EBK PRACTICAL MANAGEMENT SCIENCE
5th Edition
ISBN: 9780100655065
Author: ALBRIGHT
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13.5, Problem 31P
a)
Summary Introduction
To determine: Why the given results hold for M/M/1 model.
Introduction: In order to predict the waiting time and length of the queue, queueing model will be framed. Queueing theory is the mathematical model that can be used for the decision-making process regarding the resources required to provide a service.
b)
Summary Introduction
To determine: Why the given results hold for M/M/1 model.
Introduction: In order to predict the waiting time and length of the queue, queueing model will be framed. Queueing theory is the mathematical model that can be used for the decision-making process regarding the resources required to provide a service.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
suppose tht a queueing system has two identical servers, and an exponential service-time distribution with a mean of 1/u=10minutes. furthermore, a customer has just arrived to find two in the system. how long would you expect him to wait before being able to start service?
Note:-
Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.
Answer completely.
You will get up vote for sure.
In a queueing system, customers arrive once every 6 seconds (standard deviation = 5) and services take 5 seconds (standard
deviation = 4).
(Do nót round intermediate calculations. Round your answer to three decimal places.)
customers
What is the average number of customers in the queue?
In a queueing system, customers arrive once every 4 seconds (standard deviation = 4) and services take 2 seconds (standard deviation
= 4.3).
(Do not round intermediate calculations. Round your answer to three decimal places.)
What is the average number of customers in the queue?
customers
Chapter 13 Solutions
EBK PRACTICAL MANAGEMENT SCIENCE
Ch. 13.3 - Prob. 1PCh. 13.3 - Prob. 2PCh. 13.3 - Prob. 3PCh. 13.3 - Prob. 4PCh. 13.4 - Prob. 5PCh. 13.4 - Prob. 6PCh. 13.4 - Prob. 7PCh. 13.4 - Prob. 8PCh. 13.5 - Prob. 9PCh. 13.5 - Prob. 10P
Ch. 13.5 - Prob. 11PCh. 13.5 - Prob. 12PCh. 13.5 - Prob. 13PCh. 13.5 - Prob. 14PCh. 13.5 - Prob. 15PCh. 13.5 - Prob. 16PCh. 13.5 - Prob. 17PCh. 13.5 - Prob. 18PCh. 13.5 - Prob. 19PCh. 13.5 - Prob. 20PCh. 13.5 - Prob. 21PCh. 13.5 - Prob. 22PCh. 13.5 - Prob. 23PCh. 13.5 - Prob. 24PCh. 13.5 - Prob. 25PCh. 13.5 - Prob. 26PCh. 13.5 - Prob. 27PCh. 13.5 - Prob. 28PCh. 13.5 - Prob. 29PCh. 13.5 - Prob. 30PCh. 13.5 - Prob. 31PCh. 13.5 - Prob. 32PCh. 13.5 - Prob. 33PCh. 13.5 - Prob. 34PCh. 13.5 - Prob. 35PCh. 13.5 - Prob. 36PCh. 13.5 - Prob. 37PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 13 - Prob. 52PCh. 13 - Prob. 54PCh. 13 - Prob. 58PCh. 13 - Prob. 59P
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
- . For the MyMy1 queueing model, why do the following results hold? (Hint: Remember that 1ym is the meanservice time. Then think how long a typical arrival must wait in the system or in the queue.) a. W 5 (L 1 1)ym b. WQ 5 Lymarrow_forwardIn a queueing system, customers arrive once every 4 hours (standard deviation = 7) and services take 3 hours (standard deviation = 4.9). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average number of customers in the queue? customersarrow_forward(Random variables) Prove that the mean and standard deviation of the exponential distribution are equal (Queueing Theory) The time between failures of the kencore refridgerator is known to be exponential with mean values 9000 hours (about 1 year of operation), and the company issues a 1 year warranty on the refridgerator. what are the chances that the breakdown repair will be covered by the warranty?arrow_forward
- In a D/D/1 queueing systems, the arrival rate and service rate are equal to 6 customers/hour and 12 customers/hour, respectively. What is the average queue length?arrow_forwardIn a queueing system, customers arrive once every 4 seconds (standard deviation = 4) and services take 2 seconds (standard deviation = 4.3). (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 seconds)? secondsarrow_forwardA firm is engaged in both shipping and receiving activities. The management is always interested in improving the efficiency of new innovations in loading and unloading procedures. The arrival distribution of trucks is found to be Poisson with arrival rate of 3 trucks per The service time distribution is exponential with unloading rate of 4 trucks per hour. Determine (i) expected number of trucks in the queue, hour. (ii) expected waiting time of the truck in the queue, (iii) probability that the loading and unloading dock and workers will be idle, (iv) what reductions in waiting time are possible if loading and unloading is standardised?arrow_forward
- In 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_forwardPlease fill out the data tables using the given informationarrow_forwardIn a queueing system, customers arrive once every 3 hours (standard devlation = 4) and services take 2 hours (standard deviation = 6.2). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average number of customers in the system? customersarrow_forward
- Which of the following is false about the Assumptions of queuing model? The waiting space available for customers in the queue is finite. Service discipline followed in FCFS The mean arrival rate is less than the mean service rate O The elapsed time since the start of the queue is sufficiently long so that system in stablearrow_forwardIn a queueing system, customers arrive once every 3 hours (standard deviation = 4) and services take 2 hours (standard devlation = 6.2). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the system (in hours)? hoursarrow_forwardIn queuing theory and modeling, if 1/μ represents mean service time. Whatdoes μ represent? Service rateInterarrival time Arrival rate Nonearrow_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,