메뉴 건너뛰기




Volumn 4, Issue 1, 2009, Pages 35-54

Optimal policy for bulk queue with multiple types of server breakdown

Author keywords

MX M 1 queue; Matrix geometric; Multiple breakdowns; N policy; Queue size; Unreliable server

Indexed keywords


EID: 57349152202     PISSN: 17457645     EISSN: 17457653     Source Type: Journal    
DOI: 10.1504/IJOR.2009.021617     Document Type: Article
Times cited : (38)

References (38)
  • 1
    • 0347716842 scopus 로고    scopus 로고
    • Overload analysis of the PH/PH/1/K type with very large K
    • Alfa, A.S. and Zhao, V.Q. (2000) 'Overload analysis of the PH/PH/1/K type with very large K', Asia Pacific Journal of Operation Research Vol. 17, No. 2, pp.123-135.
    • (2000) Asia Pacific Journal of Operation Research , vol.17 , Issue.2 , pp. 123-135
    • Alfa, A.S.1    Zhao, V.Q.2
  • 2
    • 0000765298 scopus 로고
    • Characterization and computation of optimal policies for operating an M/G/1 queueing system with removable server
    • Bell, C.E. (1971) 'Characterization and computation of optimal policies for operating an M/G/1 queueing system with removable server', Operations Research, Vol. 19, pp.208-218.
    • (1971) Operations Research , vol.19 , pp. 208-218
    • Bell, C.E.1
  • 3
    • 0023533125 scopus 로고
    • Matrix geometric and recursive algorithm solution of a two-stage unreliable flow line
    • Buzacott, J.A. and Kastelski, D. (1987) 'Matrix geometric and recursive algorithm solution of a two-stage unreliable flow line', IIE Transactions, Vol. 19, No. 4, pp.429-438.
    • (1987) IIE Transactions , vol.19 , Issue.4 , pp. 429-438
    • Buzacott, J.A.1    Kastelski, D.2
  • 4
    • 57349142268 scopus 로고    scopus 로고
    • Matrix geometric solution of nested QBD chain
    • Choi, S.H., Kim, B. and Sohraby, K. (2003) 'Matrix geometric solution of nested QBD chain', Queueing Systems, Vol. 43, No. 2, pp.95-128.
    • (2003) Queueing Systems , vol.43 , Issue.2 , pp. 95-128
    • Choi, S.H.1    Kim, B.2    Sohraby, K.3
  • 7
    • 33745858182 scopus 로고
    • Matrix geometric solution for two node tandem queueing systems with phase type servers subject to blocking and failure
    • Giin, L. and Makowaski, A.M. (1989) 'Matrix geometric solution for two node tandem queueing systems with phase type servers subject to blocking and failure', Communication in Statistics and Stochastic Models, Vol. 5, pp.431-457.
    • (1989) Communication in Statistics and Stochastic Models , vol.5 , pp. 431-457
    • Giin, L.1    Makowaski, A.M.2
  • 8
    • 0033872170 scopus 로고    scopus 로고
    • A vacation queueing model with service breakdown
    • Gray, W.J., Wang, P.P. and Scott, A. (2000) 'A vacation queueing model with service breakdown', Applied Mathematical Modeling, Vol. 24, pp.391-400.
    • (2000) Applied Mathematical Modeling , vol.24 , pp. 391-400
    • Gray, W.J.1    Wang, P.P.2    Scott, A.3
  • 9
    • 57349197651 scopus 로고    scopus 로고
    • Queueing models with backup servers and service breakdowns
    • Gray, W.J., Wang, P.P. and Scott, M.K. (2002) 'Queueing models with backup servers and service breakdowns', OPSEARCH, Vol. 390, Nos. 5-6, pp.281-295.
    • (2002) OPSEARCH , vol.390 , Issue.5-6 , pp. 281-295
    • Gray, W.J.1    Wang, P.P.2    Scott, M.K.3
  • 11
    • 0029251234 scopus 로고
    • Repairable single-server systems with multiple breakdown modes
    • Hsieh, Y.C. and Andersland, M.S. (1995). 'Repairable single-server systems with multiple breakdown modes', Microelectronics and Reliability, Vol. 35, No. 2, pp.309-318.
