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Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule

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Cited by:

  1. Gregory Dobson & Tolga Tezcan & Vera Tilson, 2013. "Optimal Workflow Decisions for Investigators in Systems with Interruptions," Management Science, INFORMS, vol. 59(5), pages 1125-1141, May.
  2. Carri W. Chan & Linda V. Green & Suparerk Lekwijit & Lijian Lu & Gabriel Escobar, 2019. "Assessing the Impact of Service Level When Customer Needs Are Uncertain: An Empirical Investigation of Hospital Step-Down Units," Management Science, INFORMS, vol. 65(2), pages 751-775, February.
  3. Heng-Qing Ye & David D. Yao, 2010. "Utility-Maximizing Resource Control: Diffusion Limit and Asymptotic Optimality for a Two-Bottleneck Model," Operations Research, INFORMS, vol. 58(3), pages 613-623, June.
  4. Huiyin Ouyang & Nilay Taník Argon & Serhan Ziya, 2022. "Assigning Priorities (or Not) in Service Systems with Nonlinear Waiting Costs," Management Science, INFORMS, vol. 68(2), pages 1233-1255, February.
  5. Shen, Zuo-Jun Max & Xie, Jingui & Zheng, Zhichao & Zhou, Han, 2023. "Dynamic scheduling with uncertain job types," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1047-1060.
  6. Rezaei Somarin, Aghil & Chen, Songlin & Asian, Sobhan & Wang, David Z.W., 2017. "A heuristic stock allocation rule for repairable service parts," International Journal of Production Economics, Elsevier, vol. 184(C), pages 131-140.
  7. Erhun Özkan & Amy R. Ward, 2019. "On the Control of Fork-Join Networks," Mathematics of Operations Research, INFORMS, vol. 44(2), pages 532-564, May.
  8. Merve Bodur & James R. Luedtke, 2017. "Mixed-Integer Rounding Enhanced Benders Decomposition for Multiclass Service-System Staffing and Scheduling with Arrival Rate Uncertainty," Management Science, INFORMS, vol. 63(7), pages 2073-2091, July.
  9. Zhankun Sun & Nilay Tanık Argon & Serhan Ziya, 2022. "When to Triage in Service Systems with Hidden Customer Class Identities?," Production and Operations Management, Production and Operations Management Society, vol. 31(1), pages 172-193, January.
  10. Amy R. Ward & Mor Armony, 2013. "Blind Fair Routing in Large-Scale Service Systems with Heterogeneous Customers and Servers," Operations Research, INFORMS, vol. 61(1), pages 228-243, February.
  11. Tolga Tezcan & J. G. Dai, 2010. "Dynamic Control of N -Systems with Many Servers: Asymptotic Optimality of a Static Priority Policy in Heavy Traffic," Operations Research, INFORMS, vol. 58(1), pages 94-110, February.
  12. Rami Atar & Eyal Castiel & Martin I. Reiman, 2022. "Parallel server systems in extended heavy traffic," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 277-279, April.
  13. Petar Momčilović & Amir Motaei, 2018. "QED limits for many-server systems under a priority policy," Queueing Systems: Theory and Applications, Springer, vol. 90(1), pages 125-159, October.
  14. Achal Bassamboo & J. Michael Harrison & Assaf Zeevi, 2006. "Design and Control of a Large Call Center: Asymptotic Analysis of an LP-Based Method," Operations Research, INFORMS, vol. 54(3), pages 419-435, June.
  15. Heng-Qing Ye & David D. Yao, 2008. "Heavy-Traffic Optimality of a Stochastic Network Under Utility-Maximizing Resource Allocation," Operations Research, INFORMS, vol. 56(2), pages 453-470, April.
  16. Yichuan Ding & Eric Park & Mahesh Nagarajan & Eric Grafstein, 2019. "Patient Prioritization in Emergency Department Triage Systems: An Empirical Study of the Canadian Triage and Acuity Scale (CTAS)," Manufacturing & Service Operations Management, INFORMS, vol. 21(4), pages 723-741, October.
  17. Zhen Xu & Hailun Zhang & Jiheng Zhang & Rachel Q. Zhang, 2020. "Online Demand Fulfillment Under Limited Flexibility," Management Science, INFORMS, vol. 66(10), pages 4667-4685, October.
  18. Vijay Mehrotra & Kevin Ross & Geoff Ryder & Yong-Pin Zhou, 2012. "Routing to Manage Resolution and Waiting Time in Call Centers with Heterogeneous Servers," Manufacturing & Service Operations Management, INFORMS, vol. 14(1), pages 66-81, January.
