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A Discounted-Cost Continuous-Time Flexible Manufacturing and Operator Scheduling Model Solved by Deconvexification Over Time*

Published online by Cambridge University Press:  27 July 2009

B. Curtis Eaves  and
Uriel G. Rothblum
B. Curtis Eaves
Affiliation:
Faculty of Industrial Engineering and Management, Technion-lsrael Institute of Technology, Haifa 32000, Israel
Uriel G. Rothblum
Affiliation:
Faculty of Industrial Engineering and Management, Technion-lsrael Institute of Technology, Haifa 32000, Israel
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Abstract

A discounted-cost, continuous-time, infinite-horizon version of a flexible manufacturing and operator scheduling model is solved. The solution procedure is to convexify the discrete operator-assignment constraints to obtain a linear program and then to regain the discreteness and obtain an approximate manufacturing schedule by deconvexification of the solution of the linear program over time. The strong features of the model are the accommodation of linear inequality relations among the manufacturing activities and the discrete manufacturing scheduling, whereas the weak features are intra-period relaxation of inventory availability constraints and the absence of inventory costs, setup times, and setup charges.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 9 , Issue 1 , January 1995 , pp. 65 - 98
Copyright
Copyright © Cambridge University Press 1995

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References

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