Network of queues modeling in flexible manufacturing systems : a survey
RAIRO - Operations Research - Recherche Opérationnelle, Tome 27 (1993) no. 2, pp. 201-248.
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Hsu, Lie-Fern; Tapiero, Charles S.; Lin, Cinho. Network of queues modeling in flexible manufacturing systems : a survey. RAIRO - Operations Research - Recherche Opérationnelle, Tome 27 (1993) no. 2, pp. 201-248. http://www.numdam.org/item/RO_1993__27_2_201_0/

I. F. Akyldiz, Exact Product Form Solution for Queueing Networks with Blocking, I.E.E.E. Trans. on Computers, 1984, C-36, No. 1.

I. F. Akyldiz and G. Bolch, Mean Value Analysis Approximation for Multiple Server Queueing Networks, Performance Evaluation, 1988, 8, pp. 77-91. | Zbl

M. Alam, D. Gupta, S. I. Ahmad and A. Raouf, Performance Modeling and Evaluation of Flexible Manufacturing Systems Using a Semi-Markov Approach, Manufacturing Research and Technology - Flexible Manufacturing, 1985, A. RAOUF and S. E. AHMAD Eds., Elsevier, Amsterdam.

N. Alberti, U. La Commare and S. Nofo Ladiga, Cost Efficiency: An Index of Operational Performance of Flexible Automated Production Environnents, Proceedings of the Third O.R.S.A./T.I.M.S. Conference on Flexible Manufacturing Systems, 1989, pp. 67-72.

T. Altiok, Approximate Analysis of Exponential Tandem Queues With Blocking, Euro. J. of Operational Research, 1982, 11, pp. 390-398. | Zbl

American Machinist, CAM: An International Comparison, Special report 740, American Machinist, August 1981, pp. 207-226.

L. H. Avonts and L. N. Van Wassenhove, The Part Mix Problem in FMS: a Coupling Between an LP Model and a Closed Queueing Network, Int. J. Prod. Res., 1988, 26, No. 12, pp. 1891-1902.

R. V. Ayres, Future Tends in Factory Automation, Manufacturing Review, 1988, 1, No. 2, pp. 93-103.

F. Baskett, K. M. Chandy, R. R. Muntz and F. G. Palacios, Open, Closed, and Mixed Networks of Queues with Different Classes of Queues with Different Classes of Customers, J.A.C.M., 1975, 22, No. 2, pp. 248-260. | MR | Zbl

G. R. Bitran and A. C. Hax, Disaggregation and Resource Allocation Using Convex Knapsack Problems with Bounded Variable, Management Science, 1981, 7, No.4, pp. 431-441. | MR | Zbl

G. R. Bitran and D. Tirupati, Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference, Management Science, 1988, 34, No. 1, pp. 75-100. | MR | Zbl

P. H. Brill and L. Green, Queues in which Customers Receive Simultaneous Service from a Random Number of Servers: A Systems Point Approach, Management Science, 1984, 30, pp. 51-68. | MR | Zbl

J. A. Buzacott, The Production Capacity of Job Shops with Limited Storage, Int. J. Prod. Res., 1976, 14, No. 5, pp. 597-605.

J. A. Buzacott, Optimal Operating Rules for Automated Manufacturing Systems, I.E.E.E. Transactions on Automatic Control, 1982, AC-27, No. 1, pp. 80-86.

J. A. Buzacott, Modelling Automated Manufacturing Systems, Proceedings of Fall Industrial Engineering Conference, 1983, pp. 130-137.

J. A. Buzacott and D. Gupta, Impact of Flexible Machines Automated Manufacturing Systems, International J. of Flexible Manufacturing Systems, 1992. | Zbl

J. A. Buzacott and J. G. Shanthikumar, Models for Understanding Flexible Manufacturing Systems, A.I.I.E., 1980, 12, No. 4, pp. 339-350.

J. A. Buzacott and J. G. Shanthikumar, On approximate Queueing Models of Dynamic Job Shops, Management Science, 1985, 31, No. 7, pp. 870-887.

J. A. Buzacott and D. D. Yao, Flexible Manufacturing Systems: a Review of Analytical Models, Management Science, 1986a, 32, No. 7, pp. 890-905.

J. A. Buzacott and J. G. Shanthikumar, On Queueing Network Models of Flexible Manufacturing Systems, Queueing Systems, 1986b, 1, pp. 5-27. | MR | Zbl

P. J. Buzen, Computational Algorithms for Closed Queueing Networks with Exponential Servers, Comm. A.C.M., 1973, 16, No. 9, pp. 527-531. | MR | Zbl

P. J. Buzan, Fundamental Laws of Computer System Performance, Proceeding of Int. Symp. on Computer Modeling, Measurement and Evaluation, 1976, pp. 200-210.

C. Cassandras, A Hierarchical Control Scheme for Material Handling Systems, Proceedings of the O.R.S.A./T.I.M.S. Special Interest Conference on FMSs: Operations Research Models and Applications, Ann. Arbor, MI, 1984, pp. 397-402.

