On pooling in queueing networks

Management Science

Volumn 44, Issue 7, 1998, Pages 971-981

  Mandelbaum, Avishai ^a   Reiman, Martin I ^a  

^a NONE

Author keywords

Economics of Scale; Efficiency; Flexible Server; Service Facility Design; Service Operations; Specialized Server; Stability

Indexed keywords

EFFICIENCY; INDUSTRIAL ECONOMICS; OPERATIONS RESEARCH; VALUE ENGINEERING;

JACKSON NETWORKS;

QUEUEING THEORY;

EID: 0032119036     PISSN: 00251909     EISSN: None     Source Type: Journal    
DOI: 10.1287/mnsc.44.7.971     Document Type: Article

References (39)

1. Adler, P. S., A. Mandelbaum, V. Nguyen, and E. Schwerer, "From Project to Process Management: An Empirically Based Framework for Analyzing Product Development Time," Management Science, 41 (1995), 458-484.
2. Asmussen, S., Applied Probability and Queues, Wiley, New York, 1987.
3. Asmussen, S., O. Nerman, and M. Olsson, Fitting Phase Type Distributions via the EM Algorithm, Preprint ISSN 0347-2809, Chalmers Univ., Goteborg, Sweden, 1994.
4. Baccelli, F. and S. Foss, private communication, 1996.
5. Baskett, F., K. M. Chandy, R. R. Muntz, and F. G. Palacois, "Open, Closed and Mixed Networks of Queues with Different Classes of Customers," J. Assoc. Comput. Mach., 22 (1975), 248-260.
6. Bramson, M., "Instability of FIFO Queueing Network," Ann. Appl. Prob., 4 (1994), 414-431, (correction on p. 952).
7. Brigandi, A. J., D. R. Dargon, M. J. Sheehan, and T. III Spencer, "AT&T's Call Processing Simulator (CAPS): Operational Design for Inbound Call Centers," Interfaces, 24 (1994), 6-28.
8. Burbidge, J. L., "Production Flow Analysis for Planning Group Technology," J. Operations Management, 10 (1991), 5-27.
9. Buzacott, J. A., J. G. Shanthikumar, and D. D. Yao, "Jackson Network Models of Manufacturing Systems," in D. D. Yao (Ed.), Stochastic Modeling and Analysis of Manufacturing Systems, Springer, New York, 1994.
10. _, "Commonalities in Reengineered Business Processes: Models and Issues," Management Sci., 42 (1996), 768-782.
11. Calabrese, J. M., "Optimal Workload Allocation in Open Networks of Multiserver Queues," Management Sci., 38 (1992), 1792-1802.
12. Dai, J. G. and T. G. Kurtz, "A Multiclass Station with Markovian Feed-back in Heavy Traffic," Math. of Oper. Res., 20 (1995), 721-742.
13. Hammer, M., "Reengineering Work: Don't Automate, Obliterate," Harvard Business Rev., July-August 1990, 104-112.
14. _ and J. Champy, Reengineering the Corporation: A Manifesto for Business Revolution, Harper Business, New York, 1993.
15. Harrison, J. M., "A Priority Queue with Discounted Linear Costs," Oper. Res., 23 (1975), 260-269.
16. _, "Dynamic Scheduling of a Multiclass Queue: Discounted Optimality," Oper. Res., 23 (1975), 270-282.
17. Hillier, F. S. and K. L. So, On the Simultaneous Optimization of Server and Work Allocations in Production Line Systems with Variable Processing Times, presented at ORSA/TIMS meeting, Anaheim, CA, 1991.
18. Iglehart, D. L. and W. Whitt, "Multiple Channel Queues in Heavy Traffic, I and II," Adv. in Applied Prob., 2 (1970), 150-177 and 355-364.
19. Jackson, J. R., "Networks of Waiting Lines," Oper. Res., 5 (1957), 518-521.
20. Kelly, F. P., Reversibility and Stochastic Networks, Wiley, New York, 1979.
21. Kleinrock, L., Queueing Systems, Vol. II: Computer Applications, Wiley, New York, 1976.
22. Klimov, G. F., "Time Sharing Service Systems I," Theory of Probability and its Applications, 19 (1974), 532-551.
23. Laws, C. N., "Resource Pooling in Queueing Networks with Dynamic Routing," Adv. Appl. Prob., 24 (1992), 699-726.
24. Loch, C. H., "Operations Management and Reengineering," European Management J., 16 (1998), to appear.
25. Mandelbaum, A., Service Networks: Modelling, Analysis and Inference, workshop on stochastic networks, IMA, Minneapolis, MN, 1994.
26. Neuts, M. F., Matrix-Geometric Solutions in Stochastic Models, Johns Hopkins Univ. Press, Baltimore, MD, 1981.
27. Priore, M. J. and C. F. Sabel, The Second Industrial Divide: Possibilities for Prosperities, Basic Books, New York, 1984.
28. Reiman, M. I., "A Multi-Class Feedback Queue in Heavy Traffic," Adv. Appl. Prob., 20 (1988), 179-207.
29. _, "Some Diffusion Approximations with State Space Collapse," in F. Baccelli and G. Fayolle (Eds.), Modelling and Performance Evaluation Methodology, Springer, New York, 1984.
30. _ and B. Simon, "A Network of Priority Queues in Heavy Traffic: One Bottleneck Station," Queueing Systems, 6 (1990), 33-58.
31. _ and _, "Open Queueing Systems in Light Traffic," Math. Oper. Res., 14 (1989), 26-59.
32. Rothkopf, M. H. and P. Rech, "Perspectives on Queues: Combining Queues is not Always Beneficial," Oper. Res., 35 (1987), 906-909.
33. Schwartz, M., Broadband Integrated Networks, Prentice Hall, Englewood Cliffs, NJ, 1996.
34. Simon, B., "Priority Queues with Feedback," J. Assoc. Comput. Mach., 31 (1984), 134-149.
35. Smith, D. R. and W. Whitt, "Resource Sharing for Efficiency in Traffic Systems," Bell System Tech. J., 60 (1981), 39-55.
36. Stidham, S. Jr., "On the Optimality of Single-server Queueing Systems," Oper. Res., 18 (1970), 708-732.
37. Tcha, D.-W. and S. R. Pliska, "Optimal Control of Single-server Queueing Networks and Multiclass M/G/1 Queues with Feed-back," Oper. Res., 25 (1977), 248-258.
38. Wein, L. M., "Capacity Allocation in Generalized Jackson Networks," O. R. Letters, 8 (1989), 143-146.
39. Whitt, W., "The Queueing Network Analyzer," Bell System Tech. J., 62 (1983), 2779-2815.