2011
DOI: 10.1016/j.aml.2011.06.025
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A stochastic dynamic programming approach to decision making in arranged marriages

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Cited by 5 publications
(3 citation statements)
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“…Proposition 2.1 Inspired by the method proposed by Bertsimas and Zhang et al [47][48], in order to further reduce the uncertainty of compensation cost in modeling and improve the computational efficiency, we introduce uncertain budget to reduce the range of uncertain scenario set and optimize the computational results. Simultaneously, we do not need the probability distribution of uncertain parameters, and the decision does not depend on the historical data [49][50]. Therefore, the above model ( 3) is transformed into a robust counterpart model: (4) where z and q g are the dual variables in the dual problem.…”
Section: Methodsmentioning
confidence: 99%
“…Proposition 2.1 Inspired by the method proposed by Bertsimas and Zhang et al [47][48], in order to further reduce the uncertainty of compensation cost in modeling and improve the computational efficiency, we introduce uncertain budget to reduce the range of uncertain scenario set and optimize the computational results. Simultaneously, we do not need the probability distribution of uncertain parameters, and the decision does not depend on the historical data [49][50]. Therefore, the above model ( 3) is transformed into a robust counterpart model: (4) where z and q g are the dual variables in the dual problem.…”
Section: Methodsmentioning
confidence: 99%
“…Even though arranged marriages are common in many parts of the world, the theoretical study of arranged marriages began only with Batabyal [8]. Since then, further work by Batabyal ([9], [10]), Liu [11], and Batabyal and Beladi [12] has examined several relevant issues such as the effect of a stochastic reservation quality level on decision making in arranged marriages, the determination of dowries in arranged marriages, and the ways in which stochastic dynamic programming can shed light on decision making in arranged marriages.…”
Section: Introductionmentioning
confidence: 99%
“…Even though arranged marriages are common in many parts of the world, the theoretical study of arranged marriages began only with Batabyal (1998). Since then, further work by Batabyal (2003Batabyal ( , 2005, Liu (2007), and Batabyal and Beladi (2011) has examined several relevant issues such as the effect of a stochastic reservation quality level on decision making in arranged marriages, the determination of dowries in arranged marriages, and the ways in which stochastic dynamic programming can shed light on decision making in arranged marriages.…”
Section: Introductionmentioning
confidence: 99%