메뉴 건너뛰기




Volumn 21, Issue 1, 1996, Pages 135-157

Light-traffic analysis for queues with spatially distributed arrivals

Author keywords

Continuous polling system; General stationary input; Greedy server; Light traffic derivative; Poisson arrivals; Queue length; Queueing theory; Taylor expansion; Workload

Indexed keywords

COMPUTATIONAL METHODS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; OPERATIONS RESEARCH; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

EID: 0030085186     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.21.1.135     Document Type: Article
Times cited : (23)

References (42)
  • 1
    • 85033834378 scopus 로고
    • Preprint 4-93, Rutgers University, New Brunswick, New Jersey
    • Altman, E., H. Levy (1993). Queueing in space. Preprint 4-93, Rutgers University, New Brunswick, New Jersey.
    • (1993) Queueing in Space
    • Altman, E.1    Levy, H.2
  • 2
    • 0002143357 scopus 로고
    • Cyclic Bernoulli polling
    • _, U. Yechiali (1993). Cyclic Bernoulli polling. Z. Oper. Res. 38 55-76.
    • (1993) Z. Oper. Res. , vol.38 , pp. 55-76
    • Yechiali, U.1
  • 3
    • 0000050921 scopus 로고
    • Virtual customers in sensitivity and light traffic analysis via Campbell's formula for point processes
    • Baccelli, F., P. Brémaud (1993). Virtual customers in sensitivity and light traffic analysis via Campbell's formula for point processes. Adv. Appl. Probab. 25, 221-234.
    • (1993) Adv. Appl. Probab. , vol.25 , pp. 221-234
    • Baccelli, F.1    Brémaud, P.2
  • 5
    • 0003040355 scopus 로고
    • A stochastic and dynamic vehicle routing problem in the Euclidean plane
    • Bertsimas, D. J., G. van Ryzin (1991). A stochastic and dynamic vehicle routing problem in the Euclidean plane. Oper. Res. 39 601-615.
    • (1991) Oper. Res. , vol.39 , pp. 601-615
    • Bertsimas, D.J.1    Van Ryzin, G.2
  • 7
    • 0000217867 scopus 로고
    • Factorial moment expansion for stochastic systems
    • Blaszczyszyn, B. (1995). Factorial moment expansion for stochastic systems. Stock. Proc. Appl. 56 321-335.
    • (1995) Stock. Proc. Appl. , vol.56 , pp. 321-335
    • Blaszczyszyn, B.1
  • 8
    • 0000767676 scopus 로고
    • Light-traffic approximations for Markov-modulated multi-server queues
    • _, A. Frey, V. Schmidt (1995). Light-traffic approximations for Markov-modulated multi-server queues. Stochastic Models 11 423-445.
    • (1995) Stochastic Models , vol.11 , pp. 423-445
    • Frey, A.1    Schmidt, V.2
  • 9
    • 5744233166 scopus 로고
    • Light-traffic approximations in queues and other stochastic models
    • Dshalalow, J. H., ed., CRC Press, Boca Raton, FL
    • _, T. Rolski, V. Schmidt (1995). Light-traffic approximations in queues and other stochastic models. Dshalalow, J. H., ed., Advances in Queueing: Theory, Methods and Open Problems. CRC Press, Boca Raton, FL, 225-242.
    • (1995) Advances in Queueing: Theory, Methods and Open Problems , pp. 225-242
    • Rolski, T.1    Schmidt, V.2
  • 11
    • 0001002417 scopus 로고
    • Workloads and waiting times in single-server systems with multiple customer classes
    • Boxma, O. J. (1989). Workloads and waiting times in single-server systems with multiple customer classes. Queueing Systems Theory Appl. 5 185-214.
    • (1989) Queueing Systems Theory Appl. , vol.5 , pp. 185-214
    • Boxma, O.J.1
  • 12
    • 0001311022 scopus 로고
    • Pseudo-conservation laws in cyclic service systems
    • _, W. P. Groenendijk (1987). Pseudo-conservation laws in cyclic service systems. J. Appl. Probab. 24 949-964.
    • (1987) J. Appl. Probab. , vol.24 , pp. 949-964
    • Groenendijk, W.P.1
  • 13
    • 0008992502 scopus 로고
    • Waiting times in polling systems with Markovian server routing
    • Stiege, G. and Lie, J. S., eds., Springer, Berlin
    • _, J. A. Weststrate (1989). Waiting times in polling systems with Markovian server routing. Stiege, G. and Lie, J. S., eds., Messung, Modellierung und Bewertung von Rechnersystemen und Netzen. Springer, Berlin, 89-104.