    • (1995) Microelectronics and Reliability , vol.35 , Issue.2 , pp. 309-318
    • Hsieh, Y.C.1    Andersland, M.S.2
  • 12
    • 0041340540 scopus 로고    scopus 로고
    • An analysis of the M/G/1 system with N and T policy
    • Hur, S., Kim, J. and Kang, C. (2003) 'An analysis of the M/G/1 system with N and T policy', Applied Mathematical Modelling, Vol. 27, No. 8, pp.665-675.
    • (2003) Applied Mathematical Modelling , vol.27 , Issue.8 , pp. 665-675
    • Hur, S.1    Kim, J.2    Kang, C.3
  • 13
    • 2142784718 scopus 로고    scopus 로고
    • Optimal N-policy for single-server Markovian queue with breakdown, repair and state dependent arrival rate
    • Jain, A. (1997) 'Optimal N-policy for single-server Markovian queue with breakdown, repair and state dependent arrival rate', International Journal of Management Systems, Vol. 13, No. 3, pp.245-260.
    • (1997) International Journal of Management Systems , vol.13 , Issue.3 , pp. 245-260
    • Jain, A.1
  • 14
    • 0028397488 scopus 로고
    • A general bulk service queue with arrival rate dependent on server breakdowns
    • Jayaraman, D., Nadarajan, R. and Sitrarasu, A.R. (1994) 'A general bulk service queue with arrival rate dependent on server breakdowns', Applied Mathematical Modelling, Vol. 18, pp.156-160.
    • (1994) Applied Mathematical Modelling , vol.18 , pp. 156-160
    • Jayaraman, D.1    Nadarajan, R.2    Sitrarasu, A.R.3
  • 15
    • 0037380537 scopus 로고    scopus 로고
    • The optimal control of an M/G/1 queueing system with server vacations, start-up and breakdowns
    • Ke, J-C. (2003) 'The optimal control of an M/G/1 queueing system with server vacations, start-up and breakdowns', Computers and Industrial Engineering, Vol. 44, No. 4, pp.567-579.
    • (2003) Computers and Industrial Engineering , vol.44 , Issue.4 , pp. 567-579
    • Ke, J.-C.1
  • 16
    • 1842760500 scopus 로고    scopus 로고
    • Bi-level control for batch arrival queues with an early start-up and un-reliable server
    • Ke, J-C. (2004) 'Bi-level control for batch arrival queues with an early start-up and un-reliable server', Applied Mathematical Modelling, Vol. 28, No. 5, pp.469-485.
    • (2004) Applied Mathematical Modelling , vol.28 , Issue.5 , pp. 469-485
    • Ke, J.-C.1
  • 17
    • 33747771998 scopus 로고    scopus 로고
    • Optimal NT policies for M/G/1 system with a start-up and unreliable server
    • Ke, J-C. (2006) 'Optimal NT policies for M/G/1 system with a start-up and unreliable server', Computers and Industrial Engineering, Vol. 50, No. 3, pp.248-262.
    • (2006) Computers and Industrial Engineering , vol.50 , Issue.3 , pp. 248-262
    • Ke, J.-C.1
  • 18
    • 33846611033 scopus 로고    scopus 로고
    • Batch arrival queues under vacation policies with server breakdowns and start-up/closedown times
    • Ke, J-C. (2007) 'Batch arrival queues under vacation policies with server breakdowns and start-up/closedown times', Applied Mathematical Modelling, Vol. 3, No. 17, pp.1282-1292.
    • (2007) Applied Mathematical Modelling , vol.3 , Issue.17 , pp. 1282-1292
    • Ke, J.-C.1
  • 19
    • 30344437397 scopus 로고    scopus 로고
    • Optimal management policy for heterogeneous arrival queueing systems with server breakdowns and vacations
    • Ke, J-C. and Pearn, W.L. (2004) 'Optimal management policy for heterogeneous arrival queueing systems with server breakdowns and vacations', Quality Technology and Quantitative Management, Vol. 1, No. 1, pp.149-162.
    • (2004) Quality Technology and Quantitative Management , vol.1 , Issue.1 , pp. 149-162
