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Volumn 33, Issue 6, 2009, Pages 2699-2709

An M/G/1 queue with two phases of service subject to the server breakdown and delayed repair

Author keywords

60 K 25 (Primary); 90 B 22 (Secondary); Delay time; Random breakdown; Repair time; Second optional service and reliability; Stationary queue size distribution

Indexed keywords

FOURIER TRANSFORMS; FUNCTION EVALUATION; PROBABILITY DISTRIBUTIONS; PUMPS; RELIABILITY; REPAIR; SIZE DISTRIBUTION; SUBSIDENCE;

EID: 60249094955     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2008.08.006     Document Type: Article
Times cited : (79)

References (46)
  • 1
    • 0034343563 scopus 로고    scopus 로고
    • An M/G/1 queue with second optional service
    • Madan K.C. An M/G/1 queue with second optional service. Queue. Syst. 34 (2000) 37-46
    • (2000) Queue. Syst. , vol.34 , pp. 37-46
    • Madan, K.C.1
  • 2
    • 0036395248 scopus 로고    scopus 로고
    • A single server poisson input queue with a second optional channel
    • Medhi J. A single server poisson input queue with a second optional channel. Queue. Syst. 42 (2002) 239-242
    • (2002) Queue. Syst. , vol.42 , pp. 239-242
    • Medhi, J.1
  • 3
    • 14744268851 scopus 로고    scopus 로고
    • Some aspects of an M/G/1 queueing system with optional second service
    • Choudhury G. Some aspects of an M/G/1 queueing system with optional second service. TOP 11 1 (2003) 141-150
    • (2003) TOP , vol.11 , Issue.1 , pp. 141-150
    • Choudhury, G.1
  • 4
    • 0038540396 scopus 로고    scopus 로고
    • A batch arrival queueing system with an additional service channel
    • Choudhury G. A batch arrival queueing system with an additional service channel. Int. J. Inform. Manage. Sci. 14 2 (2003) 17-30
    • (2003) Int. J. Inform. Manage. Sci. , vol.14 , Issue.2 , pp. 17-30
    • Choudhury, G.1
  • 5
    • 14744275349 scopus 로고    scopus 로고
    • A two phase queueing system with Bernoulli feedback
    • Choudhury G., and Paul M. A two phase queueing system with Bernoulli feedback. Int. J. Inform. Manage. Sci. 16 1 (2005) 35-52
    • (2005) Int. J. Inform. Manage. Sci. , vol.16 , Issue.1 , pp. 35-52
    • Choudhury, G.1    Paul, M.2
  • 6
    • 0035295336 scopus 로고    scopus 로고
    • An M/G/1/1 feedback queue with regular and optional services
    • Krishnakumar B., and Arivudainambi D. An M/G/1/1 feedback queue with regular and optional services. Int. J. Inform. Manage. Sci. 12 1 (2001) 67-73
    • (2001) Int. J. Inform. Manage. Sci. , vol.12 , Issue.1 , pp. 67-73
    • Krishnakumar, B.1    Arivudainambi, D.2
  • 7
    • 0036606090 scopus 로고    scopus 로고
    • AnM/G/1 queue with unreliable server and no waiting capacity
    • Krishnakumar B., and Arivudainambi D. AnM/G/1 queue with unreliable server and no waiting capacity. Int. J. Inform. Manage. Sci. 13 2 (2002) 35-50
    • (2002) Int. J. Inform. Manage. Sci. , vol.13 , Issue.2 , pp. 35-50
    • Krishnakumar, B.1    Arivudainambi, D.2
  • 8
    • 9644279664 scopus 로고    scopus 로고
    • An M/G/1 queue with second optional service and server breakdowns
    • Wang J. An M/G/1 queue with second optional service and server breakdowns. Comput. Mathemat. Appl. 47 (2004) 1713-1723
    • (2004) Comput. Mathemat. Appl. , vol.47 , pp. 1713-1723
    • Wang, J.1
  • 9
    • 37249049356 scopus 로고    scopus 로고
    • X/G/1 system with startup server and J additional options for service
    • X/G/1 system with startup server and J additional options for service. Appl. Mathemat. Model. 32 (2008) 443-458
    • (2008) Appl. Mathemat. Model. , vol.32 , pp. 443-458
    • Ke, J.C.1
  • 11
    • 0037082918 scopus 로고    scopus 로고