J. B. Cavaille and C. Dubois, Heuristic Methods Based on Mean-Value Analysis for Flexible Manufacturing Systems Performance Evaluation, Proceedings of the 21st I.E.E.E. Conference on Decision on Control, 1982, pp. 1061-1065.

K. M. Chandy and D. Newse, Linearizer: A Heuristic Algorithm for Queueing Network Models of Computing Systems, Comm.A.C.M., 1982, 25, No. 2, pp. 126-134.

M. L. Chaudhry and J. G. C. Templeton, A first Course in Bulk Queues, Wiley, New York, 1983. | MR | Zbl

H. Chen, J. M. Harrison, A. Mandelbaum and A. Van Ackere, Empirical Evaluation of a Queueing Network Model for Semiconductor Wafer Fabrication, Operations Research, 1988, 36, No. 2, pp.202-215.

S. Chiamsiri and M. S. Leonard, A Diffusion Approximation for Bulk Queues, Management Science, 1981, 27, pp. 1188-1199. | Zbl

H. C. Co and R. A. Wysk, The Robustness of CAN-Q in Modelling Automated Manufacturing Systems, Int. J. Prod. Res., 1986, 24, No. 6, pp. 1485-1503.

H. C. Co, A. Wu and A. Reisman, A Throughput-Maximizing Facility Planning and Layout Model, Int. J. Prod. Res., 1989, 27, No. 1, pp. 1-12.

R. W. Conway, W. L. Maxwell and L. W. Miller, Theory of Scheduling, Addison-Wesley, New York, 1967. | MR | Zbl

R. Conterno, G. Menga and S. Quaglino, Performance Evaluation of FMS by Heuristic Queueing Network Analysis, I.E.E.E. International Conference on Robotics and Automation, San Francisco, CA., 1986, pp. 959-964.

R. B. Cooper, Introduction to Queueing Theory, MacMillan, New York, 1972. | Zbl

C. Courcoubetis and P. P. Varaiya, Serving Process with Least Thinking Time Maximizes Resource Utilization, I.E.E.E. Automatic Control, 1984, 29, No. 11. | MR | Zbl

D. R. Cox and H. D. Miller, The Theory of Stochastic Processes, 1965, John Wiley and Sons, Inc., NewYork, Chapters 2 and 5. | MR | Zbl

T. B. Crabill, D. Gross and M. J. Magazine, A Classified Bibliography on Research on Optimal Design and Control of Queues, Operations Research, 1977, 25, pp. 219-232. | MR | Zbl

Y. Dallery, On Modeling Flexible Manufacturing Systems Using Closed Queueing, Large Scale System, 1986, 11, No. 2, pp. 109-119.

Y. Dallery, A Queueing Network Model of Flexible Manufacturing Systems Consisting of cells, I.E.E.E. International Conference on Robotics and Automation, 1986, San Francisco, CA., 951-958.

Y. Dallery, and R. David, A New Approach Based on Operational Analysis for Conference Manufacturing Systems Performance Evaluation, Proceedings of 22th I.E.E.E. Conference on Decision and Control, 1983, pp. 1056-1061.

Y. Dalleryand R. David, Operational Analysis of Multiclass Queueing Networks, Proceedings of 25th I.E.E.E. Conference on Decision and Control, 1986, pp. 1728-1732.

Y. Dalleryand Y. Frein, An Efficient Method to Determine the Optimal Configuration of a Flexible Manufacturing Systems, Proceedings of the Secong O.R.S.A./T.I.M.S. Conference on FMSs, 1986, pp. 269-282, Elsevier, Amsterdam. | Zbl

Y. Dallery, T. J. Jawand S. K. Chen, Sequencing in Flexible Manufacturing Systems and Other Short Queueing Length Systems, J. Manufacturing System, 1988, 7, No. 1, pp. 1-8.

Y. Dallery and D. D. Yao, Modeling a System of Flexible Manufacturing Cells, Modeling and Design of FMSs, edited by A. Kusiak, 1986, pp. 289-299, Elsevier, Amsterdam.

L. E. N. Delbrouck, A Feedback Queueing System with Batch Arrivals, Bulk Service and Queue Dependent Service Time, J. Assoc. Compt. Mach., 1970, 17, pp. 314-323. | MR | Zbl

P. J. Denning and J. P. Buzen, The Operational Analysis of Queueing Networks Models, Computing Surveys, 1978, 10, No. 3, pp. 225-261. | Zbl

R. L. Disney and D. Konig, Queueing Networks: A Survey of Their Random Processes, S.I.A.M. Rev., 1985, 27, No. 3, pp. 335-403. | MR | Zbl

B. T. Doshi, Continuous Time Control of the Arrival Process in M/G/1 Queue, Stoch. Proc. and Appl., 1977, 5, pp. 265-284. | MR | Zbl

