In this paper, we considered a deterministic inventory model with time-dependent demand and time-varying holding cost where deterioration is time proportional. The model considered here allows for shortages, and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example for the model. The model can be applied to optimize the total inventory cost for the business enterprises where both the holding cost and deterioration rate are time dependent.
In this work, we study the inventory replenishment policy over a fixed planning period for a deteriorating item having a deterministic demand pattern with a linear trend and shortages. The model is solved analytically by minimizing the total inventory cost. The model can be applied to optimize the total inventory cost for the business enterprises where both the holding cost and deterioration rate are constant.
Purpose: The purpose of this paper to develop an inventory model for instantaneous deteriorating items with the consideration of the facts that the deterioration rate can be controlled by using the preservation technology (PT) and the holding cost & demand rate both are linear function of time which was treated as constant in most of the deteriorating inventory model.
Design/methodology/approach: Developed the mathematical equation of deterministic deteriorating inventory model in which demand rate and holding cost both is linear function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged and obtain an analytical solution which optimizes the total cost of the proposed inventory model.
Findings: The model can be applied for optimizing the total inventory cost of deteriorating items inventory for such business enterprises where they use the preservation technology to control the deterioration rate under other assumptions of the model.
Originality/value: The inventory system for deteriorating items has been an object of study for a long time, but little is known about the effect of investing in reducing the rate of product deterioration and their significant impact in the business. The proposed model is effective as well as efficient for the business organization that uses the preservation technology to reduce the deterioration rate of the instantaneous deteriorating items of the inventory.
In this paper, a deterministic inventory model is developed for instantaneous deteriorating items in which shortages are allowed and partially backlogged. Deterioration rate is constant, demand rate is quadratic function of time and holding cost is linear function of time, backlogging rate is variable and depends on the length of the next replenishment. The model is solved analytically by minimizing the total inventory cost. This inventory model can also use as an inventory model for linear as well as constant demand rate by very small change in the incremental factor of the quadratic function. Numerical examples are provided to illustrate the solution and application of the model.
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