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題名：Matrix Analytic Method and Working Vacation Queues--A Survey
書刊名：International Journal of Information and Management Sciences
作者：Tian, Nai-shuo／Li, Ji-hong／Zhang, Zhe George
出版日期：2009
卷期：20:4
頁次：頁603-633
主題關鍵詞：Queueing systems；Working vacation queue；Stochastic decomposition；Matrix analytic approach；M/G/1 type model；GI/M/1 type model；QBD process
原始連結：連回原系統網址new window
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  • 共同引用共同引用:1
  • 點閱點閱:43
期刊論文
1.Baba, Yutaka(2005)。Analysis of a GI/M/1 Queue with Multiple Working Vacations。Operations Research Letters，33(2)，201-209。  new window
2.Ke, Jau-Chuan(2003)。The Analysis of a General Input Queue with N-policy and Exponential Vacations。Queueing Systems，45(2)，135-160。  new window
3.Keilson, J.、Servi, L. D.(1987)。Dynamics of the M/ G/ 1 Vacation Model。Operations Research，35(4)，575-582。  new window
4.Levy, Y.、Yechiali, U.(1975)。Utilization of Idle Time in an M/G/1 Queueing System。Management Science，22(2)，202-211。  new window
5.Li, Ji-hong、Tian, Nai-shuo(2007)。The Discrete-time GI/Geo/1 Queue with Working Vacations and Vacation Interruption。Applied Mathematics and Computation，185(1)，1-10。  new window
6.Tian, Naishuo、Zhang, Zhe George(2002)。The Discrete Time GI/Geo/1 Queue with Multiple Vacations。Queueing Systems，40(3)，283-294。  new window
7.Zhang, Zhe George、Tian, Naishuo(2001)。Discrete Time Geo/G/1 Queue with Multiple Adaptive Vacations。Queueing Systems，38(4)，419-430。  new window
8.Doshi, Bharat T.(1986)。Queueing systems with vacations: A survey。Queueing Systems，1(1)，29-66。  new window
9.Alfa, Attahiru Sule(2003)。Vacation Models in Discrete Time。Queueing Systems，44(1)，5-30。  new window
10.Banik, A.、Gupta, U.、Pathak, S.(2007)。On the GI/M/1/N Queue with Multiple Working Vacations-analytic Analysis and Computation。Applied Mathematical Modelling，31(9)，1701-1710。  new window
11.Blondia, C.(1993)。A Discrete Time Batch Markovian Arrival Process as B-ISDN Traffic Model。Belgian Journal of Operations Research, Statistics and Computer Science，32，13-23。  new window
12.Blondia, C.、Cosal, O.(1992)。Statistical Multiplexing of VBR Sources: A Matrix-analytic Approach。Performance Evaluation，16(1-3)，5-20。  new window
13.Boxma, O. J.、Groenendijk, W. P.(1987)。Pseudo-conservation Laws in Cyclic-service Systems。Journal of Applied Probability，24(4)，949-964。  new window
14.Chao, Xiuli、Zhao, Yiqiang Q.(1998)。Analysis of Multi-server Queues with Station and Server Vacations。European Journal of Operational Research，110(2)，392-406。  new window
15.Chatterjee, U.、Mukherjee, S. P.(1990)。GI/M/I Queue with Server Vacations。Journal of the Operational Research Society，41(1)，83-87。  new window
16.Dukhovry, Alexander(1997)。Vacations in GIX /MX /1 Systems and Riemann Boundary Value Problems。Queueing System，27(3/ 4)，351-366。  new window
17.Erlang, A. K.(1909)。The Theory of Probabilities and Telephone Conversations。Nyt. Tidsskrift Matematik，B20，33-39。  new window
18.Fuhrman, S.(1984)。A Note on the M/G/1 Queue with Server Vacations。Operation Ressearch，32(6)，1368-1373。  new window
19.Fuhrmann, S. W.、Cooper, Robert B.(1985)。Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations。Operations Research，33(5)，1117-1129。  new window
20.Gravey, A.、Hébuterne, G.(1992)。Simultaneity in Discrete-time Single Server Queues with Bernoulli Inputs。Performance Evaluation，14(2)，123-131。  new window
21.Harris, Carl M.、Marchal, William G.(1988)。State Dependence in M/G/1 Server-vacation Models。Operations Research，36(4)，560-565。  new window
22.Keilson, Julian、Rammaswami, R.(1988)。The Backlog and Depletion-time Process for M/G/1 Vacation Models with Exhaustive Service Discipline。Journal of Applied Probability，25(2)，404-412。  new window
23.Keilson, J.、Servi, L.(1988)。A Distributional Form of Little's Law。Operations Research Letters，7(5)，223-227。  new window
24.Kobayashi, Hisashi、Konhein, Alan G.(1977)。Queueing Models for Computer Communications System Analysis。IEEE Transactions on Communications，25(1)，1-29。  new window
