Optimal Control of Customers to the Service Facility with Two Types of Customers

C.Selvakumar; P.Maheswari; C.Elango

doi:https://doi.org/10.14445/22315373/IJMTT-V57P542

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 5 | Year 2018 | Article Id. IJMTT-V57P542 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P542

Optimal Control of Customers to the Service Facility with Two Types of Customers

C.Selvakumar, P.Maheswari, C.Elango

Citation :

C.Selvakumar, P.Maheswari, C.Elango, "Optimal Control of Customers to the Service Facility with Two Types of Customers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 5, pp. 303-309, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P542

Abstract

In this article, we considered a discrete-time service facility system, viewed as a Markov Decision Process(MDP). Decisions are taken at discrete time epochs to control admissions to the system. Here the queue before the server is divided into eligible queue and potential queue. Potential queue has two types of customers (Priority and non-priority). It is assumed that demands arrived throughout the period but they are satisfied only at the end of the period. The MDP based on average cost criteria is used to find the optimal policy to be implemented for the system. Numerical example is provided to illustrate the problem.

Keywords

Markov Decision Processes, Admission Control, Discrete time Service Facility System, Two types of customers, Average Cost Criteria.

References

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