Maintenance support systems analysis based on M/M/c/k queue model

Author

Sun Bao-chen ; Wang Ya-bin ; Dong Ze-wei ; Cai Li-ying

Author_Institution

Dept. of Equip. Command & Manage., Ordnance Eng. Coll., Shijiazhuang, China

Volume

11

fYear

2010

fDate

22-24 Oct. 2010

Abstract

This paper describes maintenance support as M/M/m/k queue process, of which the damaged equipment-arrival is subordinate to the independent Poisson distribution, and the maintenance-time the exponential distribution. The arrival rate of system and the maintenance rate may change along with the number of damaged equipments in the system, and the important damaged equipments have the preemptive priority and exponential impatience when waiting for repairing. The paper sets up maintenance support M/M/m/k queue model and lists state equations based on maintenance support system structure and size. The queue length distribution in stationary state and performance measures are gained by using the method of matrix analysis.

Keywords

Poisson distribution; exponential distribution; maintenance engineering; Poisson distribution; exponential distribution; maintenance support systems analysis; matrix analysis; queue length distribution; queue model; Computational modeling; Equations; Exponential distribution; Maintenance engineering; Mathematical model; Queueing analysis; maintenance support system; preemptive priority; queue model; steady state distribution;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Application and System Modeling (ICCASM), 2010 International Conference on

Conference_Location

Taiyuan

Print_ISBN

978-1-4244-7235-2

Electronic_ISBN

978-1-4244-7237-6

Type

conf

DOI

10.1109/ICCASM.2010.5623212

Filename

5623212