B. T. Doshi, Vacation Queues, A Survey, Queueing Systems, 1986, 1. | MR | Zbl

A. J. Duncan, Quality Control and Industrial Statistics, 4th ed., 1974, Irwin, Illinois. | MR | Zbl

C. Dupont-Gatelmand, A Survey of Flexible Manufacturing Systems, J. Manufacturing Systems, 1982, 1, No. 1, pp. 1-16

M. P. Fanti, B. Maione, Q. Semeraro and B. Turchiano, International Journal of Systems Science, 1988, 19, No. 11, pp. 2381-2394. | Zbl

W. Feller, An Introduction to Probability Theory and Its Application, 1971, II, 2nd ed. Wiley, New York. | Zbl

F. G. Foster and H. G. Perros, On the Blocking Process in Queue Networks, European J. of Operational Research, 1980, 5, pp. 276-283. | MR | Zbl

B. Fox, Discrete Optimization via Marginal Analysis, Management Science, 1966, 13, No. 2, pp. 210-216. | Zbl

D. P. Gaver, Diffusion Approximations and Models for Certain Congestion Problems, J . Appl. Prob., 1968, 5, pp. 607-623. | MR | Zbl

D. P. Gaver and G. S. Shedler, Approximate Models for Processor Utilization in Multi-Programmed Computer Systems, S.I.A.M. J. Comput., 1973a, 2, pp. 183-192. | Zbl

D. P. Gaver and G. S. Shedler, Processor Utilization in Multiprogramrning Systems via Diffusion Approximations, Operations Research, 1973b, 21, pp. 569-576.

E. Gelenbe, On Approximate Computer System Models, J. Assoc. Comput. Mach., 1975, 22, pp. 261-269. | MR | Zbl

E. Gelenbe, Probabilistic Models of Computer Systems, Part. H: Diffusion Approximations, Waiting Times, and Batch Arrivais, Acta Informatica, 1979, 12, pp. 285-303. | MR | Zbl

R. Gelenbe and G. Pujolle, The Behavior of a Single Queue in a General Queueing Networks, Acta Informatica, 1976, 7, pp. 123-136. | MR | Zbl

E. Gelenbe and G. Pujolle, A Diffusion Model for Multiple Class Queueing Networks, Measuring Modelling and Evaluating Computer Systems, 1977, H. BEILNER and E. GELEBE Eds., North-Holland. | MR

J. C. Gittins and P. Nash, Scheduling, Queues, and Dynamic Allocation Indices, Proc. E.M.S., Prague, 1974, pp. 191-202, Prague, Czech. Academy of Sciences.

W. J. Gordon and G. J. Newell, Cosed Queueing Systems with Exponential Servers, Operations Research, 1967, 75, No. 3, pp. 254-265. | Zbl

L. Green, A Queueing System in which Customers Require a Random Number of Servers, Operations Research, 1980, 28, pp. 1335-1346. | MR | Zbl

D. Gross and C. M. Harris, Fumdamentals of Queueing Theory, John Wiley and Sons, New York, 1974. | MR | Zbl

S. C. Graves and J. Keilson, A Methodology for Studying the Dynamics of Extended Logistic Systems, Naval Res. Logist Quart., 1979, 26, pp. 169-197. | MR | Zbl

S. C. Graves and J. Keilson, Systems Balance for Extended Logistic Systems, Operations Research, 1983, 31, No. 2, pp. 234-249.

A. E. Gray, A. Seidmann and K. E. Stecke, A Synthesis of Decision Models for Tool Management in Automated Manufacturing, Management Science, Forthcoming, 1993.

N. R. Greenwood, Implementing Flexible Manufacturing Systems, Wiley, New York, 1988.

T. G. Gunn, The mechanization of design and manufacturing, Scientific American, Sept. 1982, pp. 115-130.

B. Halachmi and W. R. Franta, A Diffusion Approximation Solution to the G/G/K Queueing System, Computers and Operations Research, 1977, 4, pp. 37-46.

J. Harrison, Dynamic Scheduling of a Multiclass Queue: Discount Optimality, Operations Research, 1975, 23, pp. 260-269. | MR | Zbl

J. Hatvany, World Survey on C.A.M., Butterworths, Kent, U.K., 1983.

R. R. Hildenbrant, Scheduling Flexible Machining Systems Using Mean Value Analysis, Proceedings of 19th I.E.E.E. Conference on Decision and Control, 1980, pp. 701-706.

Y. C. Ho, A Survey of the Perturbation Analysis of Discrete Event Dynamic Systems, Annals of Operations Research, 1985, 3, pp. 393-402. | MR | Zbl

Y. C. Ho and X. Cao, Perturbation Analysis and Optimization of Queueing Networks, Journal of Optimization Theory and Applications, 1983, 40, No. 4, pp. 559-582. | MR | Zbl

G. K. Hutchison, Flexible Manufacturing Systems in the United States, Management Research Center, University of Wisconsin, Milwaukee, 1979.

G. K. Hutchinson and B. E. Wynne, A Flexible Manufacturing System, Industrial Engineering, Dec. 1973, pp. 10-17.

L. F. Hsu and C. S. Tapiero, Quality Control of an Unreliable Flexible Manufacturing System: with Scrapping andInfinité Buffer CapacityInt. J. FMSs, 1989, 1, pp.325-346.

