The single-item lot-sizing problem with two production modes, inventory bounds, and periodic carbon emissions capacity

Siao Leu Phouratsamay, T. C.E. Cheng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


We consider the single-item lot-sizing problem with inventory bounds under a carbon emissions constraint with two options for producing items: regular or green. We wish to find the optimal production plan so that the total carbon emissions from production cannot exceed the carbon emissions capacity in each period. Extending a problem without fixed carbon emissions and inventory bounds, we show that the extended problem is polynomially solvable by a dynamic programming algorithm.

Original languageEnglish
Pages (from-to)339-343
Number of pages5
JournalOperations Research Letters
Issue number5
Publication statusPublished - Sep 2019


  • Carbon emissions constraint
  • Dynamic lot-sizing
  • Dynamic programming
  • Inventory bounds
  • Two production modes

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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