Consider a production system composed of 1 station at which arriving jobs areprocessed. The mean time between arrivals equals 5 minutes with a standarddeviation of 2 minutes. The mean processing time of a job is 4 minutes, withstandard deviation of 2 minutes. It is assumed that the queue has infinite capacity.a) Estimate the expected waiting time in queue.b) Estimate the expected number of jobs waiting in queue.

Given that :" Arrival rate(λ) = 605 per hour = 12 per hour Service time (μ) = 604 per hour = 15 per…

Answered: Consider a production system composed…

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 27P

See similar textbooks

Similar questions

An infinite source queuing system has an arrival rate of 45 customers per hour and a service time of 2 minutes per customer. The arrival rate can be described as Poisson, and the service time distribution can be described as negative exponential. Suppose it has been determined that the average number of customers waiting for service is 1.929. There are two servers.Determine the following: a. the average number of customers being served.b. the average number of customers in the systemc. the average time customers wait in line before being servedd. the average time customers spend in the system.e. system utilization
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…

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS