queuing analysis

Anonymous
timer Asked: Mar 17th, 2016

Question description

EBBD EMAIL – for Internal Use Only

To: You

From: Danny Wilco <dwilco@ebbd.com>

Subject: Re: Deliveries clogging the loading dock area

OK, here’s what I want to know: how often do we have more than 5 trucks, more than 6 trucks, and more than 7 trucks. What is the highest number of trucks we may have in the system with a 95% probability? And then, assuming the arrival rate of the deliveries does not change, what does the unload rate need to be so that we can service up to five trucks 95% of the time? In other words if we want a 95% probability of 5 or fewer trucks in the system at any one time, what does the unloading (service) rate need to be? Then, consider that we have two unloading teams, each able to unload trucks at the same rate. What does the unloading rate need to be for each team in order to ensure (100%) 5 or fewer trucks in the system at any time? I know we don’t have room for two unloading teams at this time, but there is a possibility we might make room in the future.

Analyze this situation and determine what we need to know and give me report. At this point in time, I am looking only for the problem to be quantified and the unload rate determined for the current situation (single server) and possible two servers.

Let me know if you have any questions.


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