A nonpreemptive priority system with fuzzy parameters

作     者：Huang, Hsin-I Lin, Chuen-Horng Ke, Jau-Chuan 

作者机构：Department of Computer Science and Information Engineering National Taichung Institute of Technology 404 Taiwan Department of Information Management National Taichung Institute of Technology 404 Taiwan Department of Applied Statistics National Taichung Institute of Technology 404 Taiwan 

出 版 物：《American Journal of Mathematical and Management Sciences》 (Am J Math Manage Sci)

年 卷 期：2008年第28卷第1-2期

页      面：155-175页

学科分类：0202[经济学-应用经济学] 1202[管理学-工商管理] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Fuzzy sets Membership function Nonlinear programming Priority 

摘      要：The nonpreemptive priority queues are effective for performance evaluations of production/manufacturing systems, inventory control and computer and telecommunication systems. Due to uncontrollable factors, parameters in the nonpreemptive priority queues may be fuzzy. This work constructs the membership functions of the system characteristics of a nonpreemptive priority queueing system with J type jobs, in which the arrival rate and service rate for jobs are all fuzzy numbers. The α-cut approach is used to transform a fuzzy queue into a family of conventional crisp (distinct) queues in this context. By means of the membership functions of the system characteristics, a set of parametric nonlinear programs is developed to describe the family of crisp queues with nonpreemptive priority. A numerical example is solved successfully to illustrate the validity of the proposed approach. Because the system characteristics are expressed and governed by the membership functions, the fuzzy nonpreemptive priority queues are represented more accurately and the analytic results are more useful for system designers and practitioners. © 2008, Taylor & Francis Group, LLC. All rights reserved.