Türkiye'deki Matematiksel Etkinlikler
20 Kasım 2014, 17:00 ![]() İstanbul Matematiksel Bilimler Merkezi SeminerleriOn the end of life problem in inventory control Hans Frenk
We consider an inventory problem of controlling the inventory of spare parts in the
final phase of the service life cycle. The final phase starts when the production of a
product is terminated and it continues until the last service contract or warranty period
expires. Placing final orders for service parts at the end of the production cycle of a
product is considered to be a popular tactic to satisfy demand during this period and
to mitigate the effect of part obsolescence at the end of the service life cycle. Previous
research focuses on repairing defective products by replacing the defective parts with
properly functioning spare ones. However, for most of the inventory problems with
the product in a no production phase there is typically a price erosion for the new
type of product presently in production while repair cost for a defective product of
a previous generation stays steady over time. As a consequence, there might be a
point in time at which the unit price of a new generation product drops below the
repair costs. If so, it is more cost effective to adopt an alternative policy to meet
service demands toward the end of the final phase, such as offering customers the new
product of a similar type or a discount on a next generation product. As an example
we mention the handling of old generation iPhones after the introduction of a new
type of iPhone. This study examines the cost trade-offs of implementing alternative
policies for the repair policy and develops an exact expression for the expected total
cost function under the assumption that the arrival process of demands for repairing
defective products of an old type is given by a nonhomogeneous Poisson process with
a given arrival rate function. This problem is know as the end of life problem and to
derive this expression under very general cost assumptions we use well known results
from martingale theory. As such this talk focuses on ongoing research and the use of
more sophisticated techniques well known within the theory of stochastic processes
contrary to the Markovian techniques used within inventory theory.
Olasılık Teorisi İngilizce IMBM Seminar Room, Bogazici University South Campus admin 20.03.2020 |
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31. Journees Arithmetiques Konferansı Organizasyon Komitesi
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