L. F. Hsu and C. S. Tapiero, Inspection of an Unreliable Flexible Manufacturing System: with Repairable Parts and Non-Negligible Inspection Times, Production Planning and Control, 1993.

J. R. Jackson, Networks of Waiting Lines, Operations Research, 1957, 5, No. 2, pp. 518-521. | MR

J. R. Jackson, Jobshop-Like Queueing Systems, Management Science, 1963, 10, No. 1, pp. 131-142.

N. Jeiswal, Priority Queues, Academic Press, NewYork, 1968. | MR | Zbl

M. V. Kalkunte, C. Saring and W. E. Wilhelm, Flexible Manufacturing Systems: a Review of Modeling Approaches for Design, Justification and Operation, Flexible Manufacturing Systems: Methods and Studies, A. KUSIAK Ed., 1986, pp. 3-25, Elsevier, Amsterdam.

A. S. Kapadia and B. P. Hsi, Steady State Waiting Time in a Multicenter Job Shop, Naval Res. Logist. Quart, 1978, 25, pp. 149-154. | Zbl

M. Kamath, R. Suri and J. L. Sanders, Analytical Performance Models for Closed-Loop Flexible Assembly Systems, Int. J. FMSs, 1988, 1, pp. 51-84.

J. S. Kaufman, Blocking in a Shared Resource Environment, I.E.E.E. Trans, on Communications, 1981, Com-29, pp. 1474-1481.

J. Keilson and L. D. Servi, Dynamics of the M/G/l Vacation Model, Operations Research, 1987, 35, pp. 575-582. | MR | Zbl

J. Keilson, Blocking Probabilities for M/G/l Vacation Systems with Occupancy Level Dependent Schedules, Operations Research, Forthcoming. | Zbl

F. P. Kelly, Reversibility and Stochastic Networks, Wiley, New York, 1979. | MR | Zbl

D. G. Kendall, Stochastic Processes Occurring in the Theory of Queues and Their Analysis by the Method of Imbedded Markov Chains, Ann. Math. Statist., 1953, 24, pp. 338-354. | MR | Zbl

A. S. Kiran and R. J. Krason, Automating Tooling in a Flexible Manufacturing System, Industrial Ingineering, April 1988, pp. 52-57.

H. T. Klahorst, Flexible Manufacturing Systems: Combining Elements to Lower Cost, and Flexibility, A.I.I.E., 1981, 13, No. 11, pp. 112-117.

L. Kleinrock, Queueing Systems, 2, Computer Applications, Wiley, New York. | Zbl

G. Klimov, Time Sharing system I, Theor. Probability Appl., 197419, pp. 532-551. | Zbl

J. Kelemeniaand S. B. Gershwin, An Algorithm for the Computer Control of a Flexible Manufacturing System, A.I.I.E., 1983, 15, No. 4, pp. 353-362.

J. Kelemenia and S. B. Gershwin, Flow Optimization in Flexible Manufacturing Systems, Int. J. Prod. Res., 1985, 23, No. 1, pp. 81-96.

H. Kobayashi, Application of the Diffusion Approximation to Queueing Networks. Part I: Equilibrium Queue Distributions, J. Assoc. Comput. Mach., 197421, pp. 316-328. | MR | Zbl

A. G. Konheim and M. Reiser, A Queueing Model with Finite Waiting Room and Blocking, J. Assoc. Comput. Mach., 1976, 23, pp. 328-341. | MR | Zbl

A. B. Konheim and M. Reiser, Finite Capacity Queueing Systems with Applications in Computer Modeling. S.I.A.M. J. Comput., 19787, pp. 210-229. | MR | Zbl

A. E. Krzesinske and A. Grycycling, Improved Linearizer Methods for Queueing Networks with Queue Dependent Centers, A.C.M. SIGMETRICS Conf. Proc., Cambridge, MA, 1984, pp. 41-51.

A. Kusiak, Modeling and Design of FMS, Elsevier, Amsterdam, 1986.

P. J. Kuehn, Approximate Analysis of General Networks by Decomposition, I.E.E.E. Trans. on Commun., 1979a, Com-27, No. 1, pp. 113-126. | Zbl

P. J. Kuehn, Analysis of Switching System Control Structure by Decomposition, Proceeding of 9th International Teletraffic Congress, Spain, 1979 b.

S. S. Lam, Store-and- Forward Requirements in a Packet Switching Network, I.E.E.E. Trans. Commun, 1976, Com-24, pp. 394-403. | Zbl

E. L. Lawler and M. D. Bell, A Method for Solving Discrete Optimization Problems, Operations Research, 1966, 14, No. 3, pp. 1098-1112.

H. F. Lee, M. M. Srinivasanand C. A. Yano, An Algorithm for the Minimum Cost Configuration Problem in Flexible Manufacturing Systems, Int. J. of Flexible manufacturing Systems, Forthcoming.

