American Journal of Applied Sciences

Lot-Sizing Decisions under Trade Credit Depending on the Ordering Quantity in Fuzzy Annual Demand

Chui-Yu Chiu, Zhi-Ping Lin and Yi Lin

DOI : 10.3844/ajassp.2009.2060.2065

American Journal of Applied Sciences

Volume 6, Issue 12

Pages 2060-2065


Problem statement: In reality, there are of various products such as liquids, volatile, medicines and materials, in which the rate of deterioration is very large. However, little attention has been mentioned what the effects of deterioration occur in most inventory systems. Also, the loss of the deterioration should not be neglected as an important issue. Approach: In this study, we proposed the problem of determining the Economic Order Quantity (EOQ) for exponentially deteriorating items under the conditions of permissible delay in payments. Recent researches revealed that the payment for the product must be made forthwith when the order quantity is less than the allowable delay in payments. The fixed trade credit period was permitted, or else. Therefore, we utilized the fuzzy theory to implement more considerable answers via numerical examples which were provided to illustrate the results clearly at the end of study. Results: This study discussed the optimal replenishment cycle time for an exponentially deteriorating product under conditions of permissible delay in payments to take the order quantity into account. Conclusion/Recommendations: This study presented another fuzzy environment inventory model which accounts for the permissible delay in payments offered by supplier to the retailer. From the results, it can be concluded that another point of view to decision makers in uncertainty.


© 2009 Chui-Yu Chiu, Zhi-Ping Lin and Yi Lin. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.