Application of N-Period Dynamic Inventory Model with Deterministic and Probabilistic Demand

Mitkovska-Trendova, Katerina and Minovski, Robert (2009) Application of N-Period Dynamic Inventory Model with Deterministic and Probabilistic Demand. In: Fulbright Academy of Science & Technology 4th Annual Conference, Small Places Can Change the World, 24-27 March 2009, Skopje, Macedonia. (Unpublished)

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Abstract

The private sector, driven by a global competitive environment, faces the challenge of
improving services, while lowering costs. Many companies have adopted innovative
business practices, to meet customer needs and retain profitability. That is why the
enterprise restructuring is becoming very important. In this article we briefly present a
methodology for systematic and efficient approach concerning the enterprise
restructuring, called COMPASS, which offers aid in the key decision making points.
At the initial development phase of COMPASS the generation of the success factors
is done heuristcally, but it is continually upgraded in order to improve its usability. It
is an open methodology that allows implementation of various additional
methods/tools that are scientifically funded, but yet understandable and easy to use.
This methods are going to help the generation of more reliable success factors.
One of the objectives is to concentrate on the development of the inventory problem
itself, because of its practical and economic importance. Inventories are expensive
and very important asset to many companies. The subject of inventory control and
planning is considered in many situations. The fundamental decisions in inventory
controlling concerning the inventory policy are amenable to quantitative analysis
associated with the inventory theory as collection of management science methods.
The problem of making the optimal decisions regarding the inventory policy can not
be solved as a unique inventory model. There are many relevant factors in an
inventory model design, hence the development of a number of inventory models. The
type of demand is a principle factor. In that direction, description and comparision of
different existing mathematical inventory models are carried out. Also they will be
illustrated and compared on practical examples. Besides the introduction of the small
segment of the inventory theory, the introduction of other operations research
methods such as dynamic programming and Markov decision processes in this models
is inevitable. The reason is that a numerical solution of these models requires the use
of the dynamic programming technique, and the probabilistic model is a stochastic
decission process where the transition probabilities between the states are described
by a Markov chain. The finite number of periods is not a serious limitation, since it is
not practical to assume that the item will be held in stock indefinitely. The objective is
to find the optimal inventory policy and to determine the utility function (value
function). This utility function helps to determine minimum total expected cost. One
of the advantages of this theory is that besides the mathematical background, one can
use these models in real life inventory policy determination, since the calculations for
the optimal policy determination and the utility function value can be obtained easily
using computer programs.

Item Type: Conference or Workshop Item (Speech)
Subjects: Engineering and Technology > Mechanical engineering
Divisions: Military Academy
Depositing User: Katerina Trendova
Date Deposited: 04 Feb 2015 09:44
Last Modified: 04 Feb 2015 09:44
URI: https://eprints.ugd.edu.mk/id/eprint/12305

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