Semi-open queuing networks: a review of stochastic models, solution methods and new research areas

References

• Avi-Itzhak, B., and D. P. Heyman. 1973. “Approximate Queuing Models for Multiprogramming Computer Systems.” Operations Research 21 (6): 1212–1230.
   Web of Science ®Google Scholar
• Buitenhek, R. 1998. “Performance Evaluation of Dual Resource Manufacturing Systems”. PhD thesis, Beta Research Institute, University of Twente, Enschede, The Netherlands.
   Google Scholar
• Buitenhek, R., G.-J. van Houtum, and H. Zijm, 2000. “Amva-based Solution Procedures for Open Queueing Networks with Population Constraints.” Annals of Operations Research 93 (1/4): 15–40.
   Web of Science ®Google Scholar
• Chen, H., and D. D. Yao. 2001. Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization. Vol. 46. New York: Springer-Verlag.
   Google Scholar
• Dallery, Y. 1990. “Approximate Analysis of General Open Queuing Networks with Restricted Capacity.” Performance Evaluation 11 (3): 209–222.
   Web of Science ®Google Scholar
• Ekren, B. Y., S. S. Heragu, A. Krishnamurthy, and C. J. Malmborg. 2013. “An Approximate Solution for Semi-open Queueing Network Model of an Autonomous Vehicle Storage and Retrieval System.” IEEE Transactions on Automation Science and Engineering 10 (1): 205–215.
   Web of Science ®Google Scholar
• Ekren, B. Y., S. S. Heragu, A. Krishnamurthy, and C. J. Malmborg. 2014. “Matrix-geometric Solution for Semi-open Queuing Network Model of Autonomous Vehicle Storage and Retrieval System.” Computers & Industrial Engineering 68: 78–86.
   Web of Science ®Google Scholar
• Erlang, A. K. 1909. “The Theory of Probabilities and Telephone Conversations.” Nyt Tidsskrift for Matematik 20 (B):33–39.
   Google Scholar
• Fdida, S., H. G. Perros, and A. Wilk. 1990. “Semaphore Queues: Modeling Multilayered Window Flow Control Mechanisms.” IEEE Transactions on Communications 38 (3): 309–317.
   Web of Science ®Google Scholar
• Gross, D., J. F. Shortle, J. M. Thompson, and C. M. Harris. 2008. Fundamentals of Queueing Theory. Vol. 4. Hoboken, NJ: Wiley.
   Google Scholar
• Harrison, J. M., and V. Nguyen. 1990. “The Qnet Method for Two-moment Analysis of Open Queueing Networks.” Queueing Systems 6 (1): 1–32.
   Google Scholar
• Heragu, S. S., and M. Srinivasan. 2011. “Analysis of Manufacturing Systems via Single-class, Semi-open Queuing Networks.” International Journal of Production Research 49 (2): 295–319.
   Web of Science ®Google Scholar
• Huang, C., and A. Kusiak. 1996. “Overview of Kanban Systems.” International Journal of Computer Integrated Manufacturing 9: 169–189.
   Web of Science ®Google Scholar
• Jia, J., and S. S. Heragu. 2009. “Solving Semi-open Queuing Networks.” Operations Research 57 (2): 391–401.
   Web of Science ®Google Scholar
• Krieg, G. N., and H. Kuhn. 2008. “Performance Evaluation of Two-stage Multi-product Kanban Systems.” IIE Transactions 40 (3): 265–283.
   Web of Science ®Google Scholar
• Krishnamurthy, A., and R. Suri. 2006. “Performance Analysis of Aingle Stage Kanban Controlled Production Systems Using Parametric Decomposition.” Queueing Systems 54 (2): 141–162.
   Web of Science ®Google Scholar
• Krishnamurthy, A., R. Suri, and M. K. Vernon. 2004. “Analysis of a Fork/join Synchronization Station with Inputs From Coxian Servers in a Closed Queuing Network.” Annals of Operations Research 125 (1-4): 69–94.
   Web of Science ®Google Scholar
• Kuehn, P. 1979. “Approximate Analysis of General Queuing Networks by Decomposition.” Communications, IEEE Transactions on 27 (1): 113–126.
