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A I I E Transactions Volume 9, 1977 - Issue 2
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Original Articles

The Output of A Two-Stage System with Unreliable Machines and Limited Storage

Edward Ignall Operations Research Columbia University, New York, New York, 10027
&
Alvin Silver P.E. A. Silver Associates, East Northport, New York, 11731
Pages 183-188 | Received 01 Nov 1975, Published online: 09 Jul 2007

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E Yavari & T Roeder. (2012) Model enrichment: concept, measurement, and application. Journal of Simulation 6:2, pages 125-140.
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Anwarul Aziz, Farshad Jarrahi & Walid Abdul-Kader. (2010) Modeling and Performance Evaluation of a Series-parallel Flow Line System with Finite Buffers. INFOR: Information Systems and Operational Research 48:2, pages 103-120.
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Jingshan Li, Dennis E. Blumenfeld, Ningjian Huang & Jeffrey M. Alden. (2009) Throughput analysis of production systems: recent advances and future topics. International Journal of Production Research 47:14, pages 3823-3851.
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Min Xu, Walid Abdul-Kader & Ozhand Ganjavi. (2009) Cycle Time Estimation of a Multiple Product Production Line: An Approach With Fuzzy and Chance-Constrained Programming. INFOR: Information Systems and Operational Research 47:2, pages 93-103.
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TULLIO TOLIO, ANDREA MATTA & S.B. GERSHWIN. (2002) Analysis of two-machine lines with multiple failure modes. IIE Transactions 34:1, pages 51-62.
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ALAIN PATCHONG & DIDIER WILLAEYS. (2001) Modeling and analysis of an unreliable flow line composed of parallel-machine stages. IIE Transactions 33:7, pages 559-568.
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KEUN-CHAE JEONG & YEONG-DAE KIM. (1999) An approximation method for performance analysis of assembly/disassembly systems with parallel-machine stations. IIE Transactions 31:4, pages 391-394.
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MEHMET SAVSAR. (1996) Stochastic modelling of an integrated pulp and paper factory with intermediate storage. International Journal of Systems Science 27:12, pages 1251-1264.
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TAYFUR ALTIOK & RAGHAV RANJAN. (1995) Multi-stage, pull-type production/inventory systems. IIE Transactions 27:2, pages 190-200.
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ROHIT BHATNAGAR & PANKAJ CHANDRA. (1994) VARIABILITY IN ASSEMBLY AND COMPETING SYSTEMS: EFFECT ON PERFORMANCE AND RECOVERY. IIE Transactions 26:5, pages 18-31.
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GEORGE TSIOTRAS, HUSSEIN BADR & ED BELTRAMI. (1991) Blocking Probabilities for a Class of Two-Station Tandem Queueing Models. IIE Transactions 23:4, pages 331-345.
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FREDERICKS. HILLIER & KUTC. SO. (1991) The effect of machine breakdowns and interstage storage on the performance of production line systems. International Journal of Production Research 29:10, pages 2043-2055.
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TOSHIROU IYAMA & TAKESHI ODAWARA. (1989) Two allocation methods for buffer storage in split automatic transfer lines. International Journal of Production Research 27:10, pages 1705-1714.
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WallaceJ. Hopp, Niranjan Pati & PhilipC. Jones. (1989) Optimal inventory control in a production flow system with failures. International Journal of Production Research 27:8, pages 1367-1384.
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CHRISTOSP. KOULAMAS. (1989) Optimal buffer space size in two-stage machining systems with Markovian or non-Markovian tool life processes. International Journal of Production Research 27:7, pages 1167-1178.
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DANIEL SIPPER & REUVEN SHAPIRA. (1989) JIT vs. WIP— a trade-off analysis. International Journal of Production Research 27:6, pages 903-914.
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M.A. Jafari & J.G. Shanthikumar. (1987) Exact and Approximate Solutions to Two-Stage Transfer Lines with General Uptime and Downtime Distributions. IIE Transactions 19:4, pages 412-420.
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PETER KUBAT & USHIO SUMITA. (1985) Buffers and backup machines in automatic transfer lines. International Journal of Production Research 23:6, pages 1259-1270.
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BhabaR. Sarker. (1984) Some Comparative and Design Aspects of Series Production Systems. IIE Transactions 16:3, pages 229-239.
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MEHMET SAVSAR & WILLIAME. BILES. (1984) Two-stage production lines with a single repair crew. International Journal of Production Research 22:3, pages 499-514.
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Tayfur Altiok & Shaler Stidham$suffix/text()$suffix/text(). (1983) The Allocation of Interstage Buffer Capacities in Production Lines. IIE Transactions 15:4, pages 292-299.
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JohnL. Bryant & RichardA. Murphy. (1981) Availability Characteristics of an Unbalanced Buffered Series Production System With Repair Priority. A I I E Transactions 13:3, pages 249-257.
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StanleyB. Gershwin & Oded Berman. (1981) Analysis of Transfer Lines Consisting of Two Unreliable Machines with Random Processing Times and Finite Storage Buffers. A I I E Transactions 13:1, pages 2-11.
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J.G. Shanthikumar. (1980) On the Production Capacity of Automatic Transfer Lines with Unlimited Buffer Space. A I I E Transactions 12:3, pages 273-274.
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Kenjiro Okamura & Hajime Yamashina. (1979) Justification for Installing Buffer Stocks in Unbalanced Two Stage Automatic Transfer Lines. A I I E Transactions 11:4, pages 308-312.
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Y. C. HO, M. A. EYLER & T. T. CHIEN. (1979) A gradient technique for general buffer storage design in a production line. International Journal of Production Research 17:6, pages 557-580.
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W. E. WILHELM & T. SASTRI. (1979) An investigation of flow line operating characteristics during start-up. International Journal of Production Research 17:4, pages 345-358.
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A.L. Soyster, J.W. Schmidt & M.W. Rohrer. (1979) Allocation of Buffer Capacities for a Class of Fixed Cycle Production Lines. A I I E Transactions 11:2, pages 140-146.
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J. Wijngaard. (1979) The Effect of Interstage Buffer Storage on the Output of Two Unreliable Production Units in Series, with Different Production Rates. A I I E Transactions 11:1, pages 42-47.
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J.A. Buzacott & L.E. Hanifin. (1978) Models of automatic transfer lines with inventory banks a review and comparison. A I I E Transactions 10:2, pages 197-207.
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Yasmine Alaouchiche, Yassine Ouazene & Farouk Yalaoui. (2022) A fast and efficient analytical method for throughput evaluation of unreliable series-parallel production lines. Journal of Industrial and Management Optimization 0:0, pages 0-0.
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Yang Li, Qing Chang, Guoxian Xiao & Jorge Arinez. (2015) Data-Driven Analysis of Downtime Impacts in Parallel Production Systems. IEEE Transactions on Automation Science and Engineering 12:4, pages 1541-1547.
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Semyon M. Meerkov & Chao-Bo Yan. (2015) Cellular Production Lines With Asymptotically Reliable Bernoulli Machines: Lead Time Analysis and Control. IEEE Transactions on Automation Science and Engineering 12:2, pages 764-768.
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Semyon M. Meerkov & Chao-Bo Yan. (2013) Cellular production lines with asymptotically reliable Bernoulli machines: Performance analysis and lead time control. Cellular production lines with asymptotically reliable Bernoulli machines: Performance analysis and lead time control.
Chao-Bo Yan & Qianchuan Zhao. (2013) A Unified Effective Method for Aggregating Multi-Machine Stages in Production Systems. IEEE Transactions on Automatic Control 58:7, pages 1674-1687.
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Marcello Colledani & Tullio Tolio. (2009) Performance evaluation of transfer lines with general repair times and multiple failure modes. Annals of Operations Research 182:1, pages 31-65.
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M. Kuroda & T. Tomita. (2005) Robust design of a cellular-line production system with unreliable facilities. Computers & Industrial Engineering 48:3, pages 537-551.
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J. Li. (2005) Overlapping Decomposition: A System-Theoretic Method for Modeling and Analysis of Complex Manufacturing Systems. IEEE Transactions on Automation Science and Engineering 2:1, pages 40-53.
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J. Li. (2004) Modeling and Analysis of Manufacturing Systems With Parallel Lines. IEEE Transactions on Automatic Control 49:10, pages 1824-1829.
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Kenneth Sörensen & Gerrit K. Janssens. (2004) Automatic Petri Net Simulation Model Generation for a Continuous Flow Transfer Line with Unreliable Machines. Quality and Reliability Engineering International 20:4, pages 343-362.
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Kenneth Sörensen & Gerrit K Janssens. (2004) A Petri net model of a continuous flow transfer line with unreliable machines. European Journal of Operational Research 152:1, pages 248-262.
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H.T. Papadopoulos & C. Heavey. (1996) Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines. European Journal of Operational Research 92:1, pages 1-27.
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Yves Dallery & Stanley B. Gershwin. (1992) Manufacturing flow line systems: a review of models and analytical results. Queueing Systems 12:1-2, pages 3-94.
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Paul A. Jensen, Ramakrishnan Pakath & James R. Wilson. (1991) Optimal buffer inventories for multistage production systems with failures. European Journal of Operational Research 51:3, pages 313-326.
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J.-T. Lim, S.M. Meerkov & F. Top. (1990) Homogeneous, asymptotically reliable serial production lines: theory and a case study. IEEE Transactions on Automatic Control 35:5, pages 524-534.
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H.G Perros. (1989) A bibliography of papers on queueing networks with finite capacity queues. Performance Evaluation 10:3, pages 255-260.
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Frederick S. Hillier & Kut C. So. (1989) The assignment of extra servers to stations in Tandem Queueing systems with small or no buffers. Performance Evaluation 10:3, pages 219-231.
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J.A. Buzacott. (1989) Queueing models of Kanban and MRP controlled production systems. Engineering Costs and Production Economics 17:1-4, pages 3-20.
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J.-T. Lim, S.M. Meerkov & F. Top. (1989) Homogeneous, asymptotically reliable serial production lines: theory and case study. Homogeneous, asymptotically reliable serial production lines: theory and case study.
R.P. Mohanty, D. Dey & R.V. Kulkarni. (1989) A computer algorithm for determining optimal buffer size in a serial flow production system. Computers & Industrial Engineering 16:1, pages 75-86.
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X Ma & A K Kochhar. (2006) Prediction of the System Efficiency of Balanced Automatic Transfer Lines. Proceedings of the Institution of Mechanical Engineers, Part B: Management and engineering manufacture 202:1, pages 51-59.
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H. G. Perros. (1984) Queueing networks with blocking. ACM SIGMETRICS Performance Evaluation Review 12:2, pages 8-12.
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Jessica O. Matson & John A. White. (1982) Operational research and material handling. European Journal of Operational Research 11:4, pages 309-318.
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S.S. Law & V.C. Venkatesh. (1982) A Generalized Simulator for Automatic Transfer Line Systems. CIRP Annals 31:1, pages 359-364.
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Richard C. Wilson. Capacity Planning and Productivity—A Tutorial. Capacity Planning and Productivity—A Tutorial.
B. Lev & D. I. Toof. (2006) The role of internal storage capacity in fixed cycle production systems. Naval Research Logistics Quarterly 27:3, pages 477-487.
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