메뉴 건너뛰기




Volumn 231, Issue 1, 2009, Pages 349-364

The N-policy for an unreliable server with delaying repair and two phases of service

Author keywords

Delay time; MX G 1 queue and reliability index; N policy; Random breakdown; Repair time; Second optional service; Stationary queue size distribution

Indexed keywords

DELAY TIME; MX / G / 1 QUEUE AND RELIABILITY INDEX; N-POLICY; RANDOM BREAKDOWN; SECOND OPTIONAL SERVICE; STATIONARY QUEUE SIZE DISTRIBUTION;

EID: 67349126495     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.02.101     Document Type: Article
Times cited : (40)

References (45)
  • 1
    • 0002542536 scopus 로고
    • A waiting line with interrupted service including priorities
    • Gaver D.P. A waiting line with interrupted service including priorities. Journal of Royal Statistical Society, Series B 24 (1962) 73-90
    • (1962) Journal of Royal Statistical Society, Series B , vol.24 , pp. 73-90
    • Gaver, D.P.1
  • 2
    • 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. Operations Research 11 (1963) 303-320
    • (1963) Operations Research , vol.11 , pp. 303-320
    • Avi-ltzhak, B.1    Naor, P.2
  • 4
    • 0001239965 scopus 로고
    • A many server queue with service interruptions
    • Mitrany I.L., and Avi-Itzhak B. A many server queue with service interruptions. Operations Research 16 (1968) 628-638
    • (1968) Operations Research , vol.16 , pp. 628-638
    • Mitrany, I.L.1    Avi-Itzhak, B.2
  • 5
    • 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. Microelectronics and Reliability 37 (1997) 1203-1212
    • (1997) Microelectronics and Reliability , vol.37 , pp. 1203-1212
    • Li, Q.1    Xu, D.2    Cao, J.3
  • 6
    • 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. Journal of Applied Probability 34 (1997) 546-555
    • (1997) Journal of Applied Probability , vol.34 , pp. 546-555
    • Li, W.1    Shi, D.2    Chao, X.3
  • 7
    • 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. Operations Research 38 (1990) 308-318
    • (1990) Operations Research , vol.38 , pp. 308-318
    • Sengupta, B.1
  • 8
    • 0031314563 scopus 로고    scopus 로고
    • A single server queue with service interruptions
    • Takine T., and Sengupta B. A single server queue with service interruptions. Queueing Systems 26 (1998) 285-300
    • (1998) Queueing Systems , vol.26 , pp. 285-300
    • Takine, T.1    Sengupta, B.2
  • 9
    • 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. Microelectronics and Reliability 37 (1997) 315-321
    • (1997) Microelectronics and Reliability , vol.37 , pp. 315-321
    • Tang, Y.1
  • 10
    • 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 Journal of Mathematics 29 (2003) 103-110
    • (2003) Soochow Journal of Mathematics , vol.29 , pp. 103-110
    • Madan, K.C.1
  • 11
    • 1842760500 scopus 로고    scopus 로고
    • Bi-level control for batch arrival queues with an early startup and un-reliable server
    • Ke J.C. Bi-level control for batch arrival queues with an early startup and un-reliable server. Applied Mathematical Modelling 28 (2004) 469-485
    • (2004) Applied Mathematical Modelling , vol.28 , pp. 469-485
    • Ke, J.C.1
  • 12
    • 26844534495 scopus 로고    scopus 로고
    • Modified T vacation policy for an M / G / 1 queueing system with an un-reliable server and startup
    • Ke J.C. Modified T vacation policy for an M / G / 1 queueing system with an un-reliable server and startup. Mathematical and Computer Modelling 41 (2005) 1267-1277
    • (2005) Mathematical and Computer Modelling , vol.41 , pp. 1267-1277
    • Ke, J.C.1
  • 13
    • 28444459179 scopus 로고    scopus 로고
    • On M / G / 1 system under NT policies with breakdowns startup and closedown
