An inventory model with unequal sized batches for interrupted multi-stage production system
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Date
2005-05
Authors
Ng, Hou Guan
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Abstract
Inventories in a business serve much as the suspension system of an
automobile. Ups and downs in sales can be absorbed by inventory, just as the
car springs absorb bumps in the road. Without inventories, production would
have to respond directly to sales if service to customers were not to suffer.
Inventories also disengage manufacturing operations with different production
rates. Lot-size inventories make possible fewer machine setups and higher
machine utilization. Work-in-process guards against idle time of people and
downtime of equipment resulting from erratic flow.
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This dissertation discusses the multi-stage production inventory system
with unequal-sized batches. We want to make the comparison of the minimal
cost if the production is run in different processes. Although there have been
some researchers have been carried out in this area, there is no research
considering the interrupted process with unequal sized bathes. Our first model
discusses the production system with the constant value for the ratio of batches'
size. In the second model, the value for the ratio of two adjacent batches' size is
a variable. We also compare the cost in different situations. The objective of the models is to minimize the total cost. The solutions procedures to these models
are found using the searching method. Solutions to some solutions of the
models cannot be found directly from the formula derived. Therefore, we form
out several algorithms and find the solutions using computer programming.
They are illustrated with numerical examples and a discussion on the result is
carried out.
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Keywords
Inventories