The combined sewer system in city ABC is comprised of two parallel interceptors referred to as...

 

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The combined sewer system in city ABC is comprised of two parallel interceptors referred to as "North" and "South" lines. The southern line is connected to a newly built wastewater treatment plant. The northern line is a bypass (emergency) pipeline that releases the sewer directly to a nearby river. The system switched to this emergency system if a storm event continues for at least 4 hours or the level of flow in the southern line reaches to 80%. The likelihood of the above independent cases follows the following exponential distributions: f(r)=2e^(-2r) f(t)=0.5e^(-0.5t) (solve using Acceptance method) If the city considers to invest in updating the south interceptor and to increase its capacity by 20%, how much resiliency improvement can be expected if we keep the same emergency rules for the new pipeline? The combined sewer system in city ABC is comprised of two parallel interceptors referred to as "North" and "South" lines. The southern line is connected to a newly built wastewater treatment plant. The northern line is a bypass (emergency) pipeline that releases the sewer directly to a nearby river. The system switched to this emergency system if a storm event continues for at least 4 hours or the level of flow in the southern line reaches to 80%. The likelihood of the above independent cases follows the following exponential distributions: f(r)=2e^(-2r) f(t)=0.5e^(-0.5t) (solve using Acceptance method) If the city considers to invest in updating the south interceptor and to increase its capacity by 20%, how much resiliency improvement can be expected if we keep the same emergency rules for the new pipeline?