![]() ![]() The assignment seeks to provide students with the opportunity to gain a better understanding of two queuing theories: M/D/1 and M/M/1. "There is evidence (Hurt, 1981) that traveling between lanes of stopped or slow-moving cars (i.e., lane splitting) on multiple-lane roads (such as interstate highways) slightly reduces crash frequency compared with staying within the lane and moving with other traffic." Two motorcycle riders lane splitting in California, USA Some other places have considered these unsuccessfully. ![]() ![]() To minimize wait time at a queue on the road, some places allow lane filtering and even lane splitting under certain circumstances. This typically works well until all the other drivers figure out the same thing and shift congestion to a different time. People that are tired of being in network queues on their way to work may attempt to leave earlier or (if possible) later than rush hour to decrease their own travel time. Similar decisions can be seen in traffic. Perhaps an earlier one to avoid the lunch or dinner rush. How do you deal with that? Maybe nothing can be done at that time, but the next time you go to that restaurant, you might pick a new time. Think about going out to dinner, only to find a long line at your favorite restaurant. How does one minimize wait time at a queue?Ĭutting in line always helps, but this problem will be answered without breaking any rules. We can compute the same results using the M/D/1 equations, the results are shown in the Table below.Ĭomparison of M/D/1 and M/M/1 queue properties 'Īs can be seen, the delay associated with the more random case (M/M/1, which has both random arrivals and random service) is greater than the less random case (M/D/1), which is to be expected. ![]()
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