On-line integrated production and outbound distribution scheduling to minimize the maximum delivery completion time

Chi To Ng, Lingfa Lu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

16 Citations (Scopus)

Abstract

In this paper, we consider the on-line integrated production and outbound distribution scheduling problem to minimize the maximum delivery completion time. All jobs arrive over time, and each job and its processing time become known at its arrival time. The jobs are first processed on a single machine and then delivered by a vehicle to a single customer. The vehicle can deliver at most c jobs to the customer at a time. When preemption is allowed and c > 2, we can provide an on-line algorithm with the best competitive ratio 2 √5+1/2≈ 1.618. When preemption is not allowed, we provide an on-line algorithm which has the best competitive ratio √5+1/2≈ 1.618 for the case c = 1 and has an asymptotic competitive ratio √5+1/2≈1.618 for the case c > 2.
Original languageEnglish
Pages (from-to)391-398
Number of pages8
JournalJournal of Scheduling
Volume15
Issue number3
DOIs
Publication statusPublished - 1 Jun 2012

Keywords

  • Competitive ratio
  • On-line algorithm
  • Scheduling

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence
  • Engineering(all)
  • Management Science and Operations Research

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