Efficiency Evaluation of Geo/Geo/1 Queue Performance Measure with Priority using Fuzzy Data Envelopment Analysis

The queuing system is a system that consists of a set of customers, servers, and a regulation that regulates the arrival of customers and their services. Queues can be formed for various services. Customers can choose a queue based on the available queue length. Fuzzy logic and queuing theory are used to determine the fuzzy decisions made by service providers (servers) and people who need services (customers). Service providers make fuzzy decisions to manage queues. People who need services also make fuzzy decisions to choose from among the various available service queues. Discrete time fuzzy priority queues with partial buffer distribution are modeled and analyzed by prioritization, namely customers with high priority and customers with low priority. Various alternative options regarding priority coverage and buffer control provide output measures of performance from different queues and are expressed by fuzzy sets. To determine the efficiency of each alternative choice is solved using Fuzzy Data Envelopment Analysis (FDEA).