paPRing Lot Strategies The I Institute for Operations Resear

paPRing Lot Strategies The I Institute for Operations Research and the Management sciences (INFORMS) is an international scientific society with than 12,000 members. It is dedicated to the application of Choose a row Enter it and select the ckmest Eater the coses Park in any of the 20 scientific methods to im losest spaces If all prove decision making, management, and rnment, and education. They represent fields as diverse as the stock erations Members of the institute work primarily in airlines, health rket, and telecommunications care, law enforcement, the military, t market, and One study published by INFORMS was the result of research conducted by Dr. C. Richard Cassady of Mississippi State University and Dr. John Kobza of Virginia Polytechnic Institute The parking space study was conducted at a mall that has 4 entrances. 7 rows with 72 spaces each, and directional restrictions The researchers compared several parking lot strategies to see which strategy saves the most time. The two best strategies are called Pick a Row and Cycling The results are shown in the table Pick a Row Cycling Time from lot entrance to store\'s door61.3 seconds 70.7 seconds 208 feet Average walking distance to store Exercises likely to be empty? Explain your reasoning. likely to spend less time using the Pick-a-Row 6. A person is leaving from a row that is full. What is the 257 feet I. In a parking lot study, is each parking space equally 5. The parking lot is completely full, and one car leaves What is the probability that the car was in the first row? Explain your reasoning. 2. According to the results of the study, are you more probability that the person was parked in one of the 20 spaces that are closest to the store? strategy or the Cycling strategy? Explain. ch 3. According to the results of the study, are you more 7. Draw a diagram of the parking lot. Color code the likely to walk less using the Pick-a-Row strategy or the Cycling strategy? Explain parking spaces into three categories of 168 spaces each: most desirable, moderately desirable, and least desirable. Assume that the parking lot is half full. Estimate the probability that you can find a parking space in the most desirable category. Explain your reasoning 4. A key assumption in the study was that the drivers can see which spaces are available as soon as they enter a lane. Why is that important?

Solution

Chegg\'s policy allow me to answer only 1 question per post with 4 literals. I can gladly help you but you should post the other literals in a new post Thank you!

1) Yes because the probability theory say that each events ( in this case parking space) have the same probability to be chose for the clients

2) as you can see in the study the total time for pick a row is: 99

the total time for cycling is 123.2

you spend less time with pick a row

3)

according with the study you walk less with strategie of cycling (208 ft)

4)

Because if they can´t see the space they will think (when the parking is almost full) that there is no more space and they probabibly go away from the mall