2016
DOI: 10.1016/j.cor.2016.04.017
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Stochastic programming analysis and solutions to schedule overcrowded operating rooms in China

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Cited by 31 publications
(12 citation statements)
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“…In this technique, the main mathematical model is decomposed into two (or multiple) smaller formulations which are wellknown as master and sub-problems, and instead of solving the main model, these smaller models are solved in an iterative approach which is more efficient (see Birge and Louveaux (1997) for the stepwise and detailed descriptions). Five decades after the introduction of the method, the classic approach and its extensions have been widely applied in various applications including ORs management problems (Denton and Gupta, 2003;Denton, Viapiano, & Voglet, 2007Batun, Denton, Huschka, & Schaefer, 2011;Xiao, van Jaarsveld, Dong, & van de Klundert, 2016;Riise, Mannino, & Lamorgese, 2016;Roshanaei et al, 2017a,b;etc.). In this study, we apply a Benders' decomposition technique enriched with some valid inequalities, proposed in the literature to augment the relation between master and sub-problem and to improve the performance of the technique, as a solution approach.…”
Section: Solution Methods For the Stochastic/uncertain Mathematical Formulationsmentioning
confidence: 99%
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“…In this technique, the main mathematical model is decomposed into two (or multiple) smaller formulations which are wellknown as master and sub-problems, and instead of solving the main model, these smaller models are solved in an iterative approach which is more efficient (see Birge and Louveaux (1997) for the stepwise and detailed descriptions). Five decades after the introduction of the method, the classic approach and its extensions have been widely applied in various applications including ORs management problems (Denton and Gupta, 2003;Denton, Viapiano, & Voglet, 2007Batun, Denton, Huschka, & Schaefer, 2011;Xiao, van Jaarsveld, Dong, & van de Klundert, 2016;Riise, Mannino, & Lamorgese, 2016;Roshanaei et al, 2017a,b;etc.). In this study, we apply a Benders' decomposition technique enriched with some valid inequalities, proposed in the literature to augment the relation between master and sub-problem and to improve the performance of the technique, as a solution approach.…”
Section: Solution Methods For the Stochastic/uncertain Mathematical Formulationsmentioning
confidence: 99%
“…It is worth noting that to elevate the performance of the customary and standard BD algorithm and to cover the drawback of poor approximation of , (especially early in the algorithm), we take benefit from valid inequalities stemming from Jensen inequality (Jensen, 1906). In this regard, we add set of constraints (D3)-(D6) which are based on the average value of the surgery duration as proposed in Batun et al (2011) and Xiao et al (2016) to the master problem.…”
Section: Tablementioning
confidence: 99%
“…Although uncertainty optimizations can handle this type of problem, precise probability distributions of the uncertain parameters are required. [7][8][9][10] These are usually very time-consuming and expensive to obtain. The interval analysis method has been widely used to address parameter uncertainties in engineering.…”
Section: Introductionmentioning
confidence: 99%
“…While this number focuses on adult cases, the fact remains that a majority of elective surgeries were affected by COVID-19, alluding to an unprecedented increase in cancellations and/or delays of both adult and pediatric surgeries. The medical dollars, hours and personnel wasted in delaying or canceling a case can be avoided by instituting the perioperative surgical home (PSH), especially during the new emergence of COVID-19, and with other chronic illnesses on the rise (i.e., obesity, diabetes) [2].…”
mentioning
confidence: 99%