# Mean Value Analysis

**Mathematics Accomplishment |** **1980**

**I**** BM researchers:** Martin Reiser, Steve Lavenberg

**Where the work was done**: IBM Zurich Research Lab, IBM T.J. Watson Research Center

**What we accomplished**: Recursive technique for computing expected queue lengths, waiting time at queuing nodes and throughput in equilibrium for a closed separable system of queues.

**Related links**: Wikipedia entry on Mean Value Analysis; Mean-Value Analysis of Closed Multichain Queuing Networks (Journal of the ACM, April 1980); Stationary State Probabilities at Arrival Instants for Closed Queueing Networks with Multiple Types of Customers (Journal of Applied Probability, December 1980); Reiser's Law: Software is getting slower faster than hardware is getting faster (AKA Wirth's Law).

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