    • Ke J.C. On M / G / 1 system under NT policies with breakdowns startup and closedown. Applied Mathematical Modelling 30 (2006) 49-66
    • (2006) Applied Mathematical Modelling , vol.30 , pp. 49-66
    • Ke, J.C.1
  • 14
    • 33646690060 scopus 로고    scopus 로고
    • An M / G / 1 queue under hysteretic vacation policy with an early startup and un-reliable server
    • Ke J.C. An M / G / 1 queue under hysteretic vacation policy with an early startup and un-reliable server. Mathematical Methods of Operations Research 63 2 (2006) 357-369
    • (2006) Mathematical Methods of Operations Research , vol.63 , Issue.2 , pp. 357-369
    • Ke, J.C.1
  • 15
    • 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. Operations Research Letters 18 (1995) 75-79
    • (1995) Operations Research Letters , vol.18 , pp. 75-79
    • Chao, X.1
  • 16
    • 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. Computers and Mathematics with Applications 51 (2006) 987-998
    • (2006) Computers and Mathematics with Applications , vol.51 , pp. 987-998
    • Li, Q.1    Lin, C.2
  • 17
    • 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. Operations Research Letters 10 (1991) 353-362
    • (1991) Operations Research Letters , vol.10 , pp. 353-362
    • Towsley, D.1    Tripathi, S.K.2
  • 18
    • 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. European Journal of Operational Research 126 (2000) 233-249
    • (2000) European Journal of Operational Research , vol.126 , pp. 233-249
    • Artalejo, J.R.1
  • 20
    • 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. Queueing Systems 34 (2000) 37-46
    • (2000) Queueing Systems , vol.34 , pp. 37-46
    • Madan, K.C.1
  • 21
    • 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. Queueing Systems 42 (2002) 239-242
    • (2002) Queueing Systems , vol.42 , pp. 239-242
    • Medhi, J.1
  • 22
    • 34248202004 scopus 로고    scopus 로고
    • Steady state analysis of an M / G / 1 queue with repeated attempts and two phase service
    • Artalejo J.R., and Choudhury G. Steady state analysis of an M / G / 1 queue with repeated attempts and two phase service. Quality Technology and Quantitative Management 1 (2004) 189-199
    • (2004) Quality Technology and Quantitative Management , vol.1 , pp. 189-199
    • Artalejo, J.R.1    Choudhury, G.2
  • 23
    • 9644279664 scopus 로고    scopus 로고
    • An M / G / 1queue with second optional service and server breakdowns
    • Wang J. An M / G / 1queue with second optional service and server breakdowns. Computers and Mathematics with Applications 47 (2004) 1713-1723
    • (2004) Computers and Mathematics with Applications , vol.47 , pp. 1713-1723
    • Wang, J.1
  • 24
    • 50049127242 scopus 로고    scopus 로고
    • An M / G / 1 retrial queueing system with two phases of service subject to the server breakdown and repair
    • Choudhury G., and Deka K. An M / G / 1 retrial queueing system with two phases of service subject to the server breakdown and repair. Performance Evaluation 65 (2008) 714-724
    • (2008) Performance Evaluation , vol.65 , pp. 714-724
    • Choudhury, G.1    Deka, K.2
  • 25
    • 60249094955 scopus 로고    scopus 로고
    • An M / G / 1 queue with two phases of service subject to the server breakdown and delayed repair
    • Choudhury G., and Tadj L. An M / G / 1 queue with two phases of service subject to the server breakdown and delayed repair. Applied Mathematical Modelling 33 (2009) 2699-2709
    • (2009) Applied Mathematical Modelling , vol.33 , pp. 2699-2709
    • Choudhury, G.1    Tadj, L.2
  • 30
    • 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. Journal of Operational Research Society 46 (1995) 258-264
    • (1995) Journal of Operational Research Society , vol.46 , pp. 258-264
