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RECORD NUMBER: 32 OF 37

Main Title Sensitivity Analyses of Parameters of a M(t)/G/infinity Stochastic Service System.
Author Patterson, R. L. ; Ma, Z. Q. ;
CORP Author Michigan Univ., Ann Arbor. School of Natural Resources.;Environmental Research Lab.-Duluth, MN.
Publisher c1988
Year Published 1988
Report Number EPA-R-806565; EPA/600/J-88/455;
Stock Number PB90-147380
Additional Subjects Ecology ; Stochastic processes ; Regression analysis ; Mathematical models ; Data smoothing ; Linear regression ; Least squares method ; Reprints ; Applied mathematics
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NTIS  PB90-147380 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
Collation 10p
Abstract
Parameter sensitivity analyses were conducted on a M(t)/G/infinity stochastic service system in which the number of constants in an approximating nonhomogenous Poisson process of inputs, the mean of a Weibull c.d.f. of service time, and the variance of the c.d.f. of service time were traded off in analyses of 24 cases for each of two fitting criteria: an L(1) metric implemented by a linear goal program, and an L(2) metric implemented by a multilinear least squares regression. The model goodness of fit and estimated total input to the system are both more sensitive to the mean service time than to its variance or to the number of constants in the approximating Poisson input. The fitting criteria give consistent results, the L(2) criterion gives slightly higher estimates of total input to the system over fixed period of time.