How accurate is the integrated vendor-buyer continuous model?

Israel David, Moshe Eben-Chaime

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


The classic single-item, deterministic-demand, integrated vendor-buyer model is revisited. The decision problem may also be viewed as that of one centralized firm, dealing with a two-level EOQ-like supply chain with finite production rates. It is sought to optimize the production lot-size and the integral number of its shipments, in equal batches, from the vendor to the buyer. While the problem calls for discrete optimization techniques, we introduced a continuous model where one can take derivatives with respect to both variables. In this short paper, we establish a 98.5% lower bound on the accuracy of this continuous model.

Original languageEnglish
Pages (from-to)805-810
Number of pages6
JournalInternational Journal of Production Economics
Issue number2
StatePublished - 1 Aug 2008


  • Continuous approximation
  • Production-inventory
  • Supply chains
  • Vendor-buyer models

ASJC Scopus subject areas

  • Business, Management and Accounting (all)
  • Economics and Econometrics
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering


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