THESIS
2017
ix, 59 pages : illustrations ; 30 cm
Abstract
We study a healthcare system of colon assessment, where the government launches a
public-private partnership program. The government makes an offer to the patients, who
are waiting at the public hospital, to receive colonoscopy surgery at the private hospital
with the subsidy. By modeling the healthcare system as a Markov decision process, the
Offer Distribution Model is obtained