Determination of Optimum Quantity Cost and Cycle Time Using Inventory Model with Stock Level Dependent Demand Rate And Variable Holding Cost
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Date
2013-06-18
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Abstract
This thesis seeks to address the problem of inventory management Mantrac Ghana Limited. The
objective of this study includes:
(a) To model Mantrac Ghana Limited’s inventory cost as Retroactive Holding
Cost problem.
(b) To determine optimal order quantity, reorder point and optimal total cost
of Mantrac Ghana Limited using Retroactive Holding Cost increase.
Inventory models in which the demand rate depends on the inventory level are based on the
common real-life observation that greater product availability tends to stimulate more sales.
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This thesis considers the inventory policy for an item with a stock-level dependent demand rate
and a storage-time dependent holding cost.
The holding cost per unit of the item per unit time is assumed to be an increasing function of the time spent in storage.
Two time-dependent holding cost step functions are mentioned: Retroactive holding cost
increase, and incremental holding cost increase. Procedures are developed for determining the
optimal order quantity and the optimal cycle time using Retroactive holding cost increase.
Description
A thesis submitted to the Institute of Distance Learning, Kwame Nkrumah University of Science and Technology in partial fulfilment of the requirement for the award of Master of Science degree in Industrial Mathematics, June-2013