  19. Zhenghua Long & Nahum Shimkin & Hailun Zhang & Jiheng Zhang, 2020. "Dynamic Scheduling of Multiclass Many-Server Queues with Abandonment: The Generalized cμ / h Rule," Operations Research, INFORMS, vol. 68(4), pages 1128-1230, July.
  20. Noa Zychlinski, 2023. "Applications of fluid models in service operations management," Queueing Systems: Theory and Applications, Springer, vol. 103(1), pages 161-185, February.
  21. Kuang Xu & Yuan Zhong, 2020. "Information and Memory in Dynamic Resource Allocation," Operations Research, INFORMS, vol. 68(6), pages 1698-1715, November.
  22. Eser Kırkızlar & Sigrún Andradóttir & Hayriye Ayhan, 2012. "Flexible Servers in Understaffed Tandem Lines," Production and Operations Management, Production and Operations Management Society, vol. 21(4), pages 761-777, July.
  23. Hong Chen & Heng-Qing Ye, 2012. "Asymptotic Optimality of Balanced Routing," Operations Research, INFORMS, vol. 60(1), pages 163-179, February.
  24. Jeunghyun Kim & Ramandeep S. Randhawa & Amy R. Ward, 2018. "Dynamic Scheduling in a Many-Server, Multiclass System: The Role of Customer Impatience in Large Systems," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 285-301, May.
  25. Sigrún Andradóttir & Hayriye Ayhan, 2005. "Throughput Maximization for Tandem Lines with Two Stations and Flexible Servers," Operations Research, INFORMS, vol. 53(3), pages 516-531, June.
  26. Melanie Rubino & Barış Ata, 2009. "Dynamic Control of a Make-to-Order, Parallel-Server System with Cancellations," Operations Research, INFORMS, vol. 57(1), pages 94-108, February.
  27. Amy R. Ward & Sunil Kumar, 2008. "Asymptotically Optimal Admission Control of a Queue with Impatient Customers," Mathematics of Operations Research, INFORMS, vol. 33(1), pages 167-202, February.
  28. Junfei Huang & Boaz Carmeli & Avishai Mandelbaum, 2015. "Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback," Operations Research, INFORMS, vol. 63(4), pages 892-908, August.
  29. Itay Gurvich & Ward Whitt, 2009. "Scheduling Flexible Servers with Convex Delay Costs in Many-Server Service Systems," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 237-253, June.
  30. Cong Shi & Yehua Wei & Yuan Zhong, 2019. "Process Flexibility for Multiperiod Production Systems," Operations Research, INFORMS, vol. 67(5), pages 1300-1320, September.
  31. E. Morozov & B. Steyaert, 2013. "Stability analysis of a two-station cascade queueing network," Annals of Operations Research, Springer, vol. 202(1), pages 135-160, January.
  32. Wanyang Dai, 2013. "Optimal Rate Scheduling via Utility-Maximization for J -User MIMO Markov Fading Wireless Channels with Cooperation," Operations Research, INFORMS, vol. 61(6), pages 1450-1462, December.
  33. Rami Atar & Avi Mandelbaum & Gennady Shaikhet, 2009. "Simplified Control Problems for Multiclass Many-Server Queueing Systems," Mathematics of Operations Research, INFORMS, vol. 34(4), pages 795-812, November.
  34. Maury Bramson & Bernardo D’Auria & Neil Walton, 2017. "Proportional Switching in First-in, First-out Networks," Operations Research, INFORMS, vol. 65(2), pages 496-513, April.
  35. Rami Atar & Chanit Giat & Nahum Shimkin, 2010. "The c(mu)/(theta) Rule for Many-Server Queues with Abandonment," Operations Research, INFORMS, vol. 58(5), pages 1427-1439, October.
  36. Tolga Tezcan, 2008. "Optimal Control of Distributed Parallel Server Systems Under the Halfin and Whitt Regime," Mathematics of Operations Research, INFORMS, vol. 33(1), pages 51-90, February.
  37. Alexander L. Stolyar & Tolga Tezcan, 2011. "Shadow-Routing Based Control of Flexible Multiserver Pools in Overload," Operations Research, INFORMS, vol. 59(6), pages 1427-1444, December.
  38. Zhankun Sun & Nilay Tan?k Argon & Serhan Ziya, 2018. "Patient Triage and Prioritization Under Austere Conditions," Management Science, INFORMS, vol. 64(10), pages 4471-4489, October.