25.Levy, Hanoch、Kleinrock, Leonard(1986)。A Queue with Starter and a Queue with Vacations: Delay Analysis by Decomposition。Operations Research，34(3)，426-436。  new window
26.Li, J.、Tian, N.(2007)。The M/M/1 Queue with Working Vacations and Vacation Interruptions。Journal of Systems Science and Systems Engineering，16(1)，121-127。  new window
27.Li, Ji-Hong、Tian, Nai-Shuo(2008)。Analysis of the Discrete Time Geo/Geo/1 Queue with Single Working Vacation。Quality Technology & Quantitative Management，5(1)，77-89。  new window
28.Li, Ji-Hong、Tian, Nai-Shuo(2009)。The GI/M/1 Queue with Phase-type Working Vacations and Vacation Interruption。Journal of Applied Mathematics and Computing，30(1/ 2)，121-141。  new window
29.Li, Ji-Hong、Tian, Nai-Shuo、Liu, Wen-Yuan(2007)。Discrete-time GI/Geo/1 Queue with Multiple Working Vacations。Queueing Systems，56(1)，53-63。  new window
30.Li, Ji-Hong、Tian, Nai-Shuo、Ma, Zhan-You(2008)。Performance Analysis of GI/M/1 Queue with Working Vacations and Vacation Interruption。Applied Mathematical Modelling，32(12)，2715-2730。  new window
31.Li, J.、Tian, N.、Zhang, Z. G.、Lu, H. P.(2009)。Analysis of the M/G/1 Queue with Exponentially Working Vacations - A Matrix Analytic Approach。Queueing Systems，61(2/ 3)，139-166。  new window
32.Liu, Wen-Yuan、Xu, Xiu-Li、Tian, Nai-Shuo(2007)。Stochastic Decompositions in the M/M/1 Queue with Working Vacations。Operations Research Letters，35(5)，595-600。  new window
33.Ma, Zhanyou、Tian, Naishuo、Liu, Mingxin(2007)。A Geom/G/1 Gate Service System with Multiple Adaptive Vacation。International Journal of Information and Management Sciences，18(3)，209-221。new window  new window
34.Meisling, T.(1958)。Discrete Time Queueing Theory。Operation Ressearch，6，96-105。  new window
35.Miyazawa, M.(1994)。Decomposition Formulas for Single Server Queues with Vacations : A Unified Approach by the Rrate Conservation Law。Stochastic Models，10(2)，389-413。  new window
36.Neuts, Marcel F.(1978)。Markov Chains with Applications in Queueing Theory, Which Have a Matrix-geometric Invariant Probability Vector。Advances in Applied Probability，10(1)，185-211。  new window
37.Servi, L.、Finn, S.(2002)。M/M/1 Queue with Working Vacations (M/M/1/WV)。Performance Evaluation，50(1)，41-52。  new window
38.Shanthinkumar, J. George(1988)。On Stochastic Decomposition in M/G/1 Type Queues with Generalized Server Vacations。Operations Research，36(4)，566-569。  new window
39.Takine, Tetsuya、Hasekawa, Toshiharu(1992)。A Generalization of the Decomposition Property in the M/G/1 Queue with Server Vacations。Operations Research Letters，12(2)，97-99。  new window
40.Teghem, J.(1986)。Control of the Service Process in a Queueing System。European Journal of Operational Research，23(2)，141-158。  new window
41.Tian, Naishou、Ma, Zhanyou、Liu, Mingxin(2008)。The Discrete Time Geom/Geom/1 Queue with Multiple Working Vacations。Applied Mathematical Modelling，32(12)，2941-2953。  new window
42.Tian, Naishou、Zhang, Daqing、Cao, Chengxuan(1989)。The GI/M/1 Queue with Exponential Vacations。Queueing Systems，5(4)，331-344。  new window
43.Tian, Naishuo、Zhang, Zhe George(2003)。Stationary Distributions of GI/M/c Queue with PH Type Vacations。Queueing Systems，44(2)，183-202。  new window
44.Tian, Naishuo、Zhang, Zhe George(2004)。A Note on GI/M/1 Queues with Phase-type Setup Times or Server Vacations。INFOR，41(4)，341-351。  new window
45.Tian, Naishuo、Zhang, Zhe George(2007)。Quantitying the Performance Effects of Idle Time Utilization in Multiserver Systems。Naval Research Logistics，54(2)，189-199。  new window
46.Tian, Naishuo、Zhao, Xinqiu、Wang, Kaiyu(2008)。The M/M/1 Queue with Single Working Vacation。International Journal of Information and Management Sciences，19(4)，621-634。new window  new window
47.Wu, De-An、Takagi, Hideaki(2006)。M/G/1 Queue with Multiple Working Vacations。Performance Evaluation，63(7)，654-681。  new window
