On price increases and temporary price reductions with partial backordering

In the previous researches, a generalised production-inventory model is considered along with partial backordering, i.e., the situation when a fraction of shortage quantity is not backordered. The work is extended for the case where any supplier offers a short-term price discount. An optimum special order quantity and the potential cost savings are obtained for different possible stock status at the time of replenishment of a special large order size. Similarly, the case in which a price increase is declared by the manufacturers/suppliers is incorporated in the model. Numerical examples are provided in order to illustrate the formulation along with the sensitivity analysis. [Received 11 December 2007; Revised 21 February 2008; Second Revision 04 March 2008; Accepted 06 May 2008]