B. Maione, Q. Semeraro and B. Turchiano, Closed Analytical Formulae for Evaluating Flexible Manufacturing System Performance Measures, Int. J. Prod. Res., 198624, No. 3, pp. 583-592. | Zbl

R. Malhame and K. Boukas, Transcient and Steady-States of Statistical Flow Balance Equations in Manufacturing Systems, Proceedings of the third O.R.S.A./T.I.M.S. Conference on FMSs, 1989, pp. 339-345.

W. G. Marshal, Numerical Performance of Approximate Queueing Formule with Application to Flexible Manufacturing Systems, Annals of Operations Research, 1985, No. 3, pp. 141-152.

R. Marie, An Approximate Analytical Method for General Queueing Networks, I.E.E.E Transactions on Software Engineering, 1979, SE-5, No. 3, pp. 530-541. | MR | Zbl

J. Meilijsonand U. Yechiali, On Optimal Right of Way Policies at a Single Server Station when Insertion of Idle Times is Permitted, Stochastic Processes and Applications, 1977, 6, pp. 25-32. | MR | Zbl

B. Melamed, On Reversibility of Queuing Networks, Stoch. Proc, Appl., 1982, 3, pp. 227-236. | MR | Zbl

G. Menga, B. Bruno, R. Conterno and M. A. Dato, Modeling FMS by Closed Queuing Network Analysis Methods, I.E.E.E. on Components, Hybrids, and Manufacturing Technology, 1984, BHMT-7, No. 3, 241-248.

F. R. Moore, Computational Model of a Closed Queueing Network with Exponential Servers, IBM J.R. and D., 1972, 16, Dec., pp. 567-581. | Zbl

P. M. Morse, Queues, Inventories and Maintenance, Wiley, New York, 1963.

S. S. Nair and M. F. Neuts, A Priority Rule Based on the Ranking of the Service Times for M/GI Queues, Operations Research, 1969, 17, No. 2, pp. 446-473. | Zbl

S. S. Nair and M. F. Neuts, An exact Comparison of Waiting Times Under Three Priority Rules, Operations Research., 1971, 19, No. 2, pp. 414-423. | MR | Zbl

V. Nandkeolyar and D. P. Christy, Evaluating the Design of Flexible Manufacturing Systems, Int. J. of Flexible Manufacturing Systems, 1992.

P. Naor, On the Regulation of Queue Size by Levying Tolls, Econometrica, 1969, 27, pp. 15-24. | Zbl

P. Nash and R. R. Weber, Dominant Strategies in Stochastic Allocation and Scheduling Problems, in Deterministic and Stochastic Scheduling, Ed., DORDRECHT The Netherlands, Reidel, 1982, pp. 343-353. | MR | Zbl

E. D. Neuse and K. M. Chandy, SCAT: A Heuristic Algorithm for Queueing NetworkModels of Computing Systems, A.C.M. SIGMETRICS Conf. Proc. 10, 1981, No. 3, pp. 59-79.

G. F. Newell, Application of Queueing Theory, Chapman and Hall, London, 1971, Chapter 6. | MR | Zbl

G. F. Newell, Approximate Behavior of Tandem Queues, Springer-Verlag, Berlin, 1980. | MR | Zbl

M. Pennotti and M. Schwartz, Congestion Control in Store and Forward Tandem Links, I.E.E.E. Trans. Commun., 1975, Com-23, pp. 1434-1443.

H. G. Perros, Queueing Networks with Blocking: A Bibliograhy, Performance Evaluation Review, 1984, 12, pp. 8-12 | Zbl

N. U. Prabhu, Queues and Inventories, Wiley, NewYork, 1965. | MR | Zbl

G. Pujolle and W. Ai, A Solution for Multiserver and Multiclass Open Queueing Networks, INFOR, 1986, 24, No. 3, pp. 221-230. | Zbl

M. Reiser and H. Kobayashi, Accuracy of Diffusion Approximation of Some Queueing Systems, IBM J. of R. and D., 1974, 8, Mardi, pp. 114-124. | MR | Zbl

M. Reiser and S. S. Lavenberg, Mean Value Analysis of Closed Multichain Queueing Networks, Comm. A.C.M., 1980, 27, No. 2, pp. 313-322. | MR | Zbl

I. Rubin, Path Delays in Communication Networks, Appl. Math. Optimiz., 1975, 1, 3, pp. 193-221. | MR | Zbl

M. S. Sabbagh, A General Lexicographic Partial Enumeration Algorithm forthe Solution of Integer Nonlinear Programming Problems, Ph. D. dissertation, the School of Engineering and Applies Science, George Washington University, 1983.

C. H. Sauer and K. M. Chandy, Approximate Analysis of Central Server Models, IBM J. Res. Develop., 1975, 19, pp. 301-313. | Zbl

L. E. Schrage, A Proof of Optimality on the Shortest Remaining Processing Time Discipline, Operations Research, 1968, 16, pp. 687-690. | Zbl

L. E. Schrage, An Alternative Proof of a Conservation Law for the Queue G/G/l, Operations Research, 1970, 18, pp. 185-187. | MR | Zbl

L. E. Schrage, Random Results in Scheduling: Implications of Queueing Theory for Scheduling, Lecture note, University of Chicago, 1974.

