Approximate Analysis of Fork/Join Synchronization in Parallel Queues
IEEE Transactions on Computers
On the diffusion approximation to a fork and join queueing model
SIAM Journal on Applied Mathematics
Bound Performance Models of Heterogeneous Parallel Processing Systems
IEEE Transactions on Parallel and Distributed Systems
Simulation Modeling and Analysis
Simulation Modeling and Analysis
Inter-Departure Times in Base-Stock Inventory-Queues
Queueing Systems: Theory and Applications
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This paper presents formulas for approximating the distribution of the cycle time of a job in a two-stage fork-join network in equilibrium. The key step is characterizing the departure process from the first node. Statistical tests justify that the approximate distribution is a good fit to the actual one. We discuss related approximations for m-stage networks, and present a formula for approximating the mean cycle time in a m-stage fork-join network.