  39. Chaithanya Bandi & Nikolaos Trichakis & Phebe Vayanos, 2019. "Robust Multiclass Queuing Theory for Wait Time Estimation in Resource Allocation Systems," Management Science, INFORMS, vol. 65(1), pages 152-187, January.
  40. Itay Gurvich & Ward Whitt, 2009. "Queue-and-Idleness-Ratio Controls in Many-Server Service Systems," Mathematics of Operations Research, INFORMS, vol. 34(2), pages 363-396, May.
  41. Heng-Qing Ye & David D. Yao, 2012. "A Stochastic Network Under Proportional Fair Resource Control---Diffusion Limit with Multiple Bottlenecks," Operations Research, INFORMS, vol. 60(3), pages 716-738, June.
  42. Tuğçe Işık & Sigrún Andradóttir & Hayriye Ayhan, 2016. "Optimal control of queueing systems with non-collaborating servers," Queueing Systems: Theory and Applications, Springer, vol. 84(1), pages 79-110, October.
  43. Carri W. Chan & Mor Armony & Nicholas Bambos, 2016. "Maximum weight matching with hysteresis in overloaded queues with setups," Queueing Systems: Theory and Applications, Springer, vol. 82(3), pages 315-351, April.
  44. J. G. Dai & Tolga Tezcan, 2011. "State Space Collapse in Many-Server Diffusion Limits of Parallel Server Systems," Mathematics of Operations Research, INFORMS, vol. 36(2), pages 271-320, May.
  45. Yun Fong Lim & Bingnan Lu & Rowan Wang & Wenjia Zhang, 2020. "Flexibly Serving A Finite Number of Heterogeneous Jobs in A Tandem System," Production and Operations Management, Production and Operations Management Society, vol. 29(6), pages 1431-1447, June.
  46. Cardinaels, Ellen & Borst, Sem & van Leeuwaarden, Johan S.H., 2022. "Heavy-traffic universality of redundancy systems with assignment constraints," Other publications TiSEM 1ab2791a-b085-466e-8ada-e, Tilburg University, School of Economics and Management.
  47. Joseph M. Milner & Tava Lennon Olsen, 2008. "Service-Level Agreements in Call Centers: Perils and Prescriptions," Management Science, INFORMS, vol. 54(2), pages 238-252, February.
  48. Tom F. Tan & Bradley R. Staats, 2020. "Behavioral Drivers of Routing Decisions: Evidence from Restaurant Table Assignment," Production and Operations Management, Production and Operations Management Society, vol. 29(4), pages 1050-1070, April.
  49. Johannes Muhle-Karbe & Eyal Neuman & Yonatan Shadmi, 2024. "Fluid-Limits of Fragmented Limit-Order Markets," Papers 2407.04354, arXiv.org.
  50. Peng Wang & Kai Pan & Zhenzhen Yan & Yun Fong Lim, 2022. "Managing Stochastic Bucket Brigades on Discrete Work Stations," Production and Operations Management, Production and Operations Management Society, vol. 31(1), pages 358-373, January.
  51. Itai Gurvich & Ward Whitt, 2010. "Service-Level Differentiation in Many-Server Service Systems via Queue-Ratio Routing," Operations Research, INFORMS, vol. 58(2), pages 316-328, April.
  52. Itai Gurvich, 2014. "Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines," Mathematics of Operations Research, INFORMS, vol. 39(1), pages 121-162, February.
  53. Jinting Wang & Zhongbin Wang & Yunan Liu, 2020. "Reducing Delay in Retrial Queues by Simultaneously Differentiating Service and Retrial Rates," Operations Research, INFORMS, vol. 68(6), pages 1648-1667, November.
  54. Tuğçe Işık & Sigrún Andradóttir & Hayriye Ayhan, 2022. "Dynamic Control of Non‐Collaborative Workers When Reassignment Is Costly," Production and Operations Management, Production and Operations Management Society, vol. 31(3), pages 1332-1352, March.
  55. Zhenghua Long & Jiheng Zhang, 2019. "Virtual allocation policies for many-server queues with abandonment," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(3), pages 399-451, December.
  56. Gabriel Zayas‐Cabán & Emmett J. Lodree & David L. Kaufman, 2020. "Optimal Control of Parallel Queues for Managing Volunteer Convergence," Production and Operations Management, Production and Operations Management Society, vol. 29(10), pages 2268-2288, October.
