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On the equivalence of economic lot scheduling and switched production systems
 

Summary: On the equivalence of economic lot scheduling and
switched production systems
K.G.M. Jacobs
, Dieter Armbruster,
,
Erjen Lefeber
and J.E. Rooda
January 11, 2010
Abstract
Scheduling production of several product types in one machine such
that it satisfies known demands is known as the economic lot scheduling
problem. Finding the schedule of a machine that can produce differ-
ent types of products that optimizes a particular production measure
(work in progress, throughput, cycle time) is known as the switched
production problem. It is shown that the two problems are completely
equivalent by reversing the flows and replacing outside demand by
an infinite buffer of raw material. As an example, two results from
switched production systems are applied to the economic lot schedul-
ing problem: i) A feedback controller that allows recovery of a cyclic
production schedule from two products on one machine from an ar-

  

Source: Armbruster, Dieter - Department of Mathematics and Statistics, Arizona State University

 

Collections: Mathematics