scholarly journals Application of Generalized Hukuhara derivative approach in an economic production quantity model with partial trade credit policy under fuzzy environment

2016 ◽  
Vol 3 ◽  
pp. 77-91 ◽  
Author(s):  
Pinki Majumder ◽  
Sankar Prasad Mondal ◽  
Uttam Kumar Bera ◽  
Manoranjan Maiti
Author(s):  
Shaikh Akbar ◽  
Leopoldo Cárdenas-Barrón ◽  
Manna Kumar ◽  
Armando Céapedes-Mota

It is well-known that the production-inventory problem for deteriorating items in the supply chain is a challenge when deciding on how many products to manufacture to obtain a maximum total profit. This research work develops an economic production quantity model for a deteriorating item under partial trade credit policy considering inflation, the effect of reliability factor of a production system, and the demand depending on the price of a product whose selling price is optimized. The production- inventory model is formulated as a nonlinearly constrained optimization problem by analyzing different cases. Finally, through a numerical example, a sensitivity analysis is performed so to study the effect of different parameters, changing one parameter at a time and keeping others fixed at their original values.


2019 ◽  
Vol 3 (1) ◽  
pp. 14
Author(s):  
Jaka Permana

<p><em>Implementation of the supply chain is felt more important and very useful in today’s era  of industrialization. But in the process of supply chain encountered  various  risks that may affect the flow of the supply chain so it can not run smoothly, such as interference or imperfectness  in transportations. This research  was made to propose a mathematical model for a supply chain under the effect of unexpected disruptions  in transport. Supplier/manufacturer offers the retailer  a trade credit period t<sub>1</sub> , then the retailer offers the customer a credit with a period of t<sub>2</sub>  and finally the retailer receives the revenue from t<sub>2</sub>  ke T + t<sub>2</sub> , where T is the cycle time at the retailer.  Under this situation,  the three cases such as T ≤ t<sub>1</sub> ≤ T + t<sub>2</sub> , T ≤ T + t<sub>1</sub> ≤ t<sub>2</sub>, and  t<sub>1</sub>  ≤ t<sub>2</sub> are discussed. An EPQ (Economic Production Quantity) based model is established and retailer’s optimal replenishment policy is obtained through mathematical theorems. From the results of testing on several cases, the best solution for the two procedures has been obtained, namely between risk neutral and risk averse solutions based on the level or number of items damaged/defective. If the number of items damaged is 2 units, then solution risk neutral is far better than the risk averse solution, whereas if the number of items is damaged </em> <em>3 units, then the risk averse solution is far better than the risk neutral solution.</em></p><p class="HowToCite"> </p>


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