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Relations between probabilities of low states describing the bottleneck of a certain inventory system and the dynamic parameters of an aggregated input

Galanc T.

Systems : journal of transdisciplinary systems science

2005

Vol. 10, nr 2

27-31

With a view to increasing the efficiency of operations, we investigate a bottleneck in an inventory system composed of the following subsystems: production, transport, storage, and receiver. A system of differential equations is introduced for the probabilities of the low states of a process controlled by an aggregated inventory input. It will be used in the mathematical description of the bottleneck in the investigated system.

Conditional probabilities of high states describing the bottleneck of a certain inventory system with an aggregated dynamic-parameter input

Galanc T.

Systems : journal of transdisciplinary systems science

2005

Vol. 10, nr 2

22-26

With a view to increasing the efficiency of operations, we investigate a bottleneck in an inventory system composed of the following subsystems: production, transport, storage, and receiver. Analytical formulae for the conditional probabilities of the high states of a process controlled by an aggregated inventory input are derived in order to obtain a mathematical description of the bottleneck in the investigated system.