Optimal policy for an inventory system with power demand, backlogged shortages and production rate proportional to demand rate

This article analyzes an inventory system for items with time-varying demand. The way by which demand occurs during the inventory cycle follows a power demand pattern. The production of items allows to add stock in the inventory during a replenishment period. The production rate is proportional to d...

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Veröffentlicht in:International journal of production economics 2014-09, Vol.155, p.163-171
Hauptverfasser: Sicilia, Joaquín, González-De-la-Rosa, Manuel, Febles-Acosta, Jaime, Alcaide-López-de-Pablo, David
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container_start_page 163
container_title International journal of production economics
container_volume 155
creator Sicilia, Joaquín
González-De-la-Rosa, Manuel
Febles-Acosta, Jaime
Alcaide-López-de-Pablo, David
description This article analyzes an inventory system for items with time-varying demand. The way by which demand occurs during the inventory cycle follows a power demand pattern. The production of items allows to add stock in the inventory during a replenishment period. The production rate is proportional to demand rate. Shortages are allowed and completely backlogged. Holding cost, shortage cost and order cost are the costs considered in the inventory model. The aim consists of the minimization of the total cost per inventory cycle. An efficient approach is developed to obtain the optimal scheduling period and the optimal reorder point. In addition, the economic lot size and the minimum cost of the inventory management is determined. Some numerical examples are presented for illustrating the proposed inventory model.
doi_str_mv 10.1016/j.ijpe.2013.11.020
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subjects Backlogged shortages
Demand
Inventory
Inventory management
Inventory systems
Mathematical models
Power demand pattern
Production capacity
Production rate
Shortages
Studies
title Optimal policy for an inventory system with power demand, backlogged shortages and production rate proportional to demand rate
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