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Volumn 38, Issue 1, 2006, Pages 199-220

Optimality of randomized trunk reservation for a problem with a single constraint

Author keywords

Admission control; Lagrangian optimization; Queue; Semi Markov decision process; Trunk reservation

Indexed keywords

COMPUTATIONAL COMPLEXITY; LAGRANGE MULTIPLIERS; LINEAR PROGRAMMING; MATHEMATICAL MODELS; OPTIMIZATION; PROBABILITY; QUEUEING THEORY;

EID: 33646085780     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1143936147     Document Type: Article
Times cited : (10)

References (28)
  • 1
    • 2342463476 scopus 로고    scopus 로고
    • Applications of Markov decision processes in telecommunication networks
    • eds E. Feinberg and A. Schwartz, Kluwer, Boston, MA
    • Altman, E. (2002). Applications of Markov decision processes in telecommunication networks. In Handbook of Markov Decision Processes, eds E. Feinberg and A. Schwartz, Kluwer, Boston, MA, pp. 480-536.
    • (2002) Handbook of Markov Decision Processes , pp. 480-536
    • Altman, E.1
  • 2
    • 0035439618 scopus 로고    scopus 로고
    • On optimal call admission control in a resource-sharing system
    • Altman, E., Jimenez, T. and Koole, G. (2001). On optimal call admission control in a resource-sharing system. IEEE Trans. Commun. 49, 1659-1668.
    • (2001) IEEE Trans. Commun. , vol.49 , pp. 1659-1668
    • Altman, E.1    Jimenez, T.2    Koole, G.3
  • 3
    • 0032025186 scopus 로고    scopus 로고
    • Admission policies in loss queueing models with heterogeneous arrivals
    • Carrizosa, E., Conde, E. and Munoz-Márquez, M. (1998). Admission policies in loss queueing models with heterogeneous arrivals. Manag. Sci. 44, 311-320.
    • (1998) Manag. Sci. , vol.44 , pp. 311-320
    • Carrizosa, E.1    Conde, E.2    Munoz-Márquez, M.3
  • 4
    • 0017466168 scopus 로고
    • A classified bibliography of research on optimal design and control of queues
    • Crabili, T. B., Gross, D. and Magazine, M. J. (1977). A classified bibliography of research on optimal design and control of queues. Operat. Res. 25, 219-232.
    • (1977) Operat. Res. , vol.25 , pp. 219-232
    • Crabili, T.B.1    Gross, D.2    Magazine, M.J.3
  • 5
    • 0000049211 scopus 로고
    • Constrained semi-Markov decision processes with average rewards
    • Feinberg, E. A. (1994). Constrained semi-Markov decision processes with average rewards. Z. Operat. Res. 39, 257-288.
    • (1994) Z. Operat. Res. , vol.39 , pp. 257-288
    • Feinberg, E.A.1
  • 6
    • 0036995228 scopus 로고    scopus 로고
    • Constrained finite continuous-time Markov decision processes with average rewards
    • (December 2002, Las Vegas)
    • Feinberg, E. A. (2002). Constrained finite continuous-time Markov decision processes with average rewards. In Proc. IEEE 2002 Conf. Decisions Control (December 2002, Las Vegas), pp. 3805-3810.
    • (2002) Proc. IEEE 2002 Conf. Decisions Control , pp. 3805-3810
    • Feinberg, E.A.1
  • 7
    • 4043163559 scopus 로고    scopus 로고
    • Continuous time discounted jump Markov decision processes: A discrete-event approach
    • Feinberg, E. A. (2004). Continuous time discounted jump Markov decision processes: a discrete-event approach. Math. Operat. Res. 29, 492-524.
    • (2004) Math. Operat. Res. , vol.29 , pp. 492-524
    • Feinberg, E.A.1
  • 8
    • 28544445999 scopus 로고    scopus 로고
    • On essential information in sequential decision processes
    • Feinberg, E. A. (2005). On essential information in sequential decision processes. Math. Meth. Operat. Res. 62, 399-410.
    • (2005) Math. Meth. Operat. Res. , vol.62 , pp. 399-410
    • Feinberg, E.A.1
  • 9
    • 84974177891 scopus 로고
    • Optimality of randomized trunk reservation
    • Feinberg, E. A. and Reiman, M. I. (1994). Optimality of randomized trunk reservation. Prob. Eng. Inf. Sci. 8, 463-489.
    • (1994) Prob. Eng. Inf. Sci. , vol.8 , pp. 463-489
    • Feinberg, E.A.1    Reiman, M.I.2
  • 11
    • 0031260683 scopus 로고    scopus 로고
    • Optimization via trunk reservation in single resource loss systems under heavy traffic
    • Hunt, P. J. and Laws, C. N. (1997). Optimization via trunk reservation in single resource loss systems under heavy traffic. Ann. Appl. Prob. 7, 1058-1079.
    • (1997) Ann. Appl. Prob. , vol.7 , pp. 1058-1079
    • Hunt, P.J.1    Laws, C.N.2
  • 12
    • 0001089052 scopus 로고
    • Routing and capacity allocation in networks with trunk reservation
    • Kelly, F. P. (1990). Routing and capacity allocation in networks with trunk reservation. Math. Operat. Res. 15, 771-793.
    • (1990) Math. Operat. Res. , vol.15 , pp. 771-793