L. E. Schrage and L. W. Miller, The Queue M/G/l with the Shortest Remaining Processing Time Discipline, Operations Research, 1966, 14, pp. 670-683. | MR | Zbl

P. J. Schweittzer, Iterative Solution of the Functional Equations of Undiscounted Markov Renewal Programming, J . Mathematical Analysis and Applications, 1971, 34, No. 3, pp. 495-501. | MR | Zbl

P. J. Schweitzer, Maximum Throughput in Finited Capacity Open Queueing Networks with Product-Form Solutions, Management Science, 1977, 24, No. 2, pp. 217-223. | Zbl

P. J. Schweitzer, Approximate Analysis of Multiclass Closed Networks of Queue, International Conference of Stochastic Control and Optimization, Free University, Amsterdam, 1979.

P. J. Schweitzer and A. Seidmann, Production Rate Optimization for FMSs with Distinct Multiple Job Visits to Work Centers, Int. J. of Flexible Manufacturing Systems, Forthcoming.

A. Seidmann, One-Line Scheduling of Flexible Manufacturing Cell with Stochastic Sequence-Dependent Processing Rates, Int. J. Prod. Res., 1987, 25, No. 6, pp. 907-924. | Zbl

P. J. Schweitzer and S. Shalev Oren, Computerized Close Queueing Network Models of Flexible Manufacturing Systems: A Comparative Evaluation, Large Scale Systems, 1987, 12, No. 2, pp. 91-107. | MR | Zbl

P. J. Schweitzer and P. F. Schweitzer, Part Selection Policy for a Flexible Manufacturing Cell Feeding Several Production Lines, A.I.I.E., 1984, 16, No. 4, pp. 355-362.

P. J. Schweitzer and A. Tenenbaum, Optimal Stochastic Scheduling of Flexible Manufacturing Systems with Finite Buffers, Proceedings of the Second O.R.S.A/T.I.M.S. Conference on FMSs, Elsevier, Amsterdam, 1986.

K. C. Sevick, A. I. Levy, S. K. Tripathi and J. L. Zahorjan, Improving Approximations of Aggregated Queueing Network Subsystems, Cornp. Performance Modeling Measurement and Evaluation, 1977.

S. Shalev-Oren, A. Seidmann and P. J. Schweitzer, Analysis of Flexible Manufacturing Systems with Priority Scheduling: PMVA, Annals of Operations Research, 1985, 3, pp. 115-139.

J. G. Shanthikumar, On Reducing Time Spent in M/G/I Systems, E.U.R.. J. Operations Research, 1982, 9, pp. 286-294. | Zbl

J. G. Shanthikumar, Comparison of Dispatch Polices for a Single Server Queueing Model with Limited Operational Control, Int. J. Prod. Res., 1984, 22, No. 3, pp. 389-403. | Zbl

J. G. Shanthikumar and M. Gocmen, Heuristic Analysis of Closed Queueing Networks, Int. J. Prod. Res., 198321, No. 5, pp. 675-681. | Zbl

J. G. Shanthikumar and J. A. Buzacott, On the Approximation to the Single Server Queue, Int. J. Prod. Res., 1980, 18, No. 6, pp. 255-263.

J. G. Shanthikumar and J. A. Buzacott, 1981, Open Queueing Network Models of Dynamic Job Shops, Int. J. Prod. Res., 1981, 19, No. 3, pp. 255-266.

J. G. Shanthikumar and J. A. Buzacott, The Time Spent in a Dynamic Job Shop, EURO J. Operations Research, 1984, 17, pp. 215-216. | Zbl

J. G. Shanthikumar and K. E. Stecke, Reducing Work-in-Process Inventory in Certain Classes of Flexible Manufacturing Systems, EURO J. Operations Research, 1986, 26, pp. 266-271. | Zbl

J. G. Shanthikumar and R. G. Sargent, A Unifying View of Hybrid Simulation Analytic Models and Modelin, Operations Research, 1983, 31, No. 6, pp. 1030-1053. | Zbl

J. G. Shanthikumar and D. D. Yao, Stochastic Monotonicity of the Queue Lengths in Closed Queueing Networks, Operations Research, 1987a, 35, No. 4, pp. 583-588. | MR | Zbl

J. G. Shanthikuma and D. D. Yao, Optimal Server Allocation in a System of Multi-Server Stations, Management Science, 1987b, 33, No. 9, pp. 1173-1180. | MR | Zbl

J. G. Shanthikumar and D. D. Yao, On Server Allocation in Multiple Center Manufactturing Systems, Operations Reseach, 1988, 36, No. 2, pp. 333-342. | MR | Zbl

A. Shum and J. P. Buzen, The E.P.F. Technique: A Method for Obtaining Approximate Solutions to Closed Queueing Networks with General Service Times, Measuring, Modeling and Evaluating Computer Systems, BEILNER and E. GELENBE Ed., North-Holland, 1977.

