Single Supplier Scheduling for Multiple Deliveries

Edwin Tai Chiu Cheng, Mikhail Y. Kovalyov

Research output: Journal article publicationJournal articleAcademic researchpeer-review

18 Citations (Scopus)

Abstract

The problem of scheduling the production and delivery of a supplier to feed the production of F manufacturers is studied. The orders fulfilled by the supplier are delivered to the manufacturers in batches of the same size. The supplier's production line has to be set up whenever it switches from processing an order of one manufacturer to an order of another manufacturer. The objective is to minimize the total setup cost, subject to maintaining continuous production for all manufacturers. The problem is proved to be NP-hard. It is reduced to a single machine scheduling problem with deadlines and jobs belonging to F part types. An O(N log F) algorithm, where N is the number of delivery batches, is presented to find a feasible schedule. A dynamic programming algorithm with O(NF/FF-2) running time is presented to find an optimal schedule. If F = 2 and setup costs are unit, an O(N) time algorithm is derived.
Original languageEnglish
Pages (from-to)51-63
Number of pages13
JournalAnnals of Operations Research
Volume107
Issue number1-4
DOIs
Publication statusPublished - 1 Dec 2001

Keywords

  • Batching
  • Delivery
  • Scheduling
  • Supply chain

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Management Science and Operations Research

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