In this paper, an EOQ inventory model is developed for deteriorating items with variable rates of deterioration and conditions of grace periods when demand is a quadratic function of time. The deterioration rate consi...In this paper, an EOQ inventory model is developed for deteriorating items with variable rates of deterioration and conditions of grace periods when demand is a quadratic function of time. The deterioration rate considered here is a special type of Weibull distribution deterioration rate, i.e., a one-parameter Weibull distribution deterioration rate and it increases with respect to time. The quadratic demand precisely depicts of the demand of seasonal items, fashion apparels, cosmetics, and newly launched essential commodities like android mobiles, laptops, automobiles etc., coming to the market. The model is divided into three policies according to the occurrence of the grace periods. Shortages, backlogging and complete backlogging cases are not allowed to occur in the model. The proposed model is well-explained with the help of a simple solution procedure. The three numerical examples are taken to illustrate the effectiveness of the EOQ inventory model along with sensitivity analysis.展开更多
Under the combined effects of inventory-level-dependent demand(ILDD)and trade credit,the retailer is able to order more quantities to stimulate market demand.However,from the supplier's perspective,two important i...Under the combined effects of inventory-level-dependent demand(ILDD)and trade credit,the retailer is able to order more quantities to stimulate market demand.However,from the supplier's perspective,two important issues are lacking sufficient attention.First,during the credit period,the retailer's higher order quantities imply increases in both the retailer's account payable and the supplier's opportunity cost of capital.Second,given the supplier's fixed production rate,the increased market demand may drive the capacity utilization to be variable.Thus,by formulating a supplier-dominated system,this paper incorporates trade credit limit(TCL)to address its effects on optimal policies vis-a-vis the item with ILDD.Specifically,three indicators can be proposed to reveal which type of financing policy the retailer should choose.Moreover,based on TCL,the supplier can effectively manage the retailer's order quantity and the corresponding account payable.Additionally,the retailer's maximum allowable order quantity is developed to ensure that the supplier can supply the retailer's order quantity on time.Furthermore,when the effects of ILDD become more significant,the manufacturer will reduce the maximum allowable order quantity to control the retailer's order incentive.展开更多
文摘In this paper, an EOQ inventory model is developed for deteriorating items with variable rates of deterioration and conditions of grace periods when demand is a quadratic function of time. The deterioration rate considered here is a special type of Weibull distribution deterioration rate, i.e., a one-parameter Weibull distribution deterioration rate and it increases with respect to time. The quadratic demand precisely depicts of the demand of seasonal items, fashion apparels, cosmetics, and newly launched essential commodities like android mobiles, laptops, automobiles etc., coming to the market. The model is divided into three policies according to the occurrence of the grace periods. Shortages, backlogging and complete backlogging cases are not allowed to occur in the model. The proposed model is well-explained with the help of a simple solution procedure. The three numerical examples are taken to illustrate the effectiveness of the EOQ inventory model along with sensitivity analysis.
文摘Under the combined effects of inventory-level-dependent demand(ILDD)and trade credit,the retailer is able to order more quantities to stimulate market demand.However,from the supplier's perspective,two important issues are lacking sufficient attention.First,during the credit period,the retailer's higher order quantities imply increases in both the retailer's account payable and the supplier's opportunity cost of capital.Second,given the supplier's fixed production rate,the increased market demand may drive the capacity utilization to be variable.Thus,by formulating a supplier-dominated system,this paper incorporates trade credit limit(TCL)to address its effects on optimal policies vis-a-vis the item with ILDD.Specifically,three indicators can be proposed to reveal which type of financing policy the retailer should choose.Moreover,based on TCL,the supplier can effectively manage the retailer's order quantity and the corresponding account payable.Additionally,the retailer's maximum allowable order quantity is developed to ensure that the supplier can supply the retailer's order quantity on time.Furthermore,when the effects of ILDD become more significant,the manufacturer will reduce the maximum allowable order quantity to control the retailer's order incentive.