    • Lattice path approach to transient analysis of M/G/1/N non-Markovian queues using Cox distribution
    • Sen K. Lattice path approach to transient analysis of M/G/1/N non-Markovian queues using Cox distribution. J. Statist. Plan. Infer. 101 (2002) 133-147
    • (2002) J. Statist. Plan. Infer. , vol.101 , pp. 133-147
    • Sen, K.1
  • 12
    • 0037082920 scopus 로고    scopus 로고
    • Distribution of number served during a busy period of GI/M/1/N queues-lattice path approach
    • Agarwal M. Distribution of number served during a busy period of GI/M/1/N queues-lattice path approach. J. Statist. Plan. Infer. 101 (2002) 7-21
    • (2002) J. Statist. Plan. Infer. , vol.101 , pp. 7-21
    • Agarwal, M.1
  • 13
    • 0010598342 scopus 로고
    • Analysis of a two phase queueing system with generalized service time
    • Doshi B.T. Analysis of a two phase queueing system with generalized service time. Oper. Res. Lett. 10 (1990) 265-272
    • (1990) Oper. Res. Lett. , vol.10 , pp. 265-272
    • Doshi, B.T.1
  • 14
    • 50049083111 scopus 로고
    • A study of two phase queueing system
    • Krishna C.M., and Lee Y.H. A study of two phase queueing system. Oper. Res. Lett. 9 (1990) 202-211
    • (1990) Oper. Res. Lett. , vol.9 , pp. 202-211
    • Krishna, C.M.1    Lee, Y.H.2
  • 15
    • 0344580006 scopus 로고
    • A two phase queueing system with servers vacations
    • Selvam D.D., and Sivasankaran V. A two phase queueing system with servers vacations. Oper. Res. Lett. 15 (1994) 163-168
    • (1994) Oper. Res. Lett. , vol.15 , pp. 163-168
    • Selvam, D.D.1    Sivasankaran, V.2
  • 16
    • 30344437397 scopus 로고    scopus 로고
    • Optimal management policy for heterogeneous arrival queueing system with server breakdowns and vacations
    • Ke J.C., and Pearn W.L. Optimal management policy for heterogeneous arrival queueing system with server breakdowns and vacations. Qual. Technol. Quant. Manage. 1 (2004) 149-162
    • (2004) Qual. Technol. Quant. Manage. , vol.1 , pp. 149-162
    • Ke, J.C.1    Pearn, W.L.2
  • 17
    • 0002542536 scopus 로고
    • A waiting line with interrupted service including priorities
    • Gaver D.P. A waiting line with interrupted service including priorities. J. R. Statist. Soc., Ser-B 24 (1962) 73-90
    • (1962) J. R. Statist. Soc., Ser-B , vol.24 , pp. 73-90
    • Gaver, D.P.1
  • 18
    • 0008727276 scopus 로고
    • Some queueing problems with the service station subject to breakdowns
    • Avi-ltzhak B., and Naor P. Some queueing problems with the service station subject to breakdowns. Oper. Res. 11 (1963) 303-320
    • (1963) Oper. Res. , vol.11 , pp. 303-320
    • Avi-ltzhak, B.1    Naor, P.2
  • 19
    • 0007237807 scopus 로고
    • Queueing with breakdowns
    • Thirurengadan K. Queueing with breakdowns. Oper. Res. 11 (1963) 303-320
    • (1963) Oper. Res. , vol.11 , pp. 303-320
    • Thirurengadan, K.1
  • 20
    • 0001239965 scopus 로고
    • A many server queue with service interruptions
    • Mitrany I.L., and Avi-Itzhak B. A many server queue with service interruptions. Oper. Res. 16 (1968) 628-638
    • (1968) Oper. Res. , vol.16 , pp. 628-638
    • Mitrany, I.L.1    Avi-Itzhak, B.2
  • 21
    • 0031209451 scopus 로고    scopus 로고
    • Reliability approximation of a Markovian queueing system with server breakdown and repair
    • Li Q., Xu D., and Cao J. Reliability approximation of a Markovian queueing system with server breakdown and repair. Microelectron. Reliab. 37 (1997) 1203-1212
    • (1997) Microelectron. Reliab. , vol.37 , pp. 1203-1212
    • Li, Q.1    Xu, D.2    Cao, J.3
  • 22
    • 0031344707 scopus 로고    scopus 로고