  57. Sunil Kumar & Ramandeep S. Randhawa, 2010. "Exploiting Market Size in Service Systems," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 511-526, September.
  58. Erica L. Plambeck, 2008. "Asymptotically Optimal Control for an Assemble-to-Order System with Capacitated Component Production and Fixed Transport Costs," Operations Research, INFORMS, vol. 56(5), pages 1158-1171, October.
  59. Rami Atar & Subhamay Saha, 2017. "Optimality of the generalized $$\varvec{c\mu }$$ c μ rule in the moderate deviation regime," Queueing Systems: Theory and Applications, Springer, vol. 87(1), pages 113-130, October.
  60. Mor Armony & Amy R. Ward, 2010. "Fair Dynamic Routing in Large-Scale Heterogeneous-Server Systems," Operations Research, INFORMS, vol. 58(3), pages 624-637, June.
  61. Edvinas Greičius & Saulius Minkevičius, 2017. "Diffusion limits for the queue length of jobs in multi-server open queueing networks," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(4), pages 71-84.
  62. Somarin, Aghil Rezaei & Sharma, Pankaj & Tiwari, Sunil & Chen, Songlin, 2023. "Stock reallocation policy for repairable service parts in case of supply disruptions due to extreme weather events," International Journal of Production Economics, Elsevier, vol. 256(C).
  63. Setareh Boshrouei Shargh & Mostafa Zandieh & Ashkan Ayough & Farbod Farhadi, 2024. "Scheduling in services: a review and bibliometric analysis," Operations Management Research, Springer, vol. 17(2), pages 754-783, June.
  64. Ma, Xin & Zhao, Xue & Guo, Pengfei, 2022. "Cope with the COVID-19 pandemic: Dynamic bed allocation and patient subsidization in a public healthcare system," International Journal of Production Economics, Elsevier, vol. 243(C).
  65. Heng-Qing Ye & David D. Yao, 2016. "Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits," Mathematics of Operations Research, INFORMS, vol. 41(4), pages 1161-1207, November.
  66. Zhong, Zhiheng & Cao, Ping, 2023. "Balanced routing with partial information in a distributed parallel many-server queueing system," European Journal of Operational Research, Elsevier, vol. 304(2), pages 618-633.
  67. Seyed M. R. Iravani & Vijayalakshmi Krishnamurthy, 2007. "Workforce Agility in Repair and Maintenance Environments," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 168-184, January.
  68. Wyean Chan & Ger Koole & Pierre L'Ecuyer, 2014. "Dynamic Call Center Routing Policies Using Call Waiting and Agent Idle Times," Manufacturing & Service Operations Management, INFORMS, vol. 16(4), pages 544-560, October.
  69. Sigrún Andradóttir & Hayriye Ayhan & Douglas G. Down, 2007. "Compensating for Failures with Flexible Servers," Operations Research, INFORMS, vol. 55(4), pages 753-768, August.
  70. William P. Millhiser & Charu Sinha & Matthew J. Sobel, 2016. "Optimality of the fastest available server policy," Queueing Systems: Theory and Applications, Springer, vol. 84(3), pages 237-263, December.
  71. Li Xia & Zhe George Zhang & Quan‐Lin Li, 2022. "A c/μ‐Rule for Job Assignment in Heterogeneous Group‐Server Queues," Production and Operations Management, Production and Operations Management Society, vol. 31(3), pages 1191-1215, March.
  72. Jinsheng Chen & Jing Dong & Pengyi Shi, 2020. "A survey on skill-based routing with applications to service operations management," Queueing Systems: Theory and Applications, Springer, vol. 96(1), pages 53-82, October.
  73. Seung Bum Soh & Itai Gurvich, 2017. "Call Center Staffing: Service-Level Constraints and Index Priorities," Operations Research, INFORMS, vol. 65(2), pages 537-555, April.
  74. Chihoon Lee & Amy R. Ward & Heng-Qing Ye, 2020. "Stationary distribution convergence of the offered waiting processes for $$GI/GI/1+GI$$GI/GI/1+GI queues in heavy traffic," Queueing Systems: Theory and Applications, Springer, vol. 94(1), pages 147-173, February.
  75. Silviya Valeva & Guodong Pang & Andrew J. Schaefer & Gilles Clermont, 2023. "Acuity-Based Allocation of ICU-Downstream Beds with Flexible Staffing," INFORMS Journal on Computing, INFORMS, vol. 35(2), pages 403-422, March.
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