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Volumn 11, Issue 2, 2009, Pages 237-253

Scheduling flexible servers with convex delay costs in many-server service systems

Author keywords

Cost minimization in many server queues; Generalized c rule; Heavy traffic limits for queues; Many server queues; Queue and idleness ratio control; Queues; Service systems; Skill based routing

Indexed keywords

COST MINIMIZATION IN MANY-SERVER QUEUES; HEAVY-TRAFFIC LIMITS FOR QUEUES; MANY-SERVER QUEUES; QUEUE-AND-IDLENESS-RATIO CONTROL; QUEUES; SERVICE SYSTEMS; SKILL-BASED ROUTING;

EID: 67649979703     PISSN: 15234614     EISSN: 15265498     Source Type: Journal    
DOI: 10.1287/msom.1070.0211     Document Type: Article
Times cited : (71)

References (22)
  • 1
    • 29144497197 scopus 로고    scopus 로고
    • Dynamic routing in large-scale service systems with heterogenous servers
    • Armony, M. 2005. Dynamic routing in large-scale service systems with heterogenous servers. Queueing Systems 51 (3-4) 287-329.
    • (2005) Queueing Systems , vol.51 , Issue.3-4 , pp. 287-329
    • Armony, M.1
  • 2
    • 14544279564 scopus 로고    scopus 로고
    • Scheduling control for queueing systems with many servers: Asymptotic optimality in heavy traffic
    • Atar, R. 2005. Scheduling control for queueing systems with many servers: Asymptotic optimality in heavy traffic. Ann. Appl. Probab. 15 (4) 2606-2650.
    • (2005) Ann. Appl. Probab , vol.15 , Issue.4 , pp. 2606-2650
    • Atar, R.1
  • 3
    • 11244303067 scopus 로고    scopus 로고
    • Scheduling a multiclass queue with many iid servers: Asymptotic optimality in heavy-traffic
    • Atar, R., A. Mandelbaum, M. Reiman. 2004. Scheduling a multiclass queue with many iid servers: Asymptotic optimality in heavy-traffic. Ann. Appl. Probab. 14 (3) 1084-1134.
    • (2004) Ann. Appl. Probab , vol.14 , Issue.3 , pp. 1084-1134
    • Atar, R.1    Mandelbaum, A.2    Reiman, M.3
  • 4
    • 0032262849 scopus 로고    scopus 로고
    • State space collapse with applications to heavytraffic limits for multiclass queueing networks
    • Bramson, M. 1998. State space collapse with applications to heavytraffic limits for multiclass queueing networks. Queueing Systems 30 (1-2) 89-148.
    • (1998) Queueing Systems , vol.30 , Issue.1-2 , pp. 89-148
    • Bramson, M.1
  • 5
    • 67649975782 scopus 로고    scopus 로고
    • Dynamic control of N-systems with many servers: Asymptotic optimality of a static priority policy in heavy traffic
    • Forthcoming
    • Dai, J. G., T. Tezcan. 2008a. Dynamic control of N-systems with many servers: Asymptotic optimality of a static priority policy in heavy traffic. Oper. Res. Forthcoming.
    • (2008) Oper. Res
    • Dai, J.G.1    Tezcan, T.2
  • 6
    • 50249152331 scopus 로고    scopus 로고
    • Optimal control of parallel server systems with many servers in heavy traffic
    • Forthcoming
    • Dai, J. G., T. Tezcan. 2008b. Optimal control of parallel server systems with many servers in heavy traffic. Queueing Systems. Forthcoming.
    • (2008) Queueing Systems
    • Dai, J.G.1    Tezcan, T.2
  • 7
    • 67649910658 scopus 로고    scopus 로고
    • State space collapse in many server diffusion limits of parallel server systems
    • Forthcoming
    • Dai, J. G., T. Tezcan. 2009. State space collapse in many server diffusion limits of parallel server systems. Math. Oper. Res. Forthcoming.
    • (2009) Math. Oper. Res
    • Dai, J.G.1    Tezcan, T.2
  • 10
    • 41549147211 scopus 로고    scopus 로고
    • Service-level differentiation in call centers with fully flexible servers
    • Gurvich, I., M. Armony A. Mandelbaum. 2008. Service-level differentiation in call centers with fully flexible servers. Management Sci. 54 (2) 279-294.
    • (2008) Management Sci , vol.54 , Issue.2 , pp. 279-294
    • Gurvich, I.1    Armony, M.2    Mandelbaum, A.3
  • 11
    • 0019560371 scopus 로고
    • Heavy-traffic limits for queues with many exponential servers