    • (1989) Messung, Modellierung und Bewertung von Rechnersystemen und Netzen , pp. 89-104
    • Weststrate, J.A.1
  • 14
    • 0022754667 scopus 로고
    • A continuons polling system with constant service times
    • Coffman, E. G. Jr., E. N. Gilbert (1986). A continuons polling system with constant service times. IEEE Trans. Inf. Th. IT-32 584-591.
    • (1986) IEEE Trans. Inf. Th. , vol.IT-32 , pp. 584-591
    • Coffman Jr., E.G.1    Gilbert, E.N.2
  • 15
    • 0038872654 scopus 로고
    • Polling and greedy servers on a line
    • _, _ (1987). Polling and greedy servers on a line. Queueing Systems Theory Appl. 2 115-145.
    • (1987) Queueing Systems Theory Appl. , vol.2 , pp. 115-145
  • 16
    • 84972017299 scopus 로고
    • Continuous polling on graphs
    • _, A. Stolyar (1993). Continuous polling on graphs. Probab. Engin. Inf. Sci. 7 209-226.
    • (1993) Probab. Engin. Inf. Sci. , vol.7 , pp. 209-226
    • Stolyar, A.1
  • 17
    • 0001048717 scopus 로고
    • Finiteness of waiting-time moments in general stationary single-server queues
    • Daley, D., T. Rolski (1992). Finiteness of waiting-time moments in general stationary single-server queues. Ann. Appl. Probab. 2 987-1008.
    • (1992) Ann. Appl. Probab. , vol.2 , pp. 987-1008
    • Daley, D.1    Rolski, T.2
  • 18
    • 38149143337 scopus 로고
    • Light traffic approximations in general stationary single-server queues
    • _, _ (1994). Light traffic approximations in general stationary single-server queues. Stochastic Process Appl. 49 141-158.
    • (1994) Stochastic Process Appl. , vol.49 , pp. 141-158
  • 19
    • 0001167653 scopus 로고
    • Conditional and unconditional distributions for M/G/1 type queues with server vacations
    • Doshi, B. T. (1990a). Conditional and unconditional distributions for M/G/1 type queues with server vacations. Queueing Systems Theory Appl. 7 229-252.
    • (1990) Queueing Systems Theory Appl. , vol.7 , pp. 229-252
    • Doshi, B.T.1
  • 20
    • 0000474442 scopus 로고
    • Generalization of the stochastic decomposition for single-server queues with vacations
    • _ (1990b). Generalization of the stochastic decomposition for single-server queues with vacations. Stochastic Models 6 307-333.
    • (1990) Stochastic Models , vol.6 , pp. 307-333
  • 21
    • 0024480587 scopus 로고
    • Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue
    • Fendick, K. W., W. Whitt (1989). Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue. Proc. IEEE 77 171-194.
    • (1989) Proc. IEEE , vol.77 , pp. 171-194
    • Fendick, K.W.1    Whitt, W.2
  • 23
    • 0022130542 scopus 로고
    • Stochastic decomposition in the M/G/1 queue with generalized vacations
    • Fuhrmann, S. W., R. B. Cooper (1985a). Stochastic decomposition in the M/G/1 queue with generalized vacations. Oper. Res. 33 1117-1129.
    • (1985) Oper. Res. , vol.33 , pp. 1117-1129
    • Fuhrmann, S.W.1    Cooper, R.B.2
  • 24
    • 0022064757 scopus 로고
    • Application of decomposition principle in M/G/1 vacation model to two continuum cyclic queueing models - Especially token-ring LANs
    • _, _ (1985b). Application of decomposition principle in M/G/1 vacation model to two continuum cyclic queueing models - especially token-ring LANs. AT&T Techn. J. 64 1091-1098.
    • (1985) AT&T Techn. J. , vol.64 , pp. 1091-1098
  • 25
    • 0022778687 scopus 로고
    • Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules
    • Keilson, J., L. D. Servi (1986). Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules. J. Appl. Probab. 23 790-802.
    • (1986) J. Appl. Probab. , vol.23 , pp. 790-802
    • Keilson, J.1    Servi, L.D.2
  • 26
    • 0024068882 scopus 로고
    • The analysis of random polling systems
    • Kleinrock, L., H. Levy (1988). The analysis of random polling systems. Oper. Res. 36 716-732.
    • (1988) Oper. Res. , vol.36 , pp. 716-732
    • Kleinrock, L.1    Levy, H.2
  • 28
    • 0040057252 scopus 로고
    • A continuous polling system with general service times
