Fuzzy Assignment Model Of Server In Finite Source Queuing System

Abstract

To address the optimal number of servers for maintenance departments, this paper establishes a multi-objective optimization model for maintenance departments, in which triangular fuzzy numbers are employed to characterize the performance measurement of queuing system. Based on the previous model proposed by Khalili, the system is studied to determine most appropriate value for the size of workforce by using the concept of fuzzy relations and inference and fuzzy multiple objective decision making. The performance measurement of queuing system is characterized by triangular fuzzy numbers, which can capture the uncertainty of quenuing system. The decision-making index is determined by the expected utilization rate of servers, the expected degree of acceptability and maintenance-related cost. An example is employed to illustrate the effectiveness and applicability, and the sensitivity analysis is also explored.