48.Xu, Xiuli、Zhang, Zhe George(2006)。Analysis of Multi-server Queue with a Single Vacation (E, D)-policy。Performance Evaluation，63(8)，625-638。  new window
49.Xu, Xiuli、Zhang, Zhe George、Tian, Naishuo(2009)。The M/M/1 Queue with Single Working Vacation and Set-up Times。International Journal of Operational Research，6(3)，420-434。  new window
50.Yi, Xeung Won、Kim, Jin Dong、Choi, Dae Won、Chae, Kyung Chul(2007)。The Geo/G/1 Queue with Disasters and Multiple Working Vacations。Stochastic Models，23(4)，537-549。  new window
51.Zhang, Zhe George、Tian, Naishuo(2003)。Analysis of Queueing Systems with Synchronous Single Vacation for Some Servers。Queueing Systems，45(2)，161-175。  new window
52.Zhang, Zhe George、Tian, Naishuo(2003)。Analysis on Queueing Systems with Synchronous Vacations of Partial Servers。Performance Evaluation，52(4)，269-282。  new window
53.Zhang, Zhe George、Tian, Naishuo(2006)。A Two Threshold Vacation Policy in Multiserver Queueing System。European Journal of Operational Research，168，153-163。  new window
54.Zhang, Zhong-Jun、Xu, Xiu-Li(2008)。Analysis for the M/M/1 Queue with Multiple Working Vacations and N-policy。International Journal of Information and Management Sciences，19(3)，495-506。new window  new window
會議論文
1.Kim, J.、Choi, D.、Chae, K.(2003)。Analysis of Queue-length Distribution of the M/G/1 Queue with Working Vacations。  new window
2.Narula-Tam, Aradhana、Finn, Steven G.、Medard, Muriel(2001)。Analysis of Reconfiguration in IP over WDM Access Networks1-3。  new window
研究報告
1.Li, Ji-Hong、Tian, Nai-Shuo。The Waiting Time of the GI/M/1 Queue with Working Vacations。  new window
學位論文
1.Wallace, P.(1969)。The Solution of Quasi Birth and Death Processes Arising from Multiple Access Computer Systems。  new window
圖書
1.Neuts, M.(1981)。Matrix-geometric Solutions in Stochastic Models。Matrix-geometric Solutions in Stochastic Models。Baltimore, MD：The Johns Hopkins University Press。  new window
2.Tian, Naishuo、Zhang, Zhe George(2006)。Vacation Queueing Models--Theory and Applications。New York, NY：Springer Verlag。  new window
3.Bruneel, H.、Kim, B. G.(1993)。Discrete-time Models for Communication Systems Including ATM。Boston, MA：Kluwer Academic Publishers。  new window
4.Gross, D.、Harris, C.(1985)。Foundamentals of Queueing Theory。Foundamentals of Queueing Theory。New York, NY。  new window
5.Hunter, J. J.(1983)。Mathematical Techniques of Applied Probability, Vol. 2: Discrete Time Models, Techniques and Applications。Mathematical Techniques of Applied Probability, Vol. 2: Discrete Time Models, Techniques and Applications。New York, NY。  new window
6.Latouche, G.、Ramaswami, V.(1999)。Introduction to Matrix-analysis Methods in Statistics Modeling。Introduction to Matrix-analysis Methods in Statistics Modeling。New York, NY。  new window
7.Lucantoni, David M.(1993)。The BMAP/G/1 Queue。Performance Evaluation of Computer and Communication Systems: Joint Tutorial Papers of Performance '93 and Sigmetrics '93。  new window
8.Neuts, M.(1995)。Matrix-analytic Methods in Queueing Theory。Advances in Queueing。  new window
9.Neuts, M.(1999)。Structured Stochastic Matrices of M/G/1 Type and Their Applications。Structured Stochastic Matrices of M/G/1 Type and Their Applications。New York, NY。  new window
10.Ross, D.(1983)。Stochastic Processes。Stochastic Processes。New York, NY。  new window
11.Takagi, H.(1991)。Queueing Analysis, Vol. 1: Vacation and Priority Systems。Queueing Analysis, Vol. 1: Vacation and Priority Systems。Amsterdar, North-Holland。  new window
12.Takagi, H.(1993)。Queueing Analysis, Vol. 3: Discrete Time Systems。Queueing Analysis, Vol. 3: Discrete Time Systems。Amsterdam, North-Holland。  new window
13.Takagi, H.(1997)。Queueing Analysis of Polling Models。Frontiers in Queueing。  new window
14.Tian, N.、Xu, X.、Ma, Z.(2008)。Discrete Time Queueing Theory。Discrete Time Queueing Theory。Beijing。  new window
其他
1.Li, J.，Liu, W.，Tian, N.(2008)。Steady-state Analysis of a Discrete-time Batch Arrival Queue with Working Vacations。  new window
 
 
 
 
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