Optimal control of a removable and non-reliable server in an M/M/1 queueing system with exponential startup time

Mathematical Methods of Operations Research

Volumn 58, Issue 1, 2003, Pages 29-39

  Wang, Kuo Hsiung ^a  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

Author keywords

Cost; Queue; Server breakdown; Startup time

Indexed keywords

COSTS; DECISION MAKING; FUNCTIONS; INTEGER PROGRAMMING; MATHEMATICAL MODELS; PARAMETER ESTIMATION; POISSON EQUATION; RANDOM PROCESSES; SERVERS;

QUEUEING SYSTEMS; QUEUES; SERVER BREAKDOWN; STARTUP TIME;

QUEUEING THEORY;

EID: 17444428450     PISSN: 14322994     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001860300275     Document Type: Article

References (14)

1. Yadin M, Naor P (1963) Queueing systems with a removable service station. Operational Research Quarterly 14:393-405
2. Baker KR (1973) A note on operating policies for the queue M/M/1 with exponential startups. INFOR 11:71-72
3. k/1 queueing system with a removable service station. Journal of the Operational Research Society 46:1014-1022
4. k/1 queueing system with finite capacity. Microelectronics and Reliability 35:1023-1030
5. Bell CE (1971) Characterization and computation of optimal policies for operating an M/G/1 queueing system with removable server. Operations Research 19:208-218
6. Heyman DP (1968) Optimal operating policies for M/G/1 queueing system. Operations Research 16:362-382
7. Teghem Jr (1987) Optimal control of a removable server in an M/G/1 queue with finite capacity. European Journal of Operational Research 31:358-367
8. Wang K-H, Ke J-C (2000) A recursive method to the Optimal control of an M/G/1 queueing system with finite capacity and infinite capacity. Applied Mathematical Modelling 24:899-914
9. Ke J-C, Wang K-H (2002) A recursive method to the N policy G/M/1 queueing system with finite capacity. European Journal of Operational Research 142:577-594
10. Borthakur A, Medhi J, Gohain R (1987) Poisson input queueing system with startup time and under control-operating policy. Computers and Operations Research 14:33-40
11. Medhi J, Templeton JGC (1992) A Poisson input queue under N-policy and with a general start up time. Computers and Operations Research 19:35-41
12. Wang K-H (1995) Optimal operation of a Markovian queueing system with a removable and non-reliable server. Microelectronics and Reliability 35:1131-1136
13. k/1 queueing system with removable service station subject to breakdowns. Journal of the Operational Research Society 48:936-942
14. 2/1 queueing system. Applied Mathematical Modelling 23:651-666