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Volume 24 (2024)
Volume 24, Issue 2
Pg 109 - 236 (December 2024)
Volume 24, Issue 1
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International Journal of Numerical Methods and Applications
International Journal of Numerical Methods and Applications
Volume 2, Issue 1, Pages 67 - 80 (September 2009)
STEADY STATE SOLUTION OF OPTIMAL PRODUCTION CONTROL OF A DYNAMIC FOUR-PRODUCT MANUFACTURING SYSTEM WITH SETUP COSTS AND SETUP TIME
A. Samson Onanaye (Nigeria) and M. Remilekun Odekunle (Nigeria)
Abstract:
The steady state solution of optimal control of a one-machine four-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).
Keywords and phrases:
optimal control, production, cost function, manufacturing, product type.
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P-ISSN: 0975-0452
Journal Stats
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h-index (Google Scholar):
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