    • Kroese, D. P., V. Schmidt (1992). A continuous polling system with general service times. Ann. Appl. Probab. 2 906-927.
    • (1992) Ann. Appl. Probab. , vol.2 , pp. 906-927
    • Kroese, D.P.1    Schmidt, V.2
  • 29
    • 3543050210 scopus 로고
    • Queueing systems on a circle
    • _, _ (1993). Queueing systems on a circle. Z. Oper. Res. 37 303-331.
    • (1993) Z. Oper. Res. , vol.37 , pp. 303-331
  • 30
    • 21844485721 scopus 로고
    • Single-server queues with spatially distributed arrivals
    • _, _ (1994). Single-server queues with spatially distributed arrivals. Queueing Systems Theory Appl. 17 317-345.
    • (1994) Queueing Systems Theory Appl. , vol.17 , pp. 317-345
  • 31
    • 0000799590 scopus 로고
    • A single-server queue with server vacations and a class of nonrenewal arrival processes
    • Lucantoni, D. M., K. S. Meier-Hellstern, M. F. Neuts (1990). A single-server queue with server vacations and a class of nonrenewal arrival processes. Adv. Appl. Probab. 22 676-705.
    • (1990) Adv. Appl. Probab. , vol.22 , pp. 676-705
    • Lucantoni, D.M.1    Meier-Hellstern, K.S.2    Neuts, M.F.3
  • 32
    • 0000555331 scopus 로고
    • Decomposition formulas for single server queues with vacations: A unified approach by the rate conservation law
    • Miyazawa, M. (1994). Decomposition formulas for single server queues with vacations: A unified approach by the rate conservation law. Stochastic Models 10 389-413.
    • (1994) Stochastic Models , vol.10 , pp. 389-413
    • Miyazawa, M.1
  • 33
    • 0021497924 scopus 로고
    • Stochastic models of internal mail delivery systems
    • Nahimas, S., M. H. Rothkopf (1984). Stochastic models of internal mail delivery systems. Management Sci. 30 1113-1120.
    • (1984) Management Sci. , vol.30 , pp. 1113-1120
    • Nahimas, S.1    Rothkopf, M.H.2
  • 34
    • 0024012453 scopus 로고
    • An interpolation approximation for queueing systems with Poisson input
    • Reiman, M. I., B. Simon (1988a). An interpolation approximation for queueing systems with Poisson input. Oper. Res. 36 454-469.
    • (1988) Oper. Res. , vol.36 , pp. 454-469
    • Reiman, M.I.1    Simon, B.2
  • 35
    • 0001063431 scopus 로고
    • Light traffic limits of sojourn time distributions in Markovian queueing networks
    • _, _ (1988b). Light traffic limits of sojourn time distributions in Markovian queueing networks. Stochastic Models 4 191-233.
    • (1988) Stochastic Models , vol.4 , pp. 191-233
  • 36
    • 0003129184 scopus 로고
    • Open queueing systems in light traffic
    • _, _ (1989). Open queueing systems in light traffic. Math. Oper. Res. 14 26-59.
    • (1989) Math. Oper. Res. , vol.14 , pp. 26-59
  • 38
    • 21144475892 scopus 로고
    • Light traffic for workload in queues
    • Sigman, K. (1992). Light traffic for workload in queues. Queueing Systems Theory Appl. 11 429-442.
    • (1992) Queueing Systems Theory Appl. , vol.11 , pp. 429-442
    • Sigman, K.1
  • 39
    • 0011475985 scopus 로고
    • Calculating light traffic limits for sojourn times in open Markovian queueing systems
    • Simon, B. (1993). Calculating light traffic limits for sojourn times in open Markovian queueing systems. Stochastic Models 9 213-231.
    • (1993) Stochastic Models , vol.9 , pp. 213-231
    • Simon, B.1
  • 41
    • 0002172954 scopus 로고
    • A light-traffic approximation for single-class departure processes from multi-class queues
    • Whitt, W. (1988). A light-traffic approximation for single-class departure processes from multi-class queues. Management Sci. 34 1333-1346.
    • (1988) Management Sci. , vol.34 , pp. 1333-1346
    • Whitt, W.1
  • 42
    • 0024765585 scopus 로고
    • An interpolation approximation for the mean workload in a GI/G/1 queue
    • _ (1989). An interpolation approximation for the mean workload in a GI/G/1 queue. Oper. Res. 37 936-952.
    • (1989) Oper. Res. , vol.37 , pp. 936-952


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.