Consider a service system with two servers with waiting spac…
Consider a service system with two servers with waiting space enough for one customer at any given time. In other words, there are at most three customers in the system and any excess customers are turned away. Suppose the interarrival time between customers follows the exponential distribution with rate 1, and the service time distribution of each server follows the exponential distribution with rate 0.4. Answer Q13-Q19 below.
Read DetailsFor each of the following, write down a queueing model using…
For each of the following, write down a queueing model using Kendall’s representation that best represents the system description. Assume exponential service times and Poisson arrivals. (a) At a festival, there is a hot dog stand with one server taking orders. The waiting space is virtually unlimited. [mm1] (b) A bank has a four tellers to work on identical tasks; the arriving customers are given printed numbers in order and join whichever teller that becomes available in the incoming order. Due to the capacity limit, it can accommodate up to 30 customers within the space. [mm1k] (c) There is a cash bar at a private event with two bartenders who can take orders in parallel. The event holds 25 guests where each decides that they need a new drink every half an hour. [mm1kk]
Read DetailsDue to a recent increase of school shootings, one high schoo…
Due to a recent increase of school shootings, one high school principal has decided to enlist a profiler to attempt to determine which students are at risk to commit a school shooting. The profiler provides the principal with a list of students said to be at risk. Which of the following is a potential problem with this procedure?
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