Models of manufacturing systems

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


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].


Manufacturing System Setup Cost Admissible Control Part Type Wafer Fabrication 


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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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