EBK OPERATIONS MANAGEMENT
12th Edition
ISBN: 8220100283963
Author: Stevenson
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 18, Problem 5P
a.
Summary Introduction
To determine: The system utlization rate.
Introdution:
System utilization refers to percentage amount of capacity which is utilized or we can say that actual output divided by potential output. It is operational metric for business which indicate aggregate productive capacity.
b.
Summary Introduction
To determine: Average number of customer waiting
Introduction: Average number of customers in the system is the average number of system which is used for the production purpose.
c.
Summary Introduction
To determine: The average time customer waiting hours.
d.
Summary Introduction
To determine: Probability that both ambulances will be busy when a call comes in
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A small town with one hospital has two ambulances to supply ambulance service. Requests forambulances during non-holiday weekends average .45 per hour and tend to be Poisson-distributed.Travel and assistance time averages two hours per call and follows an exponential distribution.Find:a. System utilizationb. The average number of customers waitingc. The average time customers wait for an ambulanced. The probability that both ambulances will be busy when a call comes in
A fast-food restaurant offers a variety of products: from pre-made packaged
sandwiches to milkshakes with different flavors. Many customers order one item
time, other customers order multiple items. Sometimes customers buy the pre-
made items, and some customers actually ask the restaurant to cook their food
while they wait. The restaurant manager has kept careful records of some
queuing statistics over several weeks. According to this data, the staff needs 4
minutes on average to serve a random customer. On average, the restaurant
served 120 customers on a given day. This restaurant is open from 9 AM to 9 PM
every day, and has a single service counter. If you want to help the manager
measure this restaurant's waiting line performance, which of the following should
you use?
Exponential Service Rate Model
The Finite Source Model
Constant Service Rate Model
O The multi phase single channel model
In an M/MA queueing system, the arrival rate is 4 customers per hour and the service rate is 6 customers per hour. If the service
process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance
measurements? (Round your answers to 3 decimal places.)
a. What is the utilization?
Utilization
b. What is the expected number of customers in the system (L)?
Number of customers
c. What is the expected waiting time (in hours) for the system (W)?
Waiting time(in hours)
d. What is the expected number of customers in the queue(La)?
< Prev
2 of 5
Next
raw
lill
Chapter 18 Solutions
EBK OPERATIONS MANAGEMENT
Ch. 18 - Prob. 1DRQCh. 18 - Why do waiting lines form even though a service...Ch. 18 - Prob. 3DRQCh. 18 - Prob. 4DRQCh. 18 - What approaches do supermarkets use to offset...Ch. 18 - Prob. 6DRQCh. 18 - Prob. 7DRQCh. 18 - Prob. 8DRQCh. 18 - Prob. 9DRQCh. 18 - Prob. 1TS
Ch. 18 - Prob. 2TSCh. 18 - Prob. 3TSCh. 18 - Prob. 1CTECh. 18 - Prob. 2CTECh. 18 - Prob. 3CTECh. 18 - The owner of Eat Now Restaurant implemented an...Ch. 18 - Prob. 5CTECh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Prob. 7PCh. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - A priority waiting system assigns arriving...Ch. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 1CQ
Knowledge Booster
Learn more about
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
- Queuing Modelsarrow_forwardIn modeling a waiting line problem, 1/ μ and 1/ λ represent the mean values of: a. Arrival time and service rate respectively (i.e. in that order). b. Inter-arrival time and service time respectively. c. Service time and inter-arrival time respectively. d. Wait time and queue time respectively.arrow_forwardIn an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) d. What is the expected number of customers in the queue (Lq)? Number of customers (queue) e. What is the expected waiting time (in hours) in the queue (Na)? Waiting time (queue)arrow_forward
- Waiting Line ApproximationLet’s consider an example of a call center that takes orders for a mail-order business. During the peak period, the average time between call arrivals (¯X a ) is 0.5 minutes with a standard deviation (Sa) of 0.203 minutes. The average time to service a call (¯ X s ) is 4 minutes and the standard deviation of the service time (Ss) is 2.5 minutes. If the call center is using nine operators to service calls, how long would you expect customers to wait before being serviced? What would be the impact of adding an additional operator?arrow_forwardA server operates with 70% utilization. The coefficient of variation for the service process is 0.6 and the coefficient of variation of the arrival process is 1. The average processing time is 3 minutes. What is the average time a customer spends in the system according to the single-server queue model? A. 9 minutes B. 6 minutes C. 3 minutes D. 7.5 minutes Consider an Erlang loss system. The average processing time is 6 minutes. The average interarrival time is 3 minutes. The number of servers is 9. What is the capacity of the system? A. 0.8 customers per minute B. 1.5 customers per minute C. 1.1 customers per minute D. 2.4 customers per minutearrow_forwardConsider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bankarrow_forward
- Define the following terms with an example Constant service time model Queuing theory Critical path analysis Sensitivity analysis Hungarian methodarrow_forwardPlease do not give solution in image format thankuarrow_forwardThe time from when a patient is discharged from North Shore Hospital to the time the discharged patient’s bed is ready to be assigned to a new patient is referred to as the bed assignment turnaround time. If the bed turnaround time is excessive, it can cause problems with patient flow and delay medical procedures throughout the hospital. This can cause long waiting times for physicians and patients thus creating customer dissatisfaction. The admissions RN has assigned a patient care associate to measure the bed turnaround time for a randomly selected bed each morning., afternoon, and evening for 30 days. Following are the bed turnaround time sample observations: Day Day Bed Turnaround Times (min) 1 1 127 135 167 144 151 2 2 140 155 122 135 119 3 3 112 128 97 118 131 4 4 223 135 154 187 150 5 5 181 155 160 172 166 6 6 103 158 145 124 149 7 7 146 135 167 150 178 8 8 104 122 115 137 129 9 9 136 158 137 148 156 10 10 145 163 106 139 170 11 11 84 146 125 98…arrow_forward
- The manager of a call center recorded the volume of calls received between 9 and 10 a.m. for 21 days and wants to obtain a seasonal index for each day for that hour. Day Volume Day Volume Day Volume Tues 67 Tues 60 Tues 64 Wed 75 Wed 73 Wed 76 Thurs 82 Thurs 85 Thurs 87Fri 98 Fri 99 Fri 96 Sat 90 Sat 86 Sat 88 Sun 36 Sun 40 Sun 44 Mon 55 Mon 52 Mon 50?arrow_forwardA radio repairer notes that the time he spends on his job has an exponential distribution with a mean of 4 minutes. He follows the first come first serve principle. The arrival time of clients takes a Poisson distribution with an average rate of 8 clients every 1 hour.Determine the arrival rate value , service rate value to be used,time taken by aclient waiting in the queue Determine the client’s average waiting time in the system and Compute the probability that the system is idle; P (idle)arrow_forwardIn a queueing system, customers arrive once every 4 minutes (standard deviation = 7) and services take 3 minutes (standard deviation = 5.5). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the queue (in minutes)? minutesarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,