Steady State Solution of Optimal Production Control of a Dynamic Five-Product Manufacturing System with Setup Costs and Setup Time
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Date
2011-10-03
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International Journal of Numerical Methods and Applications
Abstract
The steady state solution of optimal control of a one-machine five-product
manufacturing system with setup changes, operating in a continuous time
dynamic environment is considered here. The system is deterministic.
When production is switched from one product to the other, a known
constant setup time and a setup cost are incurred. Each product has
specified constant processing time and constant demand rate, as well as an
infinite supply of raw material. The problem is formulated as a feedback
control problem. The aim is to minimize the total backlog, inventory and
setup costs incurred over a finite horizon. The optimal solution provides
the optimal production rate and setup switching epochs as a function of
the state of the system (backlog and inventory levels).
Description
The article contains part of my PhD results.
Keywords
Optimal Control, Production, Cost Function, Manufacturing and Product Type
Citation
1