A Single-Bay Car Wash with a Poisson Arrival Rate and an Exponential

question 109

Short Answer

A single-bay car wash with a Poisson arrival rate and an exponential service time has cars arriving an average of 15 minutes apart. It takes approximately 9 minutes to wash a car. What is the system utilization?

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Definitions:

Environmental Resistance

The sum of environmental factors like predation, competition, and disease that limit the growth of populations and maintain ecosystem balance.

Resource Supplies

The availability of materials, goods, or services that can be used to support life, industry, or economic activity.

Replacement-level Fertility

The fertility rate that maintains a population's size across generations, usually about 2.1 children per woman in most developed countries.

Average Replacement-level

The fertility rate at which a population exactly replaces itself from one generation to the next, without migration.