Fuzzy Markovian decision processes: Application to queueing systems

Authors:
María José Pardo;David de la Fuente
Affiliations:
Department of Applied Economic IV, University of the Basque Country, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain;Department of Business Administration, University of Oviedo, Campus de Viesques s/n, 33204 Gijón, Spain
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 5
Cited 1

Markov Decision Processes: Discrete Stochastic Dynamic Programming

Markov Decision Processes: Discrete Stochastic Dynamic Programming
Fuzzy Sets and Systems: Theory and Applications

Fuzzy Sets and Systems: Theory and Applications
Reachability analysis of uncertain systems using bounded-parameter Markov decision processes

Artificial Intelligence
Exact finite approximations of average-cost countable Markov decision processes

Automatica (Journal of IFAC)
Design of a fuzzy finite capacity queuing model based on the degree of customer satisfaction: Analysis and fuzzy optimization

Fuzzy Sets and Systems

Extension of fuzzy logic operators defined on bounded lattices via retractions

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this paper, we calculate the best policy to be implemented regarding publicity decisions in a queueing system by using Markovian decision processes with fuzzy states. To this end, first we have defined the theory linking Markov chains with non-fuzzy states with Markov chains with fuzzy states, and we have calculated the Markov chain probabilities with fuzzy states using the conditional probability of the fuzzy event A@?"j given the fuzzy event A@?"i. Next, we illustrate by an example the theoretical results previously obtained. In the example, we apply the linear programming solution to the Markovian decision processes.