Abstract
We study a problem arising from surgical operations scheduling and model it as a resource-constrained machine scheduling problem with machine eligibility restriction to minimize the makespan. By decomposing the problem into two sub-problems, we develop effective heuristic algorithms to solve the problem. We test the proposed algorithms on randomly generated instances as well as real data set from a large hospital. The numerical results show the effectiveness and potential practical value of the models and the algorithms.
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Notes
The performance measure is calculated by \(\left( \dfrac{(Value\; of\; the\; Algorithm)}{(Optimal\; Value)}-1\right) \). However, getting optimal values for some instances are too time-consuming, hence for such data groups we use near optimal values with 8 % relative gap. We then use \(\left( \dfrac{(Value\; of\; the\; Algorithm)*1.08}{(Near\; Optimal\; Value)}-1\right) \) to calculate the APG/WPG. The APG/WPG of the data groups with mark * are calculated in this way in Table 4.
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The research is supported in part by National Science Foundation of China (Grants 71125003 and 71421002).
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Wang, S., Su, H. & Wan, G. Resource-constrained machine scheduling with machine eligibility restriction and its applications to surgical operations scheduling. J Comb Optim 30, 982–995 (2015). https://doi.org/10.1007/s10878-015-9860-3
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DOI: https://doi.org/10.1007/s10878-015-9860-3