Question

Problem 2 (20 points) Vehicles begin to arrive at a parking lot after the start of arriving at a deterministic but time t is in minutes]. A single parking lot attendant processes vehicles (assigns will back up onto fees) at a deterministic rate at the station. A queue exceeding four congested street, and is to be avoided. a major sporting event. They are 3.3-0.1t [where A(t) is in veh/ min and varying rate A(t) vehicles will back up onto a w many vehicles per minute must the attendant process to ensure that the queue does not exceed four vehicles? (8 points) Now a new parking manager takes over. She goes over the data and finds that the arrival rate function parameters can be erroneous up to 25% with the worst-case sc a) Ho b) omes A(t) 4.125 - 0.075t. Given the possible errors, what should the service rate be to avoid the maximum queue of 4 vehicles in the worst-case scenario? (12 points) 3

Answer 1

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