The continuous modular design problem with linear separable side constraints

Research output: Contribution to journalArticle

2 Scopus citations


This paper describes a heuristic for designing a single module in the presence of linear side constraints and nonlinear requirements constraints. The objective is to minimize the total parts cost to satisfy demand for a set of end products. We model the problem as a nonconvex programming problem and show that the problem can be transformed into an equivalent convex problem. Due to the size of the potential applications we develop a heuristic procedure that is an extension of the Shaftel and Thompson algorithm. Closed form expressions are derived for determining feasible movement directions and step lengths. Computational results are promising since the CPU time required to run the heuristic is small and the solutions compared favorably with solutions generated by standard nonlinear programming software.

Original languageEnglish (US)
Pages (from-to)210-226
Number of pages17
JournalEuropean Journal of Operational Research
Issue number2
Publication statusPublished - Sep 25 1991



  • Design
  • manufacturing industries
  • nonlinear programming heuristics

ASJC Scopus subject areas

  • Information Systems and Management
  • Management Science and Operations Research
  • Statistics, Probability and Uncertainty
  • Applied Mathematics
  • Modeling and Simulation
  • Transportation

Cite this