The International Journal of Advanced Manufacturing Technology

, Volume 28, Issue 11, pp 1254–1260

Linear approach for solving a piecewise linear vendor selection problem of quantity discounts using lexicographic method


  • N. Arunkumar
    • Department of Mechanical EngineeringSt. Joseph’s College of Engineering
    • Department of Mechanical Engineering, Central Workshop DivisionAnna University
  • S. Anand
    • Department of Industrial EngineeringAnna University
  • T. Ramesh Babu
    • Department of Industrial EngineeringAnna University
Original Article

DOI: 10.1007/s00170-004-2474-z

Cite this article as:
Arunkumar, N., Karunamoorthy, L., Anand, S. et al. Int J Adv Manuf Technol (2006) 28: 1254. doi:10.1007/s00170-004-2474-z


The multi-objective problem pertaining to vendor selection becomes complicated with the inclusion of a discount pricing schedule due to its nature of piecewise linearity. To overcome the difficulty of solving such a piecewise linear multi-objective problem, a linear approach is described in this paper. The use of the lexicographic method enables the decision-maker to establish the limit for defective components and late deliveries as constraints in the model. Demand can be exactly met considering the defective components present in the supply. Applying this approach to a manufacturing firm has proved its practicality. Also, the proposed methodology can be effectively used in JIT/Lean supply environments by fixing the number of vendors .


Lexicographic methodMulti-objective problemPiecewise linearity Quantity discountsVendor selection

Copyright information

© Springer-Verlag 2005