An exhaustive Lévy storage process with intermittent output

Communications in Statistics. Part C: Stochastic Models

Volumn 14, Issue 4, 1998, Pages 979-992

  Kella, Offer ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Clearing process; Decomposition; Intermittent service; L vy process; Removable server; Service interruptions; Vacations

Indexed keywords

EID: 0001238969     PISSN: 08820287     EISSN: None     Source Type: Journal    
DOI: 10.1080/15326349808807509     Document Type: Article

References (30)

1. Altman E. and P. Nain. 1993. Optimal control of an M/G/1 queue with vacations. IEEE Automatic Control 38 1766-1775.
2. Balachandran, K. R. and H. Tijms. 1975. On the D-policy for the M/G/1 queue. Mgmt. Sci. 21 1073-1076.
3. Balachandran, K. R. 1973. Control policies for a single server system. Mgmt. Sci. 19 1013-1018.
4. Bell, C. 1971. Characterization and computation of optimal policies for operating an M/G/1 queueing system with removable server. Oper. Res. 19 208-218.
5. Boxma, O. J. 1976. Note on a control problem of Balachandran and Tijms. Mgmt. Sci. 22 916-917.
6. Denardo, E. V., Feinberg, E. A. and O. Kella. 1997. Stochastic monotonicity for stationary recurrence times of first passage heights. Ann. Appl. Prob. 7(2), to appear.
7. Doshi, B. T. 1986. Queueing systems with vacations - a survey. Queueing Systems 1 29-66.
8. Doshi, B. T. 1990. Single server queues with vacations. In Stochastic Analysis of Computer and Communication Systems, Takagi, H. (ed.), 217-266, North-Holland, Amsterdam.
9. Federgruen, A. and K. C. So. 1991. Optimality of threshold policies in single server queueing systems with server vacations. Adv. Appl. Prob. 23 388-405.
10. Feinberg, E. A. and D. J. Kim. 1994. Optimal switching policies for M/G/1 queues with two performance criteria. In Operations Research Proceedings 1994 (U. Derigs et al. eds), Springer-Verlag, Berlin, 227-232.
11. Fuhrmann, S. and R. B. Cooper. 1985. Stochastic decompositions in an M/G/1 queue with generalized vacations. Oper. Res. 33 1117-1129.
12. Heyman, D. P. 1968. Optimal Operating Policies for M/G/1 queueing systems. Oper. Res. 16 362-383.
13. Hofri, M. 1986. Queueing systems with a procrastinating server. Performance 86 and ACM Sigmetrics 1986, Proc. Joint. Conf. Computer Performance Modeling, Measurement and Evaluation, Raleigh, NC. 245-253.
14. Kella, O. 1989. The threshold policy in the M/G/1 queue with server vacations. Nav. Res. Log. 36 111-123.
15. Kella, O. 1990. Optimal control of the vacation scheme in an M/G/1 queue. Oper. Res. 38 724-728.
16. Kella, O. and M. I. Taksar. 1994. A heavy traffic limit for the cycle counting process in G/G/1, optional interruptions and elastic screen Brownian motion. Math. Oper. Res. 19 132-151.
17. Kella, O. and W. Whitt. 1990. Diffusion approximations for queues with server vacations.Adv. Appl. Prob. 22 706-729.
18. Kella, O. and W. Whitt. 1991. Queues with server vacations and Lévy processes with secondary jump input. Ann. Appl. Prob. 1 104-117.
19. Kella, O. and W. Whitt. 1992. Useful martingales for stochastic storage processes with Lévy input. J. Appl. Prob. 29 396-403.
20. Lee, H. S. and M. Srinivasan. 1989. Control policies for the M/G/1 queueing system. Mgmt. Sci. 35 708-721.
21. Serfozo, R. F. and S. Stidham, Jr. 1978. Semistationary clearing processes. Stoch. Proc. Appl. 6 165-178.
22. Shanthikumar, J. G. and U. Sumita. 1989. Modified lindley process with replacement: dynamic behavior, asymptotic decomposition and applications. J. Appl. Prob. 26 552-565.
23. Sobel, M. J. 1969. Optimal average cost policy for a queue with start-up and shut-down costs. Oper. Res. 17 145-162.
24. Stidham, S., Jr. 1974. Stochastic clearing systems. Stock. Proc. Appl. 2 85-113.
25. Stidham, S., Jr. 1977. Cost models for stochastic clearing systems. Oper. Res. 25 100-127.
26. Takagi, H. 1991. Queueing Analysis, Foundation of Performance Evaluation, Vol 1: Vacation and Priority Systems, Part 1, North-Holland, Amsterdam.
27. Teghem, J., Jr. 1986. Control of the service process in a queueing system. Eur. J. Oper. Res. 23 141-158.
28. Tijms, H. 1976. Optimal control of the workload in an M/G/1 queueing system with removable server. Math. Operationsforsch u. Statist. 7 933-943.
29. Whitt, W. 1981. The stationary distribution of a stochastic clearing process. Oper. Res. 29 294-308.
30. Yadin, M. and P. Naor. 1963. Queueing systems with a removable service station. Oper. Res. Quart. 14 393-405.