Decentralised planning coordination with quantity discount contract in a divergent supply chain

Maxime Ogier, Van Dat Cung, Julien Boissière, Sai Ho Chung

Research output: Journal article publicationJournal articleAcademic researchpeer-review

22 Citations (Scopus)


This paper proposes to solve a supply chain planning problem with realistic features. The problem consists of planning productions, transportations and storage activities in a supply chain at a tactical level on a finite horizon. The main features considered are decentralised decision making and iteration of the planning process on a rolling horizon basis. In each planning process, the actors optimise their local planning and coordinate to achieve a good overall planning. A multi-agent system is used to model such supply chain behaviour. The study is conducted in a divergent two-echelon supply chain with one manufacturer and multiple independent retailers. Coordination is achieved using a standard contract in practice, known as the quantity discount contract. The planning framework on the supply chain structure is detailed. Lot-sizing models integrating the quantity discount are presented for the local planning problems. Experimental tests are conducted with three major parameters: quantity discount price, quantity discount breakpoint and rolling horizon length. They are used to determine the quantity discount parameters in achieving the best supply chain profit, and to analyse the increasing profit of the actors. A decision-making tool which is able to consider realistic features of supply chain planning is therefore resulted.
Original languageEnglish
Pages (from-to)2776-2789
Number of pages14
JournalInternational Journal of Production Research
Issue number9
Publication statusPublished - 1 May 2013


  • coordination mechanism
  • decentralised supply chain
  • lot-sizing
  • planning
  • quantity discount

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering


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