Production-inventory system with finite production rate, stock-dependent demand, and variable holding cost

@article{Alfares2014ProductioninventorySW,
  title={Production-inventory system with finite production rate, stock-dependent demand, and variable holding cost},
  author={Hesham K. Alfares},
  journal={RAIRO Oper. Res.},
  year={2014},
  volume={48},
  pages={135-150}
}
In general, traditional production-inventory systems are based on a number of simplifying – but somewhat unrealistic – assumptions, including constant demand rate, constant holding cost, and instantaneous order replenishment. These assumptions have been individually challenged in numerous variations of production-inventory models. Finite production rate models, such as economic production quantity (EPQ) systems consider gradual order replenishment. Stock-dependent demand models assume the… 

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References

SHOWING 1-10 OF 27 REFERENCES
Inventory model with stock-level dependent demand rate and variable holding cost
An extension of inventory models with discretely variable holding costs
Economic order quantity models with nonlinear holding costs
EOQ models with general demand and holding cost functions
A Deterministic Inventory System with an Inventory-Level-Dependent Demand Rate
This analysis is concerned with the continuous, deterministic case of an inventory system in which the demand rate of an item is of a polynomial functional form, dependent on the inventory level.
A two ware house inventory model for deteriorating items with stock dependent demand rate and holding cost
TLDR
Approximate optimal solution has been derived and some computational results indicating the effects of such non-linearity in holding cost have also been presented.
A perishable inventory model under stock-dependent selling rate and shortage-dependent partial backlogging with capacity constraint
TLDR
A deterministic inventory model for perishable items with stock-dependent selling rate is developed and a solution procedure is shown to find the optimal replenishment policy of the considered problem.
...
...