Article citationsMore>>

Billington, P.J., McClain, J.O. and Joseph Thomas, L. (1983) Mathematical Programming Approaches to Capacity-Constrained MRP Systems: Review, Formulation and Problem Reduction. Management Science, 29, 1126-1141. https://doi.org/10.1287/mnsc.29.10.1126

has been cited by the following article:

• TITLE: Computationally Efficient Problem Reformulations for Capacitated Lot Sizing Problem

  AUTHORS: Renduchintala Raghavendra Kumar Sharma, Priyank Sinha, Mananjay Kumar Verma

  KEYWORDS: Capacitated Lot Sizing Problem, Efficient Problem Formulation, Branch and Bound

  JOURNAL NAME: American Journal of Operations Research, Vol.8 No.4, July 18, 2018

  ABSTRACT: In this article, we propose novel reformulations for capacitated lot sizing problem. These reformulations are the result of reducing the number of variables (by eliminating the backorder variable) or increasing the number of constraints (time capacity constraints) in the standard problem formulation. These reformulations are expected to reduce the computational time complexity of the problem. Their computational efficiency is evaluated later in this article through numerical analysis on randomly generated problems.