Expected travel time and optimal boundary formulas for a two-class-based automated storage/retrieval system

  • P. Kouvelis
  • , V. Papanicolaou

    Research output: Contribution to journalArticlepeer-review

    59 Scopus citations

    Abstract

    Our paper studies a two-class-based rectangular-in-time automated storage/retrieval system (AS/RS). We present explicit formulas for the optima! boundary of the two storage areas as well as for the expected single command cycle time for an optimally designed rack. In the basic model each crane handles a single aisle. These formulas provide the designer with a full picture of the quantitative effects of the various factors (i.e., access frequencies of the two storage areas, and dimensions of the rack) on the optimal boundary of the two storage areas and the achievable cycle lime in the warehouse. We also develop expected travel time formulas for the dual command AS/RS with two-class-based storage policies and obtain the optimal boundary with a one-dimensional search procedure. Similar developments (i.e., expected travel time formulas and optimal boundary search procedures) are discussed for AS/RS with a single command policy but with each crane handling multiple aisles.

    Original languageEnglish
    Pages (from-to)2889-2905
    Number of pages17
    JournalInternational Journal of Production Research
    Volume33
    Issue number10
    DOIs
    StatePublished - Oct 1995

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