    • Ke, J.-C.1    Pearn, W.L.2
  • 20
    • 16244380498 scopus 로고    scopus 로고
    • A geometric process model for M/ M/1 queueing system with a repairable service station
    • Lam, Y., Zhang, Y.L. and Liu, Q. (2006) 'A geometric process model for M/ M/1 queueing system with a repairable service station', European Journal of Operational Research, Vol. 168, No. 1, pp.100-121.
    • (2006) European Journal of Operational Research , vol.168 , Issue.1 , pp. 100-121
    • Lam, Y.1    Zhang, Y.L.2    Liu, Q.3
  • 21
    • 0031209451 scopus 로고    scopus 로고
    • Reliability approximation of a Markov queueing system with server breakdown and repair
    • Li Q.L., Xu, D.J. and Cao, J. (1997) 'Reliability approximation of a Markov queueing system with server breakdown and repair', Microelectronics and Reliability, Vol. 37, No. 8, pp.1203-1212.
    • (1997) Microelectronics and Reliability , vol.37 , Issue.8 , pp. 1203-1212
    • Li, Q.L.1    Xu, D.J.2    Cao, J.3
  • 22
    • 0029323404 scopus 로고
    • Delay analysis of cellular priority queueing system
    • Mcmillan, D. (1995) 'Delay analysis of cellular priority queueing system', IEEE/MCM Transactions on Networks, Vol. 3, No. 3, pp.310-319.
    • (1995) IEEE/MCM Transactions on Networks , vol.3 , Issue.3 , pp. 310-319
    • Mcmillan, D.1
  • 23
    • 0000922222 scopus 로고
    • Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector
    • Neuts, M.F. (1978) 'Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector', Advances of Applied Probability, Vol. 10, pp.185-212.
    • (1978) Advances of Applied Probability , vol.10 , pp. 185-212
    • Neuts, M.F.1
  • 25
    • 1442285819 scopus 로고    scopus 로고
    • Sensitivity analysis of the optimal management policy for a queueing system with a removable and non-reliable server
    • Pearn, W.L., Ke, J.C. and Chang, Y.C. (2004) 'Sensitivity analysis of the optimal management policy for a queueing system with a removable and non-reliable server', Computers and Industrial Engineering, Vol. 46, No. 1, pp.87-99.
    • (2004) Computers and Industrial Engineering , vol.46 , Issue.1 , pp. 87-99
    • Pearn, W.L.1    Ke, J.C.2    Chang, Y.C.3
  • 26
    • 0018519890 scopus 로고
    • A single-server queue with arrival rates dependent on server breakdown
    • Shogan, A.W. (1979) 'A single-server queue with arrival rates dependent on server breakdown', Naval Research Logistic Quarterly, Vol. 26, pp.487-497.
    • (1979) Naval Research Logistic Quarterly , vol.26 , pp. 487-497
    • Shogan, A.W.1
  • 27
    • 0030574665 scopus 로고    scopus 로고
    • Discrete NT-policy single-server queue with Markovian arrival process and phase type service
    • Sule, A.A. and Frigui, I. (1996) 'Discrete NT-policy single-server queue with Markovian arrival process and phase type service', European Journal of Operational Research, Vol. 88, No. 3, pp.599-613.
    • (1996) European Journal of Operational Research , vol.88 , Issue.3 , pp. 599-613
    • Sule, A.A.1    Frigui, I.2
  • 28
    • 11144244464 scopus 로고    scopus 로고
    • Computational analysis of a multi-server bulk arrival with two modes server breakdown
    • Sultan, A.M., Hassan, N.A. and Elhamy, N.M. (2005) 'Computational analysis of a multi-server bulk arrival with two modes server breakdown', Mathematical and Computational Applications, Vol. 10, No. 2, pp.249-259.
    • (2005) Mathematical and Computational Applications , vol.10 , Issue.2 , pp. 249-259
    • Sultan, A.M.1    Hassan, N.A.2    Elhamy, N.M.3
