Operations Management
13th Edition
ISBN: 9780135173626
Author: HEIZER, Jay, RENDER, Barry, Munson, Chuck
Publisher: Pearson,
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Chapter D, Problem 9DQ
Summary Introduction
To describe: The three situations where First-in and First-out (FIFO) is not applicable.
Introduction: The mathematical study which analysis 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.
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5.6. Identify 10 real-life examples of queuing systems with which you are familiar.
Question 3
[Soalan 31
Jeruk Pak Abu's Store in Butterworth, Pulau Pinang, maintains a successful
catalog sales department in which a clerk takes orders by telephone. If the clerk is
occupied on one line, incoming phone calls to the catalog department are
answered automatically by a recording machine and asked to wait. As soon as the
clerk is free, the party who has waited the longest is transferred and serviced first.
Calls come in at a rate of about 12 per hour. The clerk can take an order in an
average of 4 minutes. Calls tend to follow a Poisson distribution, and service
times tend to be negative exponential. The cost of the clerk is RM10 per hour, but
because of lost good -will and sales, Jeruk Pak Abu's Store loses about RM25 per
hour of customer time spent waiting for the clerk to take an order.
[Kedai Jeruk Pak Abu di Butterworth, Pulau Pinang, mempunyai bahagian penjualan katalog
yang berjaya di mana seorang kerani mengambil pesanan melalui telefon. Sekiranya kerani itu
sibuk…
8
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.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 - 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 - Prob. 18PCh. D - Prob. 25PCh. D - Prob. 26PCh. D - Prob. 27PCh. D - Prob. 28PCh. D - Prob. 29PCh. D - Prob. 30PCh. D - Prob. 31PCh. D - Prob. 33PCh. 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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- Question related to queing theory don't copy In a tool crib, workers come to take tools at 6 per hour on the average. Waiting for them costs Rs. 12 per hour. The service time per worker is in the tool crib is 12 minutes. What will be total waiting cost of the workers per day if it is 8 hours a day? Assume M/M/1 queuing system.arrow_forwardQuestion 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 4 A petrol station in the capital Kingstown has a single pump manned by one attendant. Vehicles arrive at the rate of 20 customers per hour and petrol filling takes 2 minutes on an average. Assume the arrival rate is Poisson probability distribution and service rate is exponentially distributed. Arrivals tend to follow a Poisson distribution, and service times tend to be exponential. The attendant is paid $10 per hour, but because of lost goodwill and sales, station loses about $15 per hour of customer time spent waiting for the attendant to service and order. Part A Answer the following questions based on single channel model: a. What is the probability that no customers are in the system (Po)?! b. What is the average number of customers waiting for service (Lq)? c. What is the average number of customers in the system (L)?………….. d. What is the average time a customer waits for service (Wq)?! e. What is the average time in the system (W)?❤❤ s f. What is the probability that a…arrow_forward
- Question 3) Waiting Line Analysis Helen runs a small shop where she provides a service. She is able to process an average of 8 customers per hour. An average of 5 customers per hour seek this service at her shop. What is: a) the probability that Helen will not be working with a customer (no customers) when the shop phone rings? b) the probability of 4 customers in the system? c) the average time a customer spends waiting in line (in minutes)?arrow_forwardOperating Systems Question 15 What is the main disadvantage of busy waits?arrow_forwardQuestion 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.arrow_forward
- Question 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_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_forwardState general trade offs involved in waiting line decisions ?arrow_forward
- Question in imagearrow_forwardParts E & F plsarrow_forwardQUESTION 11 Snappy Lube is a quick-change oil center with a single service bay. On average, Snappy Lube can change a car's oil in 10 minutes. Cars arrive, on average, every 15 minutes. Assume Poisson arrivals and Exponential service times. The average number of cars waiting is The average number of cars in the system is The average time spent waiting is The average time spent in the system is Round all answers to 2 decimal places. Only enter numerical values. cars. minutes. cars. minutes.arrow_forward
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