    • Halfin, S., W Whitt. 1981. Heavy-traffic limits for queues with many exponential servers. Oper. Res. 29 (3) 567-587.
    • (1981) Oper. Res , vol.29 , Issue.3 , pp. 567-587
    • Halfin, S.1    Whitt, W.2
  • 12
    • 0000044386 scopus 로고
    • Brownian models of queueing networks with heterogeneous customer populations
    • W Fleming, P. L. Lions, eds, Springer, New York
    • Harrison, J. M. 1988. Brownian models of queueing networks with heterogeneous customer populations. W Fleming, P. L. Lions, eds. Stochastic Differential Systems, Stochastic Control Theory and Applications. Springer, New York, 147-186.
    • (1988) Stochastic Differential Systems, Stochastic Control Theory and Applications , pp. 147-186
    • Harrison, J.M.1
  • 13
    • 0032147993 scopus 로고    scopus 로고
    • Heavy traffic analysis of a system with parallel servers: Asymptotic optimality of discrete-review policies
    • Harrison, J. M. 1998. Heavy traffic analysis of a system with parallel servers: Asymptotic optimality of discrete-review policies. Ann. Appl. Probab. 8 (3) 822-848.
    • (1998) Ann. Appl. Probab , vol.8 , Issue.3 , pp. 822-848
    • Harrison, J.M.1
  • 14
    • 19744380935 scopus 로고    scopus 로고
    • Dynamic scheduling of a multiclass queue in the Halfin-Whitt heavy traffic regime
    • Harrison, J. M., A. Zeevi. 2004. Dynamic scheduling of a multiclass queue in the Halfin-Whitt heavy traffic regime. Oper. Res. 52 (2) 243-257.
    • (2004) Oper. Res , vol.52 , Issue.2 , pp. 243-257
    • Harrison, J.M.1    Zeevi, A.2
  • 15
    • 0344077776 scopus 로고
    • Resource Allocation Problems: Algorithmic Approaches
    • MIT Press, Cambridge, MA
    • Ibaraki, T, N. Katoh. 1988. Resource Allocation Problems: Algorithmic Approaches. No. 4, Foundations of Computing Series, MIT Press, Cambridge, MA.
    • (1988) Foundations of Computing Series , Issue.4
    • Ibaraki, T.1    Katoh, N.2
  • 16
    • 12344326034 scopus 로고    scopus 로고
    • Scheduling flexible servers with convex delay costs: Heavy-traffic optimality of the generalized cμ-rule
    • Mandelbaum, A., A. Stolyar. 2004. Scheduling flexible servers with convex delay costs: Heavy-traffic optimality of the generalized cμ-rule. Oper. Res. 52 (6) 836-855.
    • (2004) Oper. Res , vol.52 , Issue.6 , pp. 836-855
    • Mandelbaum, A.1    Stolyar, A.2
  • 17
    • 52949126577 scopus 로고    scopus 로고
    • Martingale proofs of manyserver heavy-traffic limits for Markovian queues
    • Pang, G., R. Talreja, W Whitt. 2007. Martingale proofs of manyserver heavy-traffic limits for Markovian queues. Probability Surveys 4 193-267.
    • (2007) Probability Surveys , vol.4 , pp. 193-267
    • Pang, G.1    Talreja, R.2    Whitt, W.3
  • 18
    • 34548670503 scopus 로고    scopus 로고
    • A survey on the continuous nonlinear resource allocation problem
    • Patriksson, M. 2008. A survey on the continuous nonlinear resource allocation problem. Eur. J. Oper. Res. 185 (1) 1-46.
    • (2008) Eur. J. Oper. Res , vol.185 , Issue.1 , pp. 1-46
    • Patriksson, M.1
  • 19
    • 21144467406 scopus 로고
    • A survey of Markov decision models for control of networks of queues
    • Stidham, S. 1993. A survey of Markov decision models for control of networks of queues. Queueing Systems 13 (1-3) 291-314.
    • (1993) Queueing Systems , vol.13 , Issue.1-3 , pp. 291-314
    • Stidham, S.1
  • 20
    • 0000834346 scopus 로고
    • Dynamic scheduling with convex delay costs: The generalized cμ rule
    • Van Mieghem, J. A. 1995. Dynamic scheduling with convex delay costs: The generalized cμ rule. Ann. Appl. Probab. 5 (3) 809-833.
    • (1995) Ann. Appl. Probab , vol.5 , Issue.3 , pp. 809-833
    • Van Mieghem, J.A.1
  • 22
    • 0001855779 scopus 로고
    • Simple ranking methods for the allocation of one resource
    • Zipkin, P. H. 1980. Simple ranking methods for the allocation of one resource. Management Sci. 26 (1) 34-43.
    • (1980) Management Sci , vol.26 , Issue.1 , pp. 34-43
    • Zipkin, P.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.