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An Efficient Optimal Solution to the Two-Hoist No-Wait Cyclic Scheduling Problem

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  • Jiyin Liu

    (Business School, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom)

  • Yun Jiang

    (Department of Industrial Engineering, Bilkent University, 06800 Bilkent, Ankara, Turkey)

Abstract

Hoist scheduling is a typical problem in the operation of electroplating systems. The cyclic scheduling policy is widely used in these systems in industry. Research on hoist scheduling has focused on the cyclic problem to minimize the cycle length. Most previous studies consider the single-hoist case. In practice, however, more than one hoist is often used in an electroplating line. This paper addresses the two-hoist, no-wait cyclic scheduling problem, in which the tank-processing times are constants and, upon completion of processing in a tank, the parts have to be moved to the next tank immediately. Based on the analysis of the problem properties, a polynomial algorithm is developed to obtain an optimal schedule. This algorithm first identifies a set of thresholds, which are special values of the cycle length, so that the feasibility property may change only at these thresholds. Feasibility checking is then carried out on each individual threshold in ascending order. The first feasible threshold found will be the optimal cycle length, and the corresponding feasible schedule is an optimal hoist schedule.

Suggested Citation

  • Jiyin Liu & Yun Jiang, 2005. "An Efficient Optimal Solution to the Two-Hoist No-Wait Cyclic Scheduling Problem," Operations Research, INFORMS, vol. 53(2), pages 313-327, April.
    • Handle: RePEc:inm:oropre:v:53:y:2005:i:2:p:313-327
    DOI: 10.1287/opre.1040.0167
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    References listed on IDEAS

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    1. Lei Lei & Tzyh-Jong Wang, 1991. "The Minimum Common-Cycle Algorithm for Cyclic Scheduling of Two Material Handling Hoists with Time Window Constraints," Management Science, INFORMS, vol. 37(12), pages 1629-1639, December.
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    Cited by:

    1. Che, Ada & Chabrol, Michelle & Gourgand, Michel & Wang, Yuan, 2012. "Scheduling multiple robots in a no-wait re-entrant robotic flowshop," International Journal of Production Economics, Elsevier, vol. 135(1), pages 199-208.
    2. Paul, Henrik J. & Bierwirth, Christian & Kopfer, Herbert, 2007. "A heuristic scheduling procedure for multi-item hoist production lines," International Journal of Production Economics, Elsevier, vol. 105(1), pages 54-69, January.
    3. Che, Ada & Chu, Chengbin, 2009. "Multi-degree cyclic scheduling of a no-wait robotic cell with multiple robots," European Journal of Operational Research, Elsevier, vol. 199(1), pages 77-88, November.

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