a) The probability that Tarun is idle = enter your response here (round your response to two decimal places). b) The proportion of the time that Tarun is busy = enter your response here (round your response to two decimal places). c) The average number of dogs being vaccinated and waiting to be vaccinated = enter your response here dogs (round your response to two decimal places).

a) The probability that Tarun is idle = enter your response here (round your response to two decimal places). b) The proportion of the time that Tarun is busy = enter your response here (round your response to two decimal places). c) The average number of dogs being vaccinated and waiting to be vaccinated = enter your response here dogs (round your response to two decimal places).

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 37P

See similar textbooks

Similar questions

Dr. Tarun Gupta, a Michigan vet, is running a rabies vaccination clinic for dogs at the local grade school. Tarun can "shoot" a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of one dog every 6 minutes according to a Poisson distribution. Also assume that Tarun's shooting times are negative exponentially distributed. a) The probability that Tarun is idle =
A tractor operator has only one tractor and he operates it on the job order from farmers.The requestors for the jobs arrive with Poisson distribution having interval time of 0.7 day.The average time to do a job is distributed exponentially with mean 0.5 day. Assuming thatthe tractor can take up the next job immediately on completion of the previous job,determine the following:i. Will a queue be formed? Explainii. If queue is formed will it statistically stabilize? Explain your answeriii. What is the utilization factor of the tractor?iv. What is the idle time in daily duty of 7 hours?v. What is the mean number of job orders waiting?vi. What is the mean waiting time for job orders in the system?vii. What is the mean waiting time in the queue?
The average time between the arrivals of the taxis arriving at the airport to pick up passengers has an exponential distribution, with an average of 10 minutes. a) What is the probability that a passenger will wait for the taxi less than 15 minutes? b) What is the probability that a passenger will wait for the taxi between 20 and 30 minutes? Solve using the cumulative distribution function H1
A data storage system consists of 3 disk drives sharinga common queue. An average of 50 storage requests arriveper second. The average time required to service a requestis .03 second. Assuming that interarrival times and servicetimes are exponential, determine:a The probability that a given disk drive is busyb The probability that no disk drives are busyc The probability that a job will have to waitd The average number of jobs present in the storagesystem
The QRS Trucking Services, has one warehouse servicing its 4 clients within the area. The warehouse hasonly one loading harbor with 3 service crews. The manager has observed that there are certain timeswherein their delivery vans are waiting in the harbor to be loaded. Also, there are instances whereintheir three service crews are idle. Thinking about the situation of their business , the manager noticedthat it follows the Single-Channel Queueing Model.Analyzing the record book, he noticed that the customers’ arrival rate is 3 delivery vans per hour, and onthe average service rate is 5 delivery vans per hour. What advise can you give to the manager about theimplication of adding another service crew, or even two or more crews to increase and improve theservice rate of his loading harbor?If the manager adds one or more service crew(s), the loading harbor can still be considered as a single-channel system, because only one delivery truck ( the customer) can be served at any one time.…
Traffic lights placed at highway on-ramps which alternate between stop (red light) and go(green light) at fixed time intervals; e.g., every 10 seconds, A. convert the arriving traffic from following a normal distribution to following an exponentialdistribution.B. convert the arriving traffic from following an exponential distribution to following a normaldistribution.C. convert the arriving traffic from following a uniform distribution to following a Poissondistribution.D. convert the arriving traffic from following a Poisson distribution to following a uniformdistribution