Optimal ordering policies of an inventory model for deteriorating items with demand inversely proportional to the on-hand inventory

2012 ◽  
Vol 13 (2) ◽  
pp. 200
Author(s):  
V.V.S.S.V. Prasad Rao Patnaik ◽  
K. Srinivasa Rao
Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ranu Singh ◽  
Vinod Kumar Mishra

Purpose Carbon emission is a significant issue for the current business market and global warming. Nowadays, most countries have focused to reduce the environmental impact of business with durable financial benefits. The purpose of this study is to optimize the entire cost functions with carbon emission and to find the sustainable optimal ordering quantity for retailers. Design/methodology/approach This paper illustrates a sustainable inventory model having a set of two non-instantaneous substitutable deteriorating items under joint replenishment with carbon emission. In this model demand and deterioration rate are considered as deterministic, constant and triangular fuzzy numbers. The objective is to find the optimal ordering quantity for retailers and to minimize the total cost function per unit time with carbon emission. The model is then solved with the help of Maple software. Findings This paper presents a solution method and also develop an algorithm to determine the order quantities which optimize the total cost function. A numerical experiment illustrates the improvement in optimal total cost of the inventory model with substitution over without substitution. The graphical results show the convexity of the cost function. Finally, sensitivity analysis is given to get the impact of parameters and validity of the model. Originality/value This study considers a set of two non-instantaneous substitutable deteriorating items under joint replenishment with carbon emission. From the literature review, in the authors’ knowledge no researcher has undergone this kind of study.


1982 ◽  
Vol 31 (1-2) ◽  
pp. 85-96
Author(s):  
S. P. Mukherjee ◽  
R. Chakraborty

A static inventory model with random demand for a product having two­period life in the face of random lead time has been developed. Optimal order quantities assuming uniform demand and lead time have been worked out.


2012 ◽  
Vol 43 (9) ◽  
pp. 27-33
Author(s):  
Srinivasa RaoY. ◽  
Srinivasa Rao K. ◽  
Kesava Rao V.V.S.

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