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A Stochastic Programming Approach for Cyclic Personnel Scheduling with Double Shift Requirement

机译:双班次需求的循环人员调度随机编程方法

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We study cyclic personnel scheduling with double shift requirement under demand uncertainty. The problem is formulated as a two-stage stochastic integer program with integer recourse. Solving it with commercial software CPLEX takes extended period of time. We explore an exact approach based on Benders decomposition technique and compare its performance to a heuristics approach based on genetic algorithm and a mip approach, solving the original problem by a commercial mip solver. A special solution method allow us to obtain optimal solutions to subproblems efficiently. This method are applicable to both exact and heuristic approaches which significantly accelerate overall solution process. Numerical results illustrate that the proposed approach, exact approach based on Benders decomposition technique, outperform the heuristics approach based on genetic algorithm and the CPLEX mip solver in all 16 instances.
机译:研究了需求不确定条件下,具有双班制需求的周期性人员调度问题。该问题被描述为一个具有整数追索权的两阶段随机整数规划。用商业软件CPLEX解决这个问题需要较长的时间。我们探索了一种基于Benders分解技术的精确方法,并将其性能与基于遗传算法和mip方法的启发式方法进行了比较,通过商用mip求解器解决了原始问题。一种特殊的求解方法使我们能够有效地获得子问题的最优解。该方法既适用于精确方法,也适用于启发式方法,可显著加快整个求解过程。数值结果表明,在所有16个实例中,基于Benders分解技术的精确方法都优于基于遗传算法的启发式方法和CPLEX mip求解器。

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