D. R. Smith and W. Whitt, Resource Sharing for Efficiency in Traffic Systems, Bell System Tech. J., 1981, 60, pp. 39-55. | MR | Zbl

M. L. Smith, R. Ramesh, R. A. Duder and E. E. Blair, Characteristic of U.S. Flexible Manufacturing Systems - a Survey, Proceedings of the second O.R.S.A./T.I.M.S. Conference en FMSs, 1986, pp. 447-485, Elsevier, Amsterdam.

K. T. So, Allocating Buffer Storage in a Flexible Manufacturing SystemInst. J. FMSs, 1989, 1, No. 3, pp. 223-237.

J. J. Solberg, A Mathematical Model of Computerized Manufacturing Systems, 4th International Conference on Production Research, Tokyo, 1977.

P. Solot and J. M. Bastos, MULTIQ: a Queueing Model for FMSs with Several Pallet Types, Journal of the Operational Research Society, 1988, 39, No. 9, pp. 811-821.

M. M. Srinivasan, On Extending the Scope of Bounding Techniques for Close Queueing Networks, Large Scale Systems, 19871987, 12, No. pp. 125-142. | MR | Zbl

J. Spragins, Analytical Queueing Models: Guest Editor's Introduction, I.E.E.E. Transactions on Computers, 1980, 13, 4, pp. 9-11.

K. E. Stecke, Formulation and Solution of Nonlinear Integer Production Planning Problems for Flexible Manufacturing System, Management Science, 1983, 29, No. 3, pp. 273-288. | Zbl

K. E. Stecke, Desigh, Planning, Scheduling, and Control Problems of Flexible Manufactturing System, Proceedings of the First O.R.S.A./T.I.M.S. Special Interest Conference on Flexible Manufacturing Systems: Operations Research Models and Applications, Ann Arbor, Michigan, 1984.

K. E. Stecke, Useful Models to Address FMS Operating Problems, Proceedings of the I.F.I.P. Conference, Advances in Production Management Systems, Budapest, Hungary, 1985.

K. E. Stecke, A Hierarchical Approach to Solving Machine Grouping and Loading Problems of Flexible Manufacturing Systems, EJOR, 1986, 26, pp. 212-243. | Zbl

K. E. Steckeand T. L. Morin, The Optimality of Balancing Workloads in Certain Types of Flexible Manufacturing Systems, EURO J. Operations Research, 1985, 25, pp. 68-82. | Zbl

K. E. Stecke ans J. J. Solberg, Loading and Control Policies fora Flexible Manufacturing System, Int. J. Prod. Res., 1981, 19, No. 5, pp. 481-490.

K. E. Steckeand J. J. Solberg, The Optimality of Unbalancing Both Workloads and Machine Group Sizes in Closed Grueueing Networks of Multiserver Queues, Operations Research, 1985, 33, No. 4, pp. 882-910. | Zbl

S. Stidham, Socially and Individually Optimal Control of Arrivals to a GI/M/1 Queue, Management Science, 1978, 24, pp. 1598-1610. | MR | Zbl

S. Stidham, Optimal Control of Admission to a Queueing System, I.E.E.E. Trans. On Automatic Control, 1985, AC-30, pp. 705-713. | MR | Zbl

R. Suri, Resource Management in Large Systems, PHD, Thesis, Harvard, Division of Applied Science, 1979. | Zbl

R. Suri, An Overview of Evaluative Models for Flexible Manufacturing Systems, Annals of Operations Research, 1985, 3, pp. 61-69.

R. Suri and R. R. Hildebrant, Modelling Flexible Manufacturing Systems Using Mean-Values Analysis, J. Manufacturing System, 19843, No. 1, pp.27-38.

Takagi, Polling Systems, MIT Press, Cambridge, Mass, 1986.

Takagi, Blocking when Service is Required from Several Facilities Simultaneously, A.T.T. Tech. J., 1985, 64, pp. 1807-1856. | MR | Zbl

J. Talavage, R. G. Hannan, FMSS in Practice, Application, Design, and Simulation, Marcel Dekker Inc., NewYork, 1988.

C. S. Tapieroand L. F. Hsu, Quality Control of an Unreliable Random FMS: with Bernoulli and CSP SamplingInt. J. Prod. Res., 1988, 26, No. 6, pp. 1125-1135.

H. Thomas, Flexible Manufacturing Systems: Combining Elements to Lower Costs and Flexibility, A.I.I.E., 1981, Nov., pp. 113-116.

N. M. Van Dijk, Comment on Yao and Buzacotts' Modeling a Class of Flexible Manufacturing Systems With Reversible Routing, Operations Research, 198937, No. 5, pp. 845-846. | Zbl

A. J. Van Looveren, L. F. Geldersand L. N. Van Wassenhove, A Review of FMS Planning Models, Modeling and Design of FMSs, A. KUSIAK Ed., 1986, pp. 3-31, Elsevier, Amsterdam.

