SavedHelpSave & ExitSubmitoctoring Enabled: Chapter 11 Queuing Models ExercisesOn a toll road, there are 5 lanes for drivers to pay their toll. Customer arrival times are random, with a general independent distribution.Service times are constant, with a degenerate distribution. What is the proper description for this queueing system?Proper description< Prev3 of 5NextMcGrawHill3.

Given- Here, 5 lanes for drivers. So, No. of servers = 5

Answered: On a toll road, there are 5 lanes for…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Answer the following questions. Answers are listed at the end of this section.1. The queuing models assume that customers are served in what order?2. Consider two identical queuing systems except for the service time distribution. In the first system, the service time is random and Poisson distributed. The service time is constant in the second system. How would the waiting time differ in the two systems?3. What 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.4. What is the expected waiting time for the system described in question 3?5. Firms that desire high service levels where customers have short wait times should target server utilization levels at no more than this percentage.
Customers arrive at Cochinito Bank according to a Poisson distribution, with a mean of 45 customers per hour. Transactions per customer take around 5 minutes and are distributed exponentially. The bank wants to use a single line and several boxes, similar to those used in airports and some dependencies. The manager is aware that customers may go to other banks if they perceive their waiting in line to be “excessive”. For this reason, the manager wants to limit the average wait time in the queue to no more than 30 seconds. How many boxes should the bank put into service?
The arrival rate at the second server in a two stage serial queuing
A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 38 calls per hour. The service rate per line is 23 calls per hour. (a) What is the probability that 0, 1, 2, and 3 access lines will be in use? (Round your answers to four decimal places.) P(0)= P(1)= P(2)= P(3)= (b) What is the probability that an agent will be denied access to…
A. Know some of the basic queue performance measure B. Identify the relationships between queues and some statistical distribution
An M/M/1 queueing system has that customers arrive to it at a rate of 5 per hour, i.e., its interarrival times between two consecutive arrivals follows an exponential distribution with parameter 5 per hour. This question will ask you to evaluate two options for designing the server in the system. Both options for the single server provide the same service for the customers in the queueing system but they cost different amounts to implement. In addition, the total costs of the queuing system are the implementation costs plus the customer costs. Currently, the customer costs are $100 per hour per customer in the queueing system. In comparing these options, it costs us $100 per hour per customer in the queueing system. (a) The first option for the server is one that has a service time that follows an exponential distribution with mean 10 minutes. Determine L, W, Lq, and Wq for this system. (b) The second option for the server is one that has a service time that follows an…
The manager of a bank wants to use an MyMys queueingmodel to weigh the costs of extra tellers against the costof having customers wait in line. The arrival rate is 60customers per hour, and the average service time is fourminutes. The cost of each teller is easy to gauge at the$11.50 per hour wage rate. However, because estimatingthe cost per minute of waiting time is difficult, the bankmanager decides to hire the minimum number of tellersso that a typical customer has probability 0.05 of waitingmore than five minutes in line.a. How many tellers will the manager use, given thiscriterion?b. By deciding on this many tellers as “optimal,” themanager is implicitly using some value (or some range of values) for the cost per minute of wait-ing time. That is, a certain cost (or cost range) would lead to the same number of tellers as sug-gested in part a. What is this implied cost (or cost range)?
Please try to solve in 30 minute A queueing system has an arrival rate of 45 visitors per hour (standard deviation of 24) and a service rate of 35 visitors per hour (standard deviation of 20). What is the cofficientvof variation of the service rate .
Christmas Airlines is reviewing its check-in procedures in anticipation of college students celebrating being done with finals.It takes an average of three minutes per passenger to check luggage and issue boarding passes.During flight operations, a passenger arrives, on average, every 5 minutes. Service times and interarrival times both have an exponential distribution. a.Define the states of this queuing systems. b.If there is a single clerk, provide the balance equation for state 3 for this queuing system. c.If there is a single clerk, what is the probability that the clerk will be idle?
In 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? customers
In an M/MA queueing system, the arrival rate is 8 customers per hour and the service rate is 11 customers per hour. (Round your answers to 3 decimal places.) a. What is the probability that the server will be idle? Probability b. What is the probability of having exactly 4 customers in the system? Probability c. What is the probability of having 3 or fewer customers in the system? Probability
Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is five trucks per hour. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle? What is the average number of trucks in the queue? truck(s) What is the average number of trucks in the system? truck(s) What is the average time a truck spends in the queue waiting for service? hour(s) What is the average time a truck spends in the system? hour(s) What is the probability that an arriving truck will have to wait? What is the probability that more than two trucks are waiting for service?

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On a toll road, there are 5 lanes for drivers to pay their toll. Customer arrival times are random, with a general independent distribution. Service times are constant, with a degenerate distribution. What is the proper description for this queueing system? Proper description