On a class of order pick strategies in paternosters

Nelli Litvak, Ivo Adan

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)

Abstract

We study the travel time needed to pick n items in a paternoster, operating under the m-step strategy. This means that the paternoster chooses the shortest route among the ones that change direction at most once, and after collecting at most m items. For random pick positions, we find the distribution and moments of the travel time, provided n>2m. It appears that, already for m=2, the m-step strategy is very close to optimal, and better than the nearest item heuristic.
Original languageUndefined
Article number10.1016/S0167-6377(02)00154-2
Pages (from-to)377-386
Number of pages10
JournalOperations research letters
Volume30
Issue number6
DOIs
Publication statusPublished - Dec 2002

Keywords

  • Travel time distribution
  • Uniform spacings
  • IR-71580
  • EWI-17939
  • METIS-207012
  • Warehousing systems

Cite this

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On a class of order pick strategies in paternosters. / Litvak, Nelli; Adan, Ivo.

In: Operations research letters, Vol. 30, No. 6, 10.1016/S0167-6377(02)00154-2, 12.2002, p. 377-386.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - On a class of order pick strategies in paternosters

AU - Litvak, Nelli

AU - Adan, Ivo

PY - 2002/12

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AB - We study the travel time needed to pick n items in a paternoster, operating under the m-step strategy. This means that the paternoster chooses the shortest route among the ones that change direction at most once, and after collecting at most m items. For random pick positions, we find the distribution and moments of the travel time, provided n>2m. It appears that, already for m=2, the m-step strategy is very close to optimal, and better than the nearest item heuristic.

KW - Travel time distribution

KW - Uniform spacings

KW - IR-71580

KW - EWI-17939

KW - METIS-207012

KW - Warehousing systems

U2 - 10.1016/S0167-6377(02)00154-2

DO - 10.1016/S0167-6377(02)00154-2

M3 - Article

VL - 30

SP - 377

EP - 386

JO - Operations research letters

JF - Operations research letters

SN - 0167-6377

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M1 - 10.1016/S0167-6377(02)00154-2

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