Manufacturing systems with forbidden early order departure

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Abstract
An important class of manufacturing systems is made up of those systems which handle flows of discrete identifiable orders. Examined here is a subclass of such systems in which early shipment of customers' orders is not permitted. The relationship between flowtime, inventory, and tardiness is defined and the implications of these results are discussed. A methodology for determining the composition of system inventory is presented and the relation between order allowance and system inventory is provided. These principles are then applied by providing analytical results to an M/M/l queueing system.

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