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Formula selection and scheduling for precast concrete production

机译:预制混凝土生产的配方选择和调度

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This paper considers the precast production problem with identical parallel molds. To produce precast elements, multiple processes including mold preparing, concrete mixing, curing, stripping and finishing must be completed in a mold. Some processes require an additional resource shared among molds. All the processing times arc constant except the curing time, which increases when using a more expensive concrete mixing formula. Given a demand and a production lime frame, this paper proposes a heuristics to select concrete formulas and schedule jobs to minimise the total product cost. A mixed integer programming (MIP) model is formulated to solve for the optimal solutions. The results demonstrate that the proposed heuristics finds the same optimal solutions as obtained from the MIP model but with many orders of magnitude less than computational times. In the problems where the MIP model cannot find the optimal solutions due to the problem complexity, the proposed heuristics can find feasible solutions that are within 3% differences for 4-mold problems and 9.5% differences for 8-mold problems from the approximate lower bound solutions and only uses less than a few seconds of computational time.
机译:本文考虑了相同平行模具的预制生产问题。为了生产预制件,必须在模具中完成包括模具准备,混凝土搅拌,固化,剥离和精加工在内的多个过程。一些过程需要模具之间共享额外的资源。除了固化时间,所有处理时间都是恒定的,而固化时间在使用更昂贵的混凝土搅拌配方时会增加。考虑到需求和生产石灰框架,本文提出了一种启发式方法,以选择具体的配方并安排工作以最小化总产品成本。制定了混合整数规划(MIP)模型以求解最佳解决方案。结果表明,所提出的启发式方法可以找到与从MIP模型获得的最优解决方案相同的最优解决方案,但是比计算时间少很多数量级。在由于问题复杂性而导致MIP模型无法找到最佳解的问题中,所提出的启发式方法可以从近似下限中找到4模问题的差异在3%之内,而8模问题的差异在9.5%之内的可行解决方案解决方案,只使用不到几秒钟的计算时间。

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