Quiz for ISE 3414 - Prob Operations Research with Bish at Virginia Tech (VT)

Quiz Information

Material Type:Quiz 4
Class:ISE 3414 - Prob Operations Research
Subject:Industrial and Systems Enginee
University:Virginia Polytechnic Institute And State University
Term:Fall 2007
  • Transmission
  • Explanation
  • Calculators
  • The Message
  • Probabilities
  • Probabilistic
  • Inventories
  • One-Step Transition Probability
  • Markov Chain
  • Conditioning
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Sample Document Text

ISE 3414 - POR, Quiz 4 POR STUDENT NUMBER: Dr. Bish, Fall 07, Total Points: 20 . You are allowed four letter-size pages only (you can use both sides). No calculators, laptops, cellphones, or any other electronic device . . To obtain any credit, you must show all your work. No credit will be given otherwise. Read FIRST all problems. The easiest problem may not be the first one! 1. (10 pts) Note that this problem has a slight modification (bolded below) over the problem you have seen in class. Consider a communication system consisting of a buffer with finite capacity and multiple transmission channels. Messages arrive at the buffer randomly over time according to a given probability distribution. The messages are first stored in the buffer, which has capacity for N messages. Each message which finds upon arrival that the buffer is full is lost and does not influence the system. Such an arrival is called a buffer overflow. At fixed clock times n = 0, 1,2,иии, messages are taken out from ...

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