    • Reliability analysis of M/G/1 queueing system with server breakdowns and vacations
    • Li W., Shi D., and Chao X. Reliability analysis of M/G/1 queueing system with server breakdowns and vacations. J. Appl. Probab. 34 (1997) 546-555
    • (1997) J. Appl. Probab. , vol.34 , pp. 546-555
    • Li, W.1    Shi, D.2    Chao, X.3
  • 23
    • 0025403718 scopus 로고
    • A queue with service interruptions in an alternating random environment
    • Sengupta B. A queue with service interruptions in an alternating random environment. Oper. Res. 38 (1990) 308-318
    • (1990) Oper. Res. , vol.38 , pp. 308-318
    • Sengupta, B.1
  • 24
    • 0031314563 scopus 로고    scopus 로고
    • A single server queue with service interruptions
    • Takine T., and Sengupta B. A single server queue with service interruptions. Queue. Syst. 26 (1998) 285-300
    • (1998) Queue. Syst. , vol.26 , pp. 285-300
    • Takine, T.1    Sengupta, B.2
  • 25
    • 0031077520 scopus 로고    scopus 로고
    • A single server M/G/1 queueing system subject to breakdowns - Some reliability and queueing problems
    • Tang Y. A single server M/G/1 queueing system subject to breakdowns - Some reliability and queueing problems. Microelectron. Reliab. 37 (1997) 315-321
    • (1997) Microelectron. Reliab. , vol.37 , pp. 315-321
    • Tang, Y.1
  • 26
    • 0024940523 scopus 로고
    • A single channel queue with bulk service subject to interruptions
    • Madan K.C. A single channel queue with bulk service subject to interruptions. Microelectron. Reliab. 29 5 (1989) 813-818
    • (1989) Microelectron. Reliab. , vol.29 , Issue.5 , pp. 813-818
    • Madan, K.C.1
  • 27
    • 60249098609 scopus 로고    scopus 로고
    • An M/G/1 queue with time homogeneous breakdown and deterministic repair times
    • Madan K.C. An M/G/1 queue with time homogeneous breakdown and deterministic repair times. Soochow J. Mathemat. 29 (2003) 103-110
    • (2003) Soochow J. Mathemat. , vol.29 , pp. 103-110
    • Madan, K.C.1
  • 28
    • 33846611033 scopus 로고    scopus 로고
    • Batch arrival queues under vacation policies with server breakdowns and startup/closedown times
    • Ke J.C. Batch arrival queues under vacation policies with server breakdowns and startup/closedown times. Appl. Mathemat. Model. 31 7 (2007) 1282-1292
    • (2007) Appl. Mathemat. Model. , vol.31 , Issue.7 , pp. 1282-1292
    • Ke, J.C.1
  • 29
    • 28444459179 scopus 로고    scopus 로고
    • On M/G/1system under NT policies with breakdowns, startup and closedown
    • Ke J.C. On M/G/1system under NT policies with breakdowns, startup and closedown. Appl. Mathemat. Model. 30 (2006) 49-66
    • (2006) Appl. Mathemat. Model. , vol.30 , pp. 49-66
    • Ke, J.C.1
  • 30
    • 33646690060 scopus 로고    scopus 로고
    • An M/G/1 queue under hysteretic vacation policy with an early startup and unreliable server
    • Ke J.C. An M/G/1 queue under hysteretic vacation policy with an early startup and unreliable server. Mathemat. Meth. Oper. Res. 63 2 (2006) 357-369
    • (2006) Mathemat. Meth. Oper. Res. , vol.63 , Issue.2 , pp. 357-369
    • Ke, J.C.1
  • 31
    • 26844534495 scopus 로고    scopus 로고
    • Modified T vacation policy for an M/G/1 queueing system with an unreliable server and startup
    • Ke J.C. Modified T vacation policy for an M/G/1 queueing system with an unreliable server and startup. Mathemat. Comput. Model. 41 (2005) 1267-1277
    • (2005) Mathemat. Comput. Model. , vol.41 , pp. 1267-1277
    • Ke, J.C.1
  • 32
    • 1842760500 scopus 로고    scopus 로고
    • Bi-level control for batch arrival queues with an early startup and unreliable server
    • Ke J.C. Bi-level control for batch arrival queues with an early startup and unreliable server. Appl. Mathemat. Model. 28 (2004) 469-485
