distributed). The manufacturing company estimates that each unit of in process inventory at the workstation costs $31 per day (on the average). However, the company can add extra employees and reduce the processing time to 0.90 minute per unit at a cost of $52 per day. Determine whether the company should continue the present operation or add extra employees.arrow_forwardOperating Systems Question 15 What is the main disadvantage of busy waits?arrow_forwardQuestion 9 In Littlefield Labs, each order is processed at three stations before being completed and sent to customers. Suppose at the peak demand (i.e., after 180 days in the game) the flow rate is 10 orders per day. And the average inventory at station 1, station 2 and station 3 are 72, 65 and 70 kits, respectively (these include kits being processed as well as those in queues). What is the average lead time (in hours) o complete an order? Please specify your answer in at least 2 decimal points. (Remember 1 order has 60 kits, each day has 24 hours). Nextarrow_forward
- Question 5 Gorsuch Law Firm has two paralegals. Customers arrive randomly at an average rate of 8 customers per hour and a standard deviation in interarrival times of 5 minutes. Service times have a mean of 8 minutes and a standard deviation of 10 minutes. What is the total time a customer spends in the system? O 7.5 minutes 11.5 minutes 3.5 minutes 83%arrow_forward8arrow_forwardQuestion related to queing theory don't copy . In a restaurant, customer arrival is Poisson at 12 per hour. In this restaurant, the customers do self-service. Exponentially distributed service time 5 minutes per customer. Find the average waiting time of a customer in the restaurant.arrow_forward
- QUESTION 5 A post office has a counter for customers' drive-through to get the services. The design of the drive-through lane allows for unlimited queue length. The arrival and service rate are Poisson distributed with A= 20 customers per hour arriving on average and u=25 customers per hour can be served on average. a) Compute the average number of arrivals. b) Compute the average time a customer waits. c) Compute the average number of arrivals in the system. d) Compute the average time a customer is in the system. e) Compute the probability that less than or equal to 3 customers are in the system. f) If the single counter for the customer drive-through has been replaced with the automatic operation, service rates are constant with A= 20 and u =25. Compute (a), (b), (c) and (d).arrow_forwardQUESTION 10 MM2 has a queuing problem where customers who line up to pay their selections form the waiting line. The MM2 system consists of an arrival rate of 3 per hour according to a Poisson distribution, and service times are on average equal to 16 minutes per customer. What is the number of customers waiting in the queue on average? O&1.333 Ob.4.0 Oc.0.952 Od32 O.0.152arrow_forward13. Give an example of a single-phase queuing system.arrow_forward
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