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

  title={Production-inventory system with finite production rate, stock-dependent demand, and variable holding cost},
  author={Hesham K. Alfares},
  journal={RAIRO Oper. Res.},
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… 

Figures from this paper

Inventory Policies for Price-Sensitive Stock-Dependent Demand and Quantity Discounts
  • N. Shah, Monika K. Naik
  • Business
    International Journal of Mathematical, Engineering and Management Sciences
  • 2018
It was usually observed in typical EOQ inventory models that the holding cost, the purchasing cost and the demand rate are constant and the purchasing cost is irrespective of the order size. But
EOQ and EPQ Production-Inventory Models with Variable Holding Cost: State-of-the-Art Review
In production-inventory control, economic order quantity (EOQ) and economic production quantity (EPQ) models are used to determine the optimal order quantities for purchasing and manufacturing. Most
Cost Minimization Policy for Manufacturer in a Supply Chain Management System with Two Rates of Production under Inflationary Condition
The manufacturer starts manufacturing the items at a lower rate to avoid a huge investment at the initial stage and to reduce the holding cost of the products, and switches on to a higher rate of production when the stock level reaches a prefixed level to avoid shortage caused by an insufficient stock of the items.
Model Predictive Control of a Forecasting Production System with Deteriorating Items
Using a model predictive control approach, the authors obtain the optimal production rate, the ideal inventory level, the optimal demand rate, and the optimal objective function value, explicitly in terms of the system parameters.
An exponential economic piece-wise inventory mathematical model for demand-dependent productions with partial back-ordering
Abstract The anticipated article explains a most favorable ordering strategy for unpreserved items in the perspective of price and time-dependent exponential demand with partial back ordering
Inventory models for joint pricing and greening effort decisions with discounts
Purpose This paper aims to develop efficient decision support tools for a firm’s environment protection by using greening effort while yet improving profitability by utilizing pricing and
A Revision on Cost Elements of the EOQ Model
Abstract The overall objective of this paper is to investigate the fundamental cost elements of the traditional EOQ model and develop the model by expiring some of its unrealistic assumptions. Over
Analysing the solution of production-inventory optimal control systems by neural networks
A general production- Inventory optimal control system is proposed which can be used in most cases that might arise in the theory of production-inventory control and is approximately solved using neural networks.
Assessment of the Potential Economic Impact of the Use of AM Technologies in the Cost Levels of Manufacturing and Stocking of Spare Part Products
The present work analyses the fundamental cost factors in a real case study of a company dedicated to the supply of spare parts for fluid conduction systems to explore the potential economic impact of the use of AM technologies in the cost levels of manufacturing and stocking of spare part products.
Triangular Neutrosophic Based Production Reliability Model of Deteriorating Item with Ramp Type Demand under Shortages and Time Discounting
An economic production quantity model with triangular neutrosophic environment has been developed for deteriorating items with ramp type demand rate and reliability dependent unitproduction. The main


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
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
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.