A framework for modelling setup carryover in the capacitated lot sizing problem

M. Gopalakrishnan, D. M. Miller, C. P. Schmidts

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


This paper addres.xs the single-level capacitated lo1 sizing problem (CLSP) with setup carryover. Specifically, we consider a class of production planning problems in which multiple products can be produced within a time period and significant setup times are incurred when changing from one product to another. Hence, there might be instances where developing a feasible schedule becomes possible only if setups are carried over from one period to another. We develop a modelling framework to formulate the CLSP with setup limes and setup carryovers. We then extend the modelling framework to include multiple machines and tool reouirements olannin-e. The need for such a model that inteerates both olannin-e and lot sizing decisions is motivated by the existence of a similar problem in a paper mill. We ao.o. lv. the modellinx- framework to solve ootimallv. an instance of the.oa o. er mill's problem.

Original languageEnglish (US)
Pages (from-to)1973-1988
Number of pages16
JournalInternational Journal of Production Research
Issue number7
StatePublished - Jul 1995
Externally publishedYes

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering


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