Open Access Open Access  Restricted Access Subscription or Fee Access

Optimal Control of Periodic-review Inventory Production Systems with Weibull Deteriorating Items

Md. Azizul Baten, Ruzelan Khalid, Mohd. Kamal Mohd. Nawawi

Abstract


The paper studies of inventory-production systems with two-parameter Weibull distributed deterioration items. The objective of this paper is to determine the optimal production rates and inventory levels that minimize the total cost for the inventory production model. The optimal control theory is applied to solve the developed inventory-production model with Weibull deteriorating items. The solution of the optimal inventory production control model is carried out using the Pontrygin maximum principle. The Lagrangian technique is also used to solve the periodic-review optimal inventory-production model. Finally the numerical examples of the optimal inventory control policy are illustrated through simulation in case of both finite and infinite horizon cases.

Keywords


Inventory systems; Optimal control; Weibull deteriorating items; Pontryagin maximum principle; Lagrange multiplier method; Simulation.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.