    • (2004) Appl. Mathemat. Model. , vol.28 , pp. 469-485
    • Ke, J.C.1
  • 33
    • 60249097285 scopus 로고
    • A queueing system with random failures and delayed repairs
    • Madan K.C. A queueing system with random failures and delayed repairs. J. Ind. Statist. Assoc. 32 (1994) 39-48
    • (1994) J. Ind. Statist. Assoc. , vol.32 , pp. 39-48
    • Madan, K.C.1
  • 34
    • 0000793746 scopus 로고
    • A queueing network model with catastrophes and product from solution
    • Chao X. A queueing network model with catastrophes and product from solution. Oper. Res. Lett. 18 (1995) 75-79
    • (1995) Oper. Res. Lett. , vol.18 , pp. 75-79
    • Chao, X.1
  • 35
    • 33745839681 scopus 로고    scopus 로고
    • The M/G/1 processor sharing queue with disasters
    • Li Q., and Lin C. The M/G/1 processor sharing queue with disasters. Comput. Mathemat. Appl. 51 (2006) 987-998
    • (2006) Comput. Mathemat. Appl. , vol.51 , pp. 987-998
    • Li, Q.1    Lin, C.2
  • 36
    • 0012036382 scopus 로고
    • A single server priority queue with server failures and queue flushing
    • Towsley D., and Tripathi S.K. A single server priority queue with server failures and queue flushing. Oper. Res. Lett. 10 (1991) 353-362
    • (1991) Oper. Res. Lett. , vol.10 , pp. 353-362
    • Towsley, D.1    Tripathi, S.K.2
  • 37
    • 0034675407 scopus 로고    scopus 로고
    • G-Network: a versatile approach for work removal in queueing network
    • Artalejo J.R. G-Network: a versatile approach for work removal in queueing network. Euro. J. Oper. Res. 126 (2000) 233-249
    • (2000) Euro. J. Oper. Res. , vol.126 , pp. 233-249
    • Artalejo, J.R.1
  • 38
    • 0036459715 scopus 로고    scopus 로고
    • Analysis of M/G/1 stochastic clearing systems
    • Yang W.S., Kim J.D., and Chae K.C. Analysis of M/G/1 stochastic clearing systems. Stochast. Anal. Appl. 20 (2002) 1083-1100
    • (2002) Stochast. Anal. Appl. , vol.20 , pp. 1083-1100
    • Yang, W.S.1    Kim, J.D.2    Chae, K.C.3
  • 39
    • 84959609465 scopus 로고
    • The analysis of non-Markovian stochastic process by the inclusion of supplementary variables
    • Cox D.R. The analysis of non-Markovian stochastic process by the inclusion of supplementary variables. Proc. Cambridge Philos. Soc. 51 (1955) 433-441
    • (1955) Proc. Cambridge Philos. Soc. , vol.51 , pp. 433-441
    • Cox, D.R.1
  • 40
    • 0020103086 scopus 로고
    • Poisson arrivals see time averages
    • Wolff R.W. Poisson arrivals see time averages. Oper. Res. 30 (1982) 223-231
    • (1982) Oper. Res. , vol.30 , pp. 223-231
    • Wolff, R.W.1
  • 42
    • 0001439953 scopus 로고
    • A single server queue with feedback
    • Takács L. A single server queue with feedback. Bell Syst. Techn. J. 42 (1963) 487-503
    • (1963) Bell Syst. Techn. J. , vol.42 , pp. 487-503
    • Takács, L.1
  • 44
    • 60249084926 scopus 로고    scopus 로고
    • A hysteretic bulk quorum queue with a choice of service and optional re-service
    • Tadj L., and Ke J.C. A hysteretic bulk quorum queue with a choice of service and optional re-service. Qual. Technol. Quant. Manage. 5 (2008) 161-178
    • (2008) Qual. Technol. Quant. Manage. , vol.5 , pp. 161-178
    • Tadj, L.1    Ke, J.C.2
  • 46
    • 0029253439 scopus 로고
    • X/G/1 vacations models with N-policy: Heuristic interpretation of the mean waiting time
    • X/G/1 vacations models with N-policy: Heuristic interpretation of the mean waiting time. J. Oper. Res. Soc. 46 (1995) 258-264
    • (1995) J. Oper. Res. Soc. , vol.46 , pp. 258-264
    • Chae, K.C.1    Lee, H.W.2


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