   Web of Science ®Google Scholar
• Marie, R. 1980. “Calculating Equilibrium Probabilities for λ(n)/ck/1/n Queues.” Performance Evaluation Review 9 (2): 117–125.
   Google Scholar
• Matthijssen, A. J. 2011. “Patient Transit Simulation.” Master’s thesis, Department of Mechanical Engineering, Eindhoven University of Technology, The Netherlands.
   Google Scholar
• Neuts, M. 1980. Matrix-Geometric Solutions in Stochastic Modeling. Baltimore: The Johns Hopkins University Press.
   Google Scholar
• Pazour, J. A., and D. Roy. 2015. “Analyzing Rental Vehicle Threshold Policies that Consider Expected Waiting Times for Two Customer Classes.” Computers & Industrial Engineering 80: 80–96.
   Web of Science ®Google Scholar
• Reiser, M. 1979. “A Queueing Network Analysis of Computer Communication Networks with Window Flow Control.” IEEE Transactions on Communications 27 (8): 1199–1209.
   Web of Science ®Google Scholar
• Reiser, M. 1981. Admission Delays on Virtual Routes with Window Flow Control. Proceedings of the Performance of Data Communication Systems and their Applications. North-Holland.
   Google Scholar
• Rhee, Y., and H. G. Perros. 1996. “Analysis of an Open Tandem Queueing Network with Population Constraint and Constant Service Times.” European Journal of Operational Research 92 (1): 99–111.
   Web of Science ®Google Scholar
• Roy, D., and R. De Koster. 2012. “Optimal Design of Container Terminal Layout.” Proceedings of International Material Handling Research Colloquium, June 2012; Gardanne, France.
   Google Scholar
• Roy, D., A. Krishnamurthy, S. S. Heragu, and C. J. Malmborg. 2012. “Performance Analysis and Design Trade-offs in Warehouses with Autonomous Vehicle Technology.” IIE Transactions 44 (12): 1045–1060.
   Web of Science ®Google Scholar
• Roy, D., A. Krishnamurthy, S. S. Heragu, and C. J. Malmborg. 2014a. “Stochastic Models for unit-load Operations in Warehouse Systems with Autonomous Vehicles.” Annals of Operations Research. doi:http://dx.doi.org/10.1007/s10479-014-1665-8.
   PubMed Web of Science ®Google Scholar
• Roy, D., A. Krishnamurthy, S. S. Heragu, and C. J. Malmborg. 2014b. “Blocking Effects in Warehouse Systems with Autonomous Vehicles.” IEEE Transactions on Automation Science and Engineering 11 (2): 439–451.
   Web of Science ®Google Scholar
• Satyam, K., and A. Krishnamurthy. 2008. “Performance evaluation of a multi-product system under CONWIP control.” IIE Transactions 40: 252–264.
   Web of Science ®Google Scholar
• Spearman, M. L., and M. A. Zazanis. 1992. “Push and Pull Production Systems: Issues and Comparisons.” Operations Research 40: 521–532.
   Web of Science ®Google Scholar
• Thomasian, A., and P. Bay. 1984. “Analytic Solution of an Integrated Performance Model of a Computer Communication Network with Window Flow Control.” SIGCOMM Computer Communication Review 14 (2): 225–232.
   Google Scholar
• Whitt, W. 1983. “The Queueing Network Analyzer.” Bell System Technical Journal 62 (9): 2779–2815.
   Google Scholar
• Wu, K., and L. McGinnis. 2013. “Interpolation Approximations for Queues in Series.” IIE Transactions 45 (3): 273–290.
   Web of Science ®Google Scholar
• Xiaobo, Z., and Z. Zhou. 1999. “A Semi-open Decomposition Approach for an Open Queueing Network in a General Configuration with a Kanban Blocking Mechanism.” International Journal of Production Economics 60-61: 375–380.
   Web of Science ®Google Scholar
• Xie, H., T. J. Chaussalet, and M. Rees. 2007. “A Semi-open Queueing Network Approach to the Analysis of Patient Flow in Healthcare Systems.” In CBMS’07., 719–724. Maribor: Twentieth IEEE International Symposium on Computer-Based Medical Systems, 2007. CBMS ’07.
   Google Scholar