A note on inventory model for perishable items with trapezoidal type market demand and time-varying holding cost under partial backlogging

Smrutirekha Debtaa,* and Milu Acharya b

A note on inventory model for perishable items with trapezoidal type market demand and time-varying holding cost under partial backlogging

Authors :

Smrutirekha Debta^a,* and Milu Acharya ^b

Author Address :

^aDepartment of Mathematics, Utkal University, Vani Vhiar, Bhubaneswar, Odisha, India.
^bDepartment of Mathematics, SOA University, Bhubaneswar, Odisha, India.

*Corresponding author.

Abstract :

In this paper, we studied an inventory model for perishable items with time dependent trapezoidal type demand. Shortages are allowed and partially backlogged with a constant rate. Holding cost is assumed to be linearly dependent with time. The rate of deterioration of the items dependent on both time and life of the products. The numerical solution of the model is obtained. Sensitivity analysis is performed to show the effect of changes in the parameter on the optimum solution.

Keywords :

Trapezoidal type demand function, Partial backlogging, Time dependent deterioration rate, Timevarying holding cost.

DOI :

Article Info :

Received : October 29, 2015; Accepted : January 17, 2016.