Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

a single-bay car wash with a poisson arrival rate and an exponential service time has cars arriving at an average of 8 minutes apart with an average service time of 4 minutes. what is the system utilization?

Sagot :

System utilization is 0.26 or 20%

What is System Utilization?

System utilization is the action of using something, i.e., making practical and effective use of it. Put simply; the term refers to the use of something or the process of using it effectively. In the supply chain industry, utilization may also refer to the percentage of available time that a machine, device, warehouse, or employee is actively is working.

We can also use the term for a fraction of the available time that a system is operating.

In a warehouse, space is essential, so warehouse space utilization measures the efficiency with which the warehouse uses its inventory storage capacity. Low values for this KPI may suggest that the warehouse is too large, inventory is being stored in improper places, demand forecasting is not accurate or that inventory replenishment processes are slow.

given that:

a single-bay car wash with a poission arrival rate and an exponential service time has cars arriving at an average of 8 minutes apart with an average service time of 4 minutes

System utilization(ρ) = λ(arrival rate)/μ(service rate)

arriving rate = 8min ⇒ λ = 4/hr

service rate = 4min ⇒ μ = 15/hr

System utilization(ρ) = λ/μ

System utilization(ρ) = 4/15 = 0.26

System utilization is 0.26 or 20%

To learn more about System utilization:

https://brainly.com/question/3420074

#SPJ4