Unformatted text preview: W Q = L Q Î» = ( Î»/Î¼ ) s Î¼ ( s âˆ’ 1)!( sÎ¼ âˆ’ Î» ) 2 P â€¢ Mean time in the system: W Sys = W Q + 1 Î¼ â€¢ Mean number in system: L Sys = Î»W Sys = L Q + Î» Î¼ â€¢ Probability an arriving customer receives service: 1 â€¢ Proportion of time all servers are idle: P M/M/s/s â€¢ P n â€” probability of n in the system: P = Â° 1 + Â° Â± s n =1 Î» n n ! Î¼ n Â²Â² âˆ’ 1 , P n = Î» n n ! Î¼ n P for n = 1 ,...,s , and P n = 0 for n > s â€¢ Mean number in system: Â± s n =1 nP n â€¢ Mean number in queue: 0 â€¢ Mean time in the system: 1 /Î¼ â€” for customers who get in! â€¢ Mean waiting time in queue: 0 â€¢ Probability an arriving customer receives service: 1 âˆ’ P s â€¢ Proportion of time all servers are idle: P...
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- Fall '09
- Poisson Distribution, Probability theory, pn, mean number, following formulae summarize