  • 29
    • 1442283215 scopus 로고    scopus 로고
    • An analysis of a queueing system with multitask servers
    • Tian, N. and Zhang, Z.G. (2004) 'An analysis of a queueing system with multitask servers', European Journal of Operational Research, Vol. 156, pp.375-389.
    • (2004) European Journal of Operational Research , vol.156 , pp. 375-389
    • Tian, N.1    Zhang, Z.G.2
  • 30
    • 16244365861 scopus 로고    scopus 로고
    • A threshold vacation policy in multi-server queueing systems
    • Tian, N. and Zhang, Z.G. (2006) 'A threshold vacation policy in multi-server queueing systems', European Journal of Operational Research, Vol. 168, No. 1, pp.153-163.
    • (2006) European Journal of Operational Research , vol.168 , Issue.1 , pp. 153-163
    • Tian, N.1    Zhang, Z.G.2
  • 31
    • 9644279664 scopus 로고    scopus 로고
    • An M/G/1 queue with second optional service and server breakdowns
    • Wang, J. (2004) 'An M/G/1 queue with second optional service and server breakdowns', Computers and Mathematics with Applications, Vol. 47, Nos. 10-11, pp.1713-1723.
    • (2004) Computers and Mathematics with Applications , vol.47 , Issue.10-11 , pp. 1713-1723
    • Wang, J.1
  • 32
    • 0029358757 scopus 로고
    • Optimal operation of a Markovian queueing system with a removable and non-reliable server
    • Wang, K.H. (1995) 'Optimal operation of a Markovian queueing system with a removable and non-reliable server', Microelectronics and Reliability, Vol. 35, No. 8, pp.1131-1136.
    • (1995) Microelectronics and Reliability , vol.35 , Issue.8 , pp. 1131-1136
    • Wang, K.H.1
  • 33
    • 0029253527 scopus 로고
    • Optimal control of a removable and non-reliable server in a Markovian queueing system with finite capacity
    • Wang, K.H. and Hsieh, W.F. (1995) 'Optimal control of a removable and non-reliable server in a Markovian queueing system with finite capacity', Microelectronics and Reliability, Vol. 35, No. 2, pp.189-196.
    • (1995) Microelectronics and Reliability , vol.35 , Issue.2 , pp. 189-196
    • Wang, K.H.1    Hsieh, W.F.2
  • 35
    • 17444365794 scopus 로고    scopus 로고
    • Maximum entropy analysis to the N policy M/G/1 queueing system with server breakdowns and general start-up times
    • Wang, K.H., Wang, T.Y. and Pearn, W.L. (2005) 'Maximum entropy analysis to the N policy M/G/1 queueing system with server breakdowns and general start-up times', Applied Mathematics and Computation, Vol. 165, No. 1, pp.45-61.
    • (2005) Applied Mathematics and Computation , vol.165 , Issue.1 , pp. 45-61
    • Wang, K.H.1    Wang, T.Y.2    Pearn, W.L.3
  • 37
    • 33744508222 scopus 로고    scopus 로고
    • Analysis of multi server queue with a single vacation (e, d) policy
    • Xu, X. and Zhang, Z.G. (2006) 'Analysis of multi server queue with a single vacation (e, d) policy', Performance Evaluation, Vol. 63, pp.825-838.
    • (2006) Performance Evaluation , vol.63 , pp. 825-838
    • Xu, X.1    Zhang, Z.G.2
  • 38
    • 0141639671 scopus 로고    scopus 로고
    • Performance modelling of nonhomogeneous unreliable multiserver systems using MOSEL
    • Zreikat, A.I., Bolch, G. and Sztrik, J. (2003) 'Performance modelling of nonhomogeneous unreliable multiserver systems using MOSEL', Computers and Mathematics with Applications, Vol. 46, Nos. 2-3, pp.293-312.
    • (2003) Computers and Mathematics with Applications , vol.46 , Issue.2-3 , pp. 293-312
    • Zreikat, A.I.1    Bolch, G.2    Sztrik, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.