https://cyberleninka.org/article/n/662470.pdf

Literature review of deteriorating inventory models by key topics from 2012 to 2015

Inventory and pricing model with price-dependent demand, time-varying holding cost, and quantity discounts

https://iris.unipa.it/bitstream/10447/96635/1/Economic%20benefits%20from%20food%20recovery%20at%20the%20retail%20stage.pdf

Economic benefits from food recovery at the retail stage: An application to Italian food chains

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.

/pdf/an-inventory-model-for-deteriorating-items-with-time-28oiks3mrv.pdf

An inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging

In this paper, a deterministic inventory control model with deterioration is developed. Here, the deterioration rate follows stochastic deterioration, especially Weibull distribution deterioration. A time-dependent demand approach is introduced to show the applicability of our proposed model and to be up-to-date with respect to time. The main purpose of the paper is to investigate the optimal retailer’s replenishment decisions for deteriorating items including time-dependent demand for demonstrating more practical circumstances within economic-order quantity frameworks. Keeping in mind the criterion of modern era, we consider that the holding cost is totally dependent on time, and shortages are allowed for this model. Subject to the formulated model, we minimize the total inventory cost. The mathematical model is explored by numerical examples to validate the proposed model. A sensitivity analysis of the optimal solution with regard to important parameters is also carried out to elaborate the quality, e.g., stability, of our result and to possibly modify our model. The paper ends with a conclusion and an outlook to future studies.

Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration

In most of the deteriorating items inventory model the holding cost and demand rate has considered as a constant function. But in realistic situation these cost varying according to time. So in this paper, we developed a 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. The model is solved analytically by minimizing the total inventory cost. The model is tested for a set of parameter and results indicate that the model is quite stable. The model can be applied for optimizing the total inventory cost of deteriorating items inventory for a business enterprise where demand and holding cost both is linear function of time.

Deteriorating inventory model for time dependent demand and holding cost with partial backlogging

In this paper, a deterministic inventory model is developed for deteriorating items in which shortages are allowed and salvage value is incorporated to deteriorated item. Demand rate is ramp type function and deterioration rate is time dependent with weibull’s distribution. The model is solved analytically by minimizing the total inventory cost.

Inventory model for ramp type demand, time dependent deteriorating items with salvage value and shortages

The production disruption is a natural phenomenon of a business enterprise in the current era of life. The optimal production time play a crucial role for smooth functioning and optimizing the profit of a manufacturing industry. So in this paper, we consider the fact that the storage item is deteriorated during normal and disrupted production periods and developed a production inventory model for time dependent deteriorating items with production disruption in which shortages are not allowed and demand rate is deterministic and constant. The model is solved analytically to determine the optimal production time during normal and disrupted production periods. The solution and application of the model is illustrated with the help of a numerical example.

Production inventory model for time dependent deteriorating items with production disruptions

This paper consider the problem of finding optimal critical levels for an inventory system for multiitem with multiple demand classes, Poisson demand process, lost sales and ample supply. The ordering policy is assumed to be the ( 1, ) SS - type i.e. replacement item is ordered as soon as a unit of stock is used and

Lal Sahab Singh

Papers

An inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging

Deteriorating inventory model for time dependent demand and holding cost with partial backlogging

Inventory model for ramp type demand, time dependent deteriorating items with salvage value and shortages

Production inventory model for time dependent deteriorating items with production disruptions

Generalization of cost optimization in (S-1, S) lost sales inventory model