    • Chae, K.C.1    Lee, H.W.2
  • 31
    • 0043116742 scopus 로고    scopus 로고
    • The stochastic decomposition results of batch arrival Poisson queue with a grand vacation process
    • Choudhury G., and Barthakur A. The stochastic decomposition results of batch arrival Poisson queue with a grand vacation process. Sankhyover(a, ̄) Series B 62 (2000) 448-462
    • (2000) Sankhyover(a, ̄) Series B , vol.62 , pp. 448-462
    • Choudhury, G.1    Barthakur, A.2
  • 32
    • 26844476844 scopus 로고    scopus 로고
    • A two-stage batch arrival queueing system with a modified Bernoulli schedule vacation under N-policy
    • Choudhury G., and Madan K.C. A two-stage batch arrival queueing system with a modified Bernoulli schedule vacation under N-policy. Mathematical and Computer Modelling 42 (2005) 71-85
    • (2005) Mathematical and Computer Modelling , vol.42 , pp. 71-85
    • Choudhury, G.1    Madan, K.C.2
  • 33
    • 30444456530 scopus 로고    scopus 로고
    • A batch arrival queue with a second optional service channel under N-policy
    • Choudhury G., and Paul M. A batch arrival queue with a second optional service channel under N-policy. Stochastic Analysis and Applications 24 (2006) 1-21
    • (2006) Stochastic Analysis and Applications , vol.24 , pp. 1-21
    • Choudhury, G.1    Paul, M.2
  • 35
    • 23244452170 scopus 로고    scopus 로고
    • Control policy of a hysteretic bulk queueing system
    • Tadj L., and Ke J.C. Control policy of a hysteretic bulk queueing system. Mathematical and Computer Modelling 41 (2005) 571-579
    • (2005) Mathematical and Computer Modelling , vol.41 , pp. 571-579
    • Tadj, L.1    Ke, J.C.2
  • 36
    • 33846161683 scopus 로고    scopus 로고
    • A quorum queueing system with a random setup time under N-policy and with Bernoulli vacation schedule
    • Tadj L., Choudhury G., and Tadj C. A quorum queueing system with a random setup time under N-policy and with Bernoulli vacation schedule. Quality Technology and Quantitative Management 3 2 (2006) 145-160
    • (2006) Quality Technology and Quantitative Management , vol.3 , Issue.2 , pp. 145-160
    • Tadj, L.1    Choudhury, G.2    Tadj, C.3
  • 38
    • 33749044555 scopus 로고    scopus 로고
    • Optimal design and control of queues
    • Tadj L., and Choudhury G. Optimal design and control of queues. TOP 13 1 (2005) 359-414
    • (2005) TOP , vol.13 , Issue.1 , pp. 359-414
    • Tadj, L.1    Choudhury, G.2
  • 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. Proceeding of Cambridge Philosophical Society 51 (1955) 433-441
    • (1955) Proceeding of Cambridge Philosophical Society , vol.51 , pp. 433-441
    • Cox, D.R.1
  • 41
    • 9544255691 scopus 로고    scopus 로고
    • X / G / 1 queue with feedback and optional server vacations based on a single vacation policy
    • X / G / 1 queue with feedback and optional server vacations based on a single vacation policy. Applied Mathematics and Computation 160 (2005) 909-919
    • (2005) Applied Mathematics and Computation , vol.160 , pp. 909-919
    • Madan, K.C.1    Al-Rawwash, M.2
  • 42
    • 0022130542 scopus 로고
    • Stochastic decomposition in M / G / 1 queue with generalized vacation
    • Fuhrmann S.W., and Cooper R.B. Stochastic decomposition in M / G / 1 queue with generalized vacation. Operation Research 33 (1985) 1117-1129
    • (1985) Operation Research , vol.33 , pp. 1117-1129
    • Fuhrmann, S.W.1    Cooper, R.B.2
  • 43
    • 0020103086 scopus 로고
    • Poisson arrivals see time averages
    • Wolff R.W. Poisson arrivals see time averages. Operations Research 30 (1982) 223-231
    • (1982) Operations Research , vol.30 , pp. 223-231
    • Wolff, R.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.