    • Kelly, F.P.1
  • 13
    • 84971164241 scopus 로고
    • Optimal control and trunk reservation in loss networks
    • Key, P. (1990). Optimal control and trunk reservation in loss networks. Prob. Eng. Inf. Sci. 4, 203-242.
    • (1990) Prob. Eng. Inf. Sci. , vol.4 , pp. 203-242
    • Key, P.1
  • 14
    • 0035613394 scopus 로고    scopus 로고
    • Average optimal policies in a controlled queueing system with dual admission control
    • Lewis, M. E. (2001). Average optimal policies in a controlled queueing system with dual admission control. J. Appl. Prob. 38, 369-385.
    • (2001) J. Appl. Prob. , vol.38 , pp. 369-385
    • Lewis, M.E.1
  • 15
    • 0033464432 scopus 로고    scopus 로고
    • Bias optimality in a queue with admission control
    • Lewis, M. E., Ayhan, H. and Foley, R. D. (1999). Bias optimality in a queue with admission control. Prob. Eng. Inf. Sci. 13, 309-327.
    • (1999) Prob. Eng. Inf. Sci. , vol.13 , pp. 309-327
    • Lewis, M.E.1    Ayhan, H.2    Foley, R.D.3
  • 16
    • 0035998638 scopus 로고    scopus 로고
    • Bias optimal admission policies for a nonstationary multiclass queueing system
    • Lewis, M. E., Ayhan, H. and Foley, R. D. (2002). Bias optimal admission policies for a nonstationary multiclass queueing system. J. Appl. Prob. 39, 20-37.
    • (2002) J. Appl. Prob. , vol.39 , pp. 20-37
    • Lewis, M.E.1    Ayhan, H.2    Foley, R.D.3
  • 17
    • 3242801091 scopus 로고    scopus 로고
    • Admission control with incomplete information of a queueing system
    • Lin, K. Y. and Ross, S. M. (2003). Admission control with incomplete information of a queueing system. Operat. Res. 51, 645-654.
    • (2003) Operat. Res. , vol.51 , pp. 645-654
    • Lin, K.Y.1    Ross, S.M.2
  • 18
    • 3242776956 scopus 로고    scopus 로고
    • Optimal admission control for a single-server loss queue
    • Lin, K. Y. and Ross, S. M. (2004). Optimal admission control for a single-server loss queue. J. Appl. Prob. 41, 535-546.
    • (2004) J. Appl. Prob. , vol.41 , pp. 535-546
    • Lin, K.Y.1    Ross, S.M.2
  • 19
    • 0016533472 scopus 로고
    • Applying a new device in the optimization of exponential queuing systems
    • Lippman, S. A. (1975). Applying a new device in the optimization of exponential queuing systems. Operat. Res. 23, 687-710.
    • (1975) Operat. Res. , vol.23 , pp. 687-710
    • Lippman, S.A.1
  • 21
    • 0000696160 scopus 로고
    • A queueing reward system with several customer classes
    • Miller, B. L. (1969). A queueing reward system with several customer classes. Manag. Sci. 16, 235-245.
    • (1969) Manag. Sci. , vol.16 , pp. 235-245
    • Miller, B.L.1
  • 22
    • 84974040531 scopus 로고
    • Optimality of trunk reservation in overflow process
    • Nguyen, V. (1991). Optimality of trunk reservation in overflow process. Prob. Eng. Inf. Sci. 5, 369-390.
    • (1991) Prob. Eng. Inf. Sci. , vol.5 , pp. 369-390
    • Nguyen, V.1
  • 23
    • 0000333213 scopus 로고    scopus 로고
    • The dynamic and stochastic knapsack problem with deadlines
    • Papastavrou, J. D., Rajagopalan, S. and Kleywegt A. J. (1996). The dynamic and stochastic knapsack problem with deadlines. Manag. Sci. 42, 1706-1718.
    • (1996) Manag. Sci. , vol.42 , pp. 1706-1718
    • Papastavrou, J.D.1    Rajagopalan, S.2    Kleywegt, A.J.3
  • 24
    • 4444254029 scopus 로고    scopus 로고
    • Bicriteria optimization of a queue with a controlled input stream
    • Piunovskiy, A. B. (2004). Bicriteria optimization of a queue with a controlled input stream. Queueing Systems 48, 159-184.
    • (2004) Queueing Systems , vol.48 , pp. 159-184
    • Piunovskiy, A.B.1
  • 25
    • 0032376084 scopus 로고    scopus 로고
    • A critically loaded multirate link with trunk reservation
    • Puhalskii, A. A. and Reiman, M. I. (1998). A critically loaded multirate link with trunk reservation. Queueing Systems 28, 157-190.
    • (1998) Queueing Systems , vol.28 , pp. 157-190
    • Puhalskii, A.A.1    Reiman, M.I.2
  • 27
    • 0025483139 scopus 로고
    • Monotonicity properties for the stochastic knapsack
    • Ross, K. W. and Yao, D. D. (1990). Monotonicity properties for the stochastic knapsack. IEEE Trans. Inf. Theory 36, 1173-1179.
    • (1990) IEEE Trans. Inf. Theory , vol.36 , pp. 1173-1179
    • Ross, K.W.1    Yao, D.D.2
  • 28
    • 0022102468 scopus 로고
    • On optimal control of admission to a queueing system
    • Stidham, S., Jr. (1985). On optimal control of admission to a queueing system. IEEE Trans. Automatic Control 30, 705-713.
    • (1985) IEEE Trans. Automatic Control , vol.30 , pp. 705-713
    • Stidham Jr., S.1


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