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Santa Monica College Operation Managment Question

 

I’m working on a management question and need support to help me learn.

Complete problem D.15 at the end of Module D of your textbook . Document your calculations/solutions in a Word doc and submit your assignment here. No PDFs please. I will attach the grading rubric as well

The typical subway station in Washington, DC, has  six turnstiles, each of which can be controlled by the station manager to be used for either entrance or exit control—but never for  both. The manager must decide at different times of the day how  many turnstiles to use for entering passengers and how many to  use for exiting passengers. At the George Washington University (GWU) Station, passengers enter the station at a rate of about 84 per minute between the  hours of 7 a.m. and 9 a.m. Passengers exiting trains at the stop reach  the exit turnstile area at a rate of about 48 per minute during the  same morning rush hours. Each turnstile can allow an average of  30 passengers per minute to enter or exit. Arrival and service times  have been thought to follow Poisson and negative exponential distributions, respectively. Assume riders form a common queue at both  entry and exit turnstile areas and proceed to the first empty turnstile. The GWU station manager, Gerald Aase, does not want the  average passenger at his station to have to wait in a turnstile line  for more than 6 seconds, nor does he want more than 8 people in  any queue at any average time

a) How many turnstiles should be opened in each direction every  morning?

b) Discuss the assumptions underlying the solution of this problem using queuing theory

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