B. Vinod and T. Altiok, Approximating Unreliable Queueing Networks Under the Assumption of Exponentiality, J. Opl. Res. Soc., 1986, 37, No. 3, pp. 309-316. | Zbl

B. Vinod and T. C. John, On Optimal Capacities for Repair Facilities in Flexible Manufacturing SystemsFlexible Manufacturing Systems: Methods and Studies, A. KUSIAK Ed., 1986, pp. 61-73, Elsevier, North-Holland.

N. Vinod and M. Sabbagh, Optimal Performance Analysis of Manufacturing Systems Subject to Tool Availability, E.U.R.O. J. Operations Reseach, 1986, 24, pp.398-409. | Zbl

B. Vinod and J. J. Solberg, Performance Models for Unreliable Flexible Manufacturing Systems, OMEGA, 1984, 12, No. 3, pp. 299-308.

T. R. Willemain, Approximate Analysis of a Hierarchical Queueing Network, Operations Research, 1972, 20, pp. 522-544. | Zbl

W. L. Winston, Assignment of Customers to Servers in a Heterogeneous Queueing System with Switching, Operations Research, 1977a, 25, pp. 468-483. | MR | Zbl

W. L. Winston, Optimal Dynamic Rules for Assigning Customers to Servers in a Heterogeneous Queueing System, Naval Research Logistics, 1977 b, 24, pp. 293-300. | MR | Zbl

W. L. Winston, Optimality of the Shortest Line Discipline, J. Appl. Prob., 14, pp. 181-189. | MR | Zbl

W. Whitt, The Queueing Network Analyzer, Bell System Tech. J., 1983a, 62, No. 9, pp. 2779-2815.

W. Whitt, Performance of Queueing Network AnalyzerBell system Tech. J., 1983b, 63, No. 9, pp. 2817-2843.

W. Whitt, Approximations to Departure Processes and Queues in Series, Naval Res. Logist. Quart., 1984, 31, pp. 499-521. | MR | Zbl

W. Whitt, The Best Order of Queues in Series, Management Science, 1985, 31, No. 3, pp. 475-487. | MR | Zbl

D. D. Yao, Queueing Models of Flexible Manufacturing Systems. Ph. D. dissertation, Dept., of I.E., University of Toronto, Canada, 1983.

D. D. Yao, Some Properties of the Throughput Function of Closed Networks of Queue, OR Letters, 1985, 3, No. 6, pp. 313-317. | MR | Zbl

D. D. Yao, An Optimal Storage Model for a Flexibles Manufacturing System, Flexible Manufacturing Systems: Methods and Studies, A. KUSIAK Ed., 1986, pp. 113-125.

D. D. Yao, Majorization and Arrangement Orderings in Open Queueing Networks, Annals of Operations Research, 1987, 9, pp. 531-543.

D. D. Yao, The Arrangemet of Servers in an Ordered-Entry System, Operations Research, 1987, 35, No. 5, pp. 759-763. | MR | Zbl

D. D. Yao and J. A. Buzacott, Modelling the Performance of Flexible Manufacturing SystemsInt. J. Prod. Res., 1985a, 23, No. 5, pp. 945-959. | Zbl

D. D. Yao and J. A. Buzacott, Queueing Models for a Flexible Machining StationPart I: The Diffusion Approximation Part II: The Method of Coxian Phases, Eur. J. Operations Research, 1985b, 19, pp. 232-252. | MR | Zbl

D. D. Yao and J. A. Buzacott, Modeling a Class of State-Dependent Routing, Annals of Operations Research, 1985c, 3, pp. 153-167.

D. D. Yao and J. A. Buzacott, The Exponentialization Approach to Flexible Manufacturing System Models with General Processing Times, E.U.R. J. Operations Research, 1986a, 24, pp. 410-416. | Zbl

D. D. Yao, J. A. Buzacott, Models of Flexible Manufacturing Systems with Limited Local Buffers, Int. J. Prod. Res., 1986b, 24, No. 1, pp. 107-118. | Zbl

D. D. Yao and J. A. Buzacott, Modeling a Class of Flexible Manufacturing Systems with Reversible Routing, Operations Research, 1987, 35, No. 1, pp. 87-93. | MR | Zbl

D. D. Yao and G. Shanthikumar, Some Resource Allocation Problems in Multi-Celle Systems, Proceedings of the Second O.R.S.A./T.I.M.S. Conference on FMSs, 1986, pp. 245-255.

D. D. Yao and G. Shanthikumar, The Optimal Input Rates to a System of Manufacturing Cells, INFOR, 1987, 25, No. 1, pp. 57-65. | Zbl

D. D. Yaoand S. K. Kim, Some Order Relations in Closed Metworks of Queues with Multiserver Stations, Naval Res. Logis., 1987, 34, pp. 53-66. | MR | Zbl

U. Yechiali, On Optimal Balking Rules and Toll Charges in a GI/M/1 Queueing Process, Operations Research, 1971, 19, pp. 349-370. | MR | Zbl