In this paper,a deterministic inventory model for non-instantaneous deteriorating items with price-and time-dependent demand with inflation is developed.The demand is continuous and differentiable function of price an...In this paper,a deterministic inventory model for non-instantaneous deteriorating items with price-and time-dependent demand with inflation is developed.The demand is continuous and differentiable function of price and time.Shortages are allowed and the unsatisfied demand is partially backlogged at a negative exponential rate with the waiting time.The objective is to find the optimal replenishment cycle such that present value of total profit is maximized,for any given selling price.We then provide a simple algorithm to find the optimal selling price and replenishment schedule for the proposed model that can be easily implemented by practitioners.Comparisons of the present model with various cases are presented as the special case.Numerical examples are used to illustrate the theoretical results and the sensitivity analysis with respect to major parameters on the optimal solutions is also performed.展开更多
In this article, we consider a two level supply chain to evaluate the impact ofpostponement strategy on the retailer. Here the cost parameters are fuzzified.Signed distance method is used to defuzzify and to obtain th...In this article, we consider a two level supply chain to evaluate the impact ofpostponement strategy on the retailer. Here the cost parameters are fuzzified.Signed distance method is used to defuzzify and to obtain the estimation of thetotal cost in the fuzzy sense. The common variable production cost, commonfixed cost and the common unit holding cost per unit time are assumed to befuzzy in nature. Inventory models are formulated for postponement system andindependent system such that the total average inventory cost function per unittime is minimized. Algorithms are given to derive the optimal solutions of theproposed model. Theoretical analysis and the computational procedure helps tostudy the impact of deterioration rate on the optimal inventory policies. Acomparative study between the postponement system and independent systemconsidering fuzzy costs is also made.展开更多
文摘In this paper,a deterministic inventory model for non-instantaneous deteriorating items with price-and time-dependent demand with inflation is developed.The demand is continuous and differentiable function of price and time.Shortages are allowed and the unsatisfied demand is partially backlogged at a negative exponential rate with the waiting time.The objective is to find the optimal replenishment cycle such that present value of total profit is maximized,for any given selling price.We then provide a simple algorithm to find the optimal selling price and replenishment schedule for the proposed model that can be easily implemented by practitioners.Comparisons of the present model with various cases are presented as the special case.Numerical examples are used to illustrate the theoretical results and the sensitivity analysis with respect to major parameters on the optimal solutions is also performed.
文摘In this article, we consider a two level supply chain to evaluate the impact ofpostponement strategy on the retailer. Here the cost parameters are fuzzified.Signed distance method is used to defuzzify and to obtain the estimation of thetotal cost in the fuzzy sense. The common variable production cost, commonfixed cost and the common unit holding cost per unit time are assumed to befuzzy in nature. Inventory models are formulated for postponement system andindependent system such that the total average inventory cost function per unittime is minimized. Algorithms are given to derive the optimal solutions of theproposed model. Theoretical analysis and the computational procedure helps tostudy the impact of deterioration rate on the optimal inventory policies. Acomparative study between the postponement system and independent systemconsidering fuzzy costs is also made.
