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Optimal batch process admission control in tandem queueing systems with queue time constraint considerations

Published: 09 December 2012 Publication History

Abstract

In this paper, a dynamic control method for two-stage queueing systems with process queue time (PQT) constraints is presented. This queueing system consists of an upstream batch process machine and a downstream single process machine. The waiting time of each job in the downstream queue is constrained by an upper limit. Violation of this upper limit causes scrap of the job. A batch machine poses a problem for the two-stage system under PQT constraints. After completion of batch process, a large quantity of work-in-process (WIP) moves into the downstream queue with PQT constraints. This increases the variance of downstream queue length and the probability of scrap.
In this research, we incorporate dynamic programming algorithm in batch process admission control (BPAC) model. The performance of BPAC model is verified by simulation. Simulation results demonstrate that the proposed BPAC model outperforms other methods in every key system performance indices.

References

[1]
Akcali, E., K. Nemoto, and R. Uzsoy. 2001. "Cycle-Time Improvements for Photolithography Process in Semiconductor Manufacturing." IEEE Transactions on Semiconductor Manufacturing 14(1): 48--56.
[2]
Bernier, V., and Y. Frein. 2004. "Local Scheduling Problems Submitted to Global FIFO Processing Constraints." International Journal of Production Research 42(8): 1483--1504.
[3]
Lippman, S. A. 1975. "Applying a New Device in the Optimization of Exponential Queueing Systems." Operations Research 23(4): 687--710.
[4]
Puterman, M. 1994. Markov Decision Processes: Discrete Stochastic Dynamic Programming. 1st ed. New York: John Willy & Sons, Inc.
[5]
Su, L. H. 2003. "A Hybrid Two-Stage Flowshop with Limited Waiting Time Constraints." Computer & Industrial Engineering 44: 409--424.

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cover image ACM Conferences
WSC '12: Proceedings of the Winter Simulation Conference
December 2012
4271 pages

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Winter Simulation Conference

Publication History

Published: 09 December 2012

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  • Research-article

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WSC '12
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WSC '12: Winter Simulation Conference
December 9 - 12, 2012
Berlin, Germany

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WSC '12 Paper Acceptance Rate 189 of 384 submissions, 49%;
Overall Acceptance Rate 3,413 of 5,075 submissions, 67%

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