Performance Measure in a Probabilistic Re-Entrant Stress Testing Line Using Mean Value Analysis
Suresh Kumar & Mohamed Khaled Omar
This paper presents a modified analytical model based on mean value analysis (MVA) technique and virtual lot clustering method for a probabilistic re- entrant stress testing line. The objective is to determine the total cycle time andthe mean throughput rate of the Power Soak Testing (PST) process for a given number of lots. Using the analytical and simulation method, a five-stage queuing system with re-entrant lines into the second stage under various probabilistic routing conditions are analysed and comparison results are made. The results obtained can be used by operation managers for their decision- making.
Keywords: Probabilistic re-entrant, mean value analysis, virtual lot clustering, total cycle time
 Gross, D. and Harris, C.M. (1998). “Fundamentals of Queueing Theory”. (John Wiley & Sons, Inc., New York, pp. 165-204.
 Halachimi, I., Adan, I.J.B.F., Wal, J.V.D., Heesterbeek, J.A.P. and Beek, P.V. (2000). “The design of robotic diary barns using closed queueing networks”. European Journal of Operational Research 124, 437-446.
 Haskose, A. , Kingsman, B.G. and Worthington, D. (2002). “Modelling flow and jobbing shops as a queuing network for workload control”. International Journal of Production Economics 78, 271-285.
 Kaboudan, M.A. (1998). “A dynamic-server queuing simulation”. Computers & Operations Research 25, 431-439.
 Little, J.D.C. (1961). “A proof for the queueing formula: L = W”. Operations Research 9, 383-387.
 Narahari, Y. and Khan, L.M. (1995). “Performance analysis of scheduling policies re-entrant manufacturing systems”. Computers & Operations Research 23, 37-51.
 Narahari, Y. and Khan, L.M. (1996). “Modeling re-entrant manufacturing systems with inspections”. Journal of Manufacturing Systems 15, 367- 378.
 Narahari, Y. and Khan, L.M. (1998). “Asymptotic loss priority scheduling policies in closed re-entrant lines: A computational study”. European Journal of Operational Research 110, 585-596.
 Papadopoulos, H.T. and Heavey, C. (1996). “Queuing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines”. European Journal of Operational Research 92, 1-27.
 Park, Y., Kim, S. and Jun, C.H. (2002). “Mean value analysis of re-entrant line with batch machines and multiclass jobs”. Computers & Operations Research 29, 1009-1024.
 Reiser, M. and Lavenberg, S.S. (1980). “Mean-value analysis of closed multichain queueing networks”. Journal of the Association for Computing Machinery 27(2), 313-322.
 Roa, S.S., Gunasekaran, A., Goyal, S.K. and Martikainen, T. (1998). “Waiting line model application in manufacturing”. International Journal of Production Economics 54, 1-28. 76 Performance Measure in a Probabilistic
 Sundarraj, R.P., Sundaraghavan, P.S. and Fox, D.R. (1994). “Optimal server acquisition in open queuing networks”. Journal of the Operational Research Society 45(5), 549-558.
 Taylor Enterprise Dynamics (2000). “Taylor ED 2000: User manual-tutorial”. (F&H Simulations B.V, Utrecht, the Netherlands).