Title :
Crisp simulation of fuzzy computations
Author :
Buckley, James J. ; Reilly, Kevin ; Zheng, Xidong
Author_Institution :
Dept. of Math., Alabama Univ., Birmingham, AL
Abstract :
We start by determining fuzzy numbers lambdamacr (mumacr) for the arrival (service) rate for a fuzzy queuing system. These fuzzy numbers are then used to compute the fuzzy steady state probabilities which in turn are employed to calculate fuzzy numbers for system performance. These fuzzy numbers for system performance are inputs into optimization models for Web planning. We then introduce a new way to perform (restricted) fuzzy arithmetic. We show how to use a standard (crisp) simulation package to obtain alpha-cuts of the fuzzy numbers for system performance from alpha-cuts of lambdamacr and mumacr. This implies that crisp simulation might be used for other fuzzy computations
Keywords :
digital simulation; fuzzy set theory; optimisation; probability; queueing theory; Web planning; crisp simulation package; fuzzy arithmetic; fuzzy computation; fuzzy numbers; fuzzy queuing system; fuzzy steady state probability; optimization model; Arithmetic; Computational modeling; Design optimization; Fuzzy sets; Fuzzy systems; Mathematics; Packaging; Probability; Steady-state; System performance;
Conference_Titel :
Uncertainty Modeling and Analysis, 2003. ISUMA 2003. Fourth International Symposium on
Conference_Location :
College Park, MD
Print_ISBN :
0-7695-1997-0
DOI :
10.1109/ISUMA.2003.1236140