Title :
Admission control of an M/M/1 queue with multiple deterioration states
Author_Institution :
Dept. of Ind. Eng. & Manage., Yunlin Univ. of Sci. & Technol., Yunlin, Taiwan
Abstract :
Properly controlled arrival process via accepting or rejecting arrivals can effectively reduce system congestion level. This paper finds the optimal admission control policy of an M/M/1 queue which is susceptible to a cumulative shock failure process. Assuming that the server is minimally repaired when it fails and can be preventively maintained at the end of each busy period, the optimal admission policy of this unreliable queue is proved to be of control-limit-type and the optimal admission control limit is such that the controller rejects more arrival when the state of the server deteriorates more.
Keywords :
Markov processes; preventive maintenance; queueing theory; scheduling; M/M/1 queue; Markov decision processes; arrival process; control-limit-type; cumulative shock failure process; multiple deterioration states; optimal admission control limit; optimal admission control policy; optimal admission policy; system congestion level; Admission control; Electric shock; Manganese; Markov processes; Preventive maintenance; Servers; Admission Control; Markov Decision Processes;
Conference_Titel :
Industrial Engineering and Engineering Management (IEEM), 2010 IEEE International Conference on
Conference_Location :
Macao
Print_ISBN :
978-1-4244-8501-7
Electronic_ISBN :
2157-3611
DOI :
10.1109/IEEM.2010.5674190