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Modeling and analysis of a mixed‐model assembly line with stochastic operation times

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  • Xiaobo Zhao
  • Jianyong Liu
  • Katsuhisa Ohno
  • Shigenori Kotani

Abstract

We consider a mixed‐model assembly line (MMAL) comprised a set of workstations and a conveyor. The workstations are arranged in a serial configuration. The conveyor moves at a constant speed along the workstations. Initial units belonging to different models are successively fed onto the conveyor, and they are moved by the conveyor to pass through the workstations to gradually generate final products. All assembling tasks are manually performed with operation times to be stochastic. An important performance measure of MMALs is overload times that refer to uncompleted operations for operators within their work zones. This paper establishes a method to analyze the expected overload times for MMALs with stochastic operation times. The operation processes of operators form discrete time nonhomogeneous Markov processes with continuous state spaces. For a given daily production schedule, the expected overload times involve in analyzing the Markov processes for finite horizon. Based on some important properties of the performance measure, we propose an efficient approach for calculating the expected overload times. Numerical computations show that the results are very satisfactory. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007

Suggested Citation

  • Xiaobo Zhao & Jianyong Liu & Katsuhisa Ohno & Shigenori Kotani, 2007. "Modeling and analysis of a mixed‐model assembly line with stochastic operation times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(6), pages 681-691, September.
    • Handle: RePEc:wly:navres:v:54:y:2007:i:6:p:681-691
    DOI: 10.1002/nav.20241
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    1. Candace Arai Yano & Ram Rachamadugu, 1991. "Sequencing to Minimize Work Overload in Assembly Lines with Product Options," Management Science, INFORMS, vol. 37(5), pages 572-586, May.
    2. Gagnon, R. J. & Ghosh, S., 1991. "Assembly line research: Historical roots, research life cycles and future directions," Omega, Elsevier, vol. 19(5), pages 381-399.
    3. Nick T. Thomopoulos, 1970. "Mixed Model Line Balancing with Smoothed Station Assignments," Management Science, INFORMS, vol. 16(9), pages 593-603, May.
    4. Scholl, Armin, 1995. "Balancing and sequencing of assembly lines," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 9690, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. Ahmet Bolat, 1997. "Efficient methods for sequencing minimum job sets on mixed model assembly lines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(5), pages 419-437, August.
    6. Xiaobo Zhao & Katsuhisa Ohno & Hon‐Shiang Lau, 2004. "A balancing problem for mixed model assembly lines with a paced moving conveyor," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 446-464, April.
    7. Chung-Yee Lee & George L. Vairaktarakis, 1997. "Workforce Planning in Mixed Model Assembly Systems," Operations Research, INFORMS, vol. 45(4), pages 553-567, August.
    8. Sarin, Subhash C. & Erel, Erdal & Dar-El, Ezey M., 1999. "A methodology for solving single-model, stochastic assembly line balancing problem," Omega, Elsevier, vol. 27(5), pages 525-535, October.
    9. Li-Hui Tsai, 1995. "Mixed-Model Sequencing to Minimize Utility Work and the Risk of Conveyor Stoppage," Management Science, INFORMS, vol. 41(3), pages 485-495, March.
    10. Xiaobo, Zhao & Ohno, Katsuhisa, 2000. "Properties of a sequencing problem for a mixed model assembly line with conveyor stoppages," European Journal of Operational Research, Elsevier, vol. 124(3), pages 560-570, August.
    11. J. L. C. Macaskill, 1973. "Computer Simulation for Mixed-Model Production Lines," Management Science, INFORMS, vol. 20(3), pages 341-348, November.
    12. McMullen, Patrick R. & Frazier, Gregory V., 1997. "A heuristic for solving mixed-model line balancing problems with stochastic task durations and parallel stations," International Journal of Production Economics, Elsevier, vol. 51(3), pages 177-190, September.
    13. Yow-yuh Leu & Philip Huang & Roberta Russell, 1997. "Using beam search techniques for sequencing mixed-model assembly lines," Annals of Operations Research, Springer, vol. 70(0), pages 379-397, April.
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