Optimal Inventory Policies for Imperfect Inventory With Price Dependent Stochastic Demand and Partially Backlogged Shortages
Yugoslav journal of operations research, Tome 22 (2012) no. 2, p. 199
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The paper investigates a single period imperfect inventory model with price
dependent stochastic demand and partial backlogging. The backorder rate is a nonlinear
non-increasing function of the magnitude of shortage. Two special cases are considered
assuming that the percentage of defective items follows a truncated exponential
distribution and a normal distribution respectively. The optimal order quantity and the
optimal mark up value are determined such that the expected total profit of the system is
maximized. Numerical example is given to illustrate the proposed model which is
compared with the traditional model of perfect stock. Sensitivity analysis is performed to
explain the behavior of the proposed model with respect to the key parameters.
Classification :
90B05
Keywords: Imperfect inventory, price-dependent stochastic demand, random defective units, partial backlogging.
Keywords: Imperfect inventory, price-dependent stochastic demand, random defective units, partial backlogging.
@article{YJOR_2012_22_2_a3,
author = {Jhuma Bhowmick and G.P. Samanta},
title = {Optimal {Inventory} {Policies} for {Imperfect} {Inventory} {With} {Price} {Dependent} {Stochastic} {Demand} and {Partially} {Backlogged} {Shortages}},
journal = {Yugoslav journal of operations research},
pages = {199 },
year = {2012},
volume = {22},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2012_22_2_a3/}
}
TY - JOUR AU - Jhuma Bhowmick AU - G.P. Samanta TI - Optimal Inventory Policies for Imperfect Inventory With Price Dependent Stochastic Demand and Partially Backlogged Shortages JO - Yugoslav journal of operations research PY - 2012 SP - 199 VL - 22 IS - 2 UR - http://geodesic.mathdoc.fr/item/YJOR_2012_22_2_a3/ LA - en ID - YJOR_2012_22_2_a3 ER -
%0 Journal Article %A Jhuma Bhowmick %A G.P. Samanta %T Optimal Inventory Policies for Imperfect Inventory With Price Dependent Stochastic Demand and Partially Backlogged Shortages %J Yugoslav journal of operations research %D 2012 %P 199 %V 22 %N 2 %U http://geodesic.mathdoc.fr/item/YJOR_2012_22_2_a3/ %G en %F YJOR_2012_22_2_a3
Jhuma Bhowmick; G.P. Samanta. Optimal Inventory Policies for Imperfect Inventory With Price Dependent Stochastic Demand and Partially Backlogged Shortages. Yugoslav journal of operations research, Tome 22 (2012) no. 2, p. 199 . http://geodesic.mathdoc.fr/item/YJOR_2012_22_2_a3/