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Models of manufacturing systems

  • Suresh P. Sethi
  • Qing Zhang
Chapter
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

The class of convex production planning models is an important paradigm in the operations management/operations research literature. The earliest formulation of a convex production planning problem in a discrete-time framework dates back to Modigliani and Hohn [133] in 1955. They were interested in obtaining a production plan over a finite horizon in order to satisfy a deterministic demand and minimize the total discounted convex costs of production and inventory holding. Since then the model has been further studied and extended in both continuous-time and discrete-time frameworks by a number of researchers, including Johnson [100], Arrow, Karlin, and Scarf [8], Veinott [199], Adiri and Ben-Israel [1], Sprzeuzkouski [184], Lieber [124], and Hartl and Sethi [83]. A rigorous formulation of the problem along with a comprehensive discussion of the relevant literature appears in Bensoussan, Crouhy, and Proth [17].

Keywords

Manufacturing System Setup Cost Admissible Control Part Type Wafer Fabrication 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Suresh P. Sethi
    • 1
  • Qing Zhang
    • 2
  1. 1.Faculty of ManagementUniversity of TorontoTorontoCanada
  2. 2.Department of MathematicsUniversity of GeorgiaAthensUSA

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