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Estimating the parameters of a sporadically observed queue

Conference ·
OSTI ID:6934540
 [1]; ;  [2]
  1. Reynolds Electrical and Engineering Co., Inc., Las Vegas, NV (USA)
  2. Central Intelligence Agency, Washington, DC (USA)
Let X(t) be the number of customers in a queue at time t. Assume the queue is either M/M/1 or M/M/{infinity}. Suppose we count the number of customers x{sub i} at times t{sub 0} < t{sub 1} <{hor ellipsis}< t{sub n}, where t{sub i}'s do not depend on the number of customers in the queue. Write u{sub i} = t{sub i} {minus} t{sub i-1}. Let {lambda}/{mu}. We estimate {lambda} and {mu}, by maximizing the likelihood function. First we'll present the likelihood function and then discuss the maximization problem.
Research Organization:
Reynolds Electrical and Engineering Co., Inc., Las Vegas, NV (USA)
Sponsoring Organization:
DOE/DP
DOE Contract Number:
AC08-89NV10630
OSTI ID:
6934540
Report Number(s):
CONF-9008101-2; ON: DE90012903
Country of Publication:
United States
Language:
English

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