This paper develops an inventory model for deteriorating items with finite replenishment rate under a progressive payment scheme within the cycle time.In this model,the deterioration function follows a probability dis...This paper develops an inventory model for deteriorating items with finite replenishment rate under a progressive payment scheme within the cycle time.In this model,the deterioration function follows a probability distribution such as a(1)uniform distribution,(2)triangular distribution or(3)beta distribution.Here,the retailer is allowed a trade-credit offer by the supplier to buy more items.This model aids in minimizing the total inventory cost of the retailer by finding the optimal cycle length,the optimal time length of replenishment and the optimal order quantity.Some theorems have been framed to characterize the optimal solutions.The necessary and sufficient conditions of the existence and uniqueness of the optimal solutions are also provided.The optimal solution of the model is illustrated with the help of numerical examples,and numerical comparisons between the three models are also given.Finally,sensitivity analysis and graphical representations are given to demonstrate the model.展开更多
Intelligent manufacturing design of a complex production-inventory system becomes a key issue for the organization of responsiveness to uncertainties.This paper addresses a two-echelon production-inventory model for a...Intelligent manufacturing design of a complex production-inventory system becomes a key issue for the organization of responsiveness to uncertainties.This paper addresses a two-echelon production-inventory model for a non-repairable product where the system consists of single manufacturer and single retailer.The manufacturer procures raw material(which also contains imperfect raw materials)from an outside supplier then proceeds to convert perfect-quality raw material as a finished product,and finally delivers to the retailer.In this study we assume that the demand is sensitive to promotional efforts/sales teams’initiatives and the production rate is uncertain but possible to describe with a triangular fuzzy number.Then we use the signed distance method to defuzzify the fuzzy joint total cost and an analytical method is employed to achieve the optimal solutions so that the total costs of both manufacturer and retailer are minimized.An efficient algorithm is developed to design an intelligent manufacturing strategy such as optimal production lot-size,backlogging and the initiatives of sales teams.A numerical example and sensitivity analysis are given to demonstrate the application of the proposed model.展开更多
基金This research work is supported by DST INSPIRE,Ministry of Science and Technology,Government of India under the grant no.DST/INSPIRE Fellowship/2011/413B dated 02.12.2014.
文摘This paper develops an inventory model for deteriorating items with finite replenishment rate under a progressive payment scheme within the cycle time.In this model,the deterioration function follows a probability distribution such as a(1)uniform distribution,(2)triangular distribution or(3)beta distribution.Here,the retailer is allowed a trade-credit offer by the supplier to buy more items.This model aids in minimizing the total inventory cost of the retailer by finding the optimal cycle length,the optimal time length of replenishment and the optimal order quantity.Some theorems have been framed to characterize the optimal solutions.The necessary and sufficient conditions of the existence and uniqueness of the optimal solutions are also provided.The optimal solution of the model is illustrated with the help of numerical examples,and numerical comparisons between the three models are also given.Finally,sensitivity analysis and graphical representations are given to demonstrate the model.
基金The second author’s research work is supported by DST INSPIRE,Ministry of Science and Technology,Government of India under the grant no.DST/INSPIRE Fellowship/2011/413B dated 15.01.2014.
文摘Intelligent manufacturing design of a complex production-inventory system becomes a key issue for the organization of responsiveness to uncertainties.This paper addresses a two-echelon production-inventory model for a non-repairable product where the system consists of single manufacturer and single retailer.The manufacturer procures raw material(which also contains imperfect raw materials)from an outside supplier then proceeds to convert perfect-quality raw material as a finished product,and finally delivers to the retailer.In this study we assume that the demand is sensitive to promotional efforts/sales teams’initiatives and the production rate is uncertain but possible to describe with a triangular fuzzy number.Then we use the signed distance method to defuzzify the fuzzy joint total cost and an analytical method is employed to achieve the optimal solutions so that the total costs of both manufacturer and retailer are minimized.An efficient algorithm is developed to design an intelligent manufacturing strategy such as optimal production lot-size,backlogging and the initiatives of sales teams.A numerical example and sensitivity analysis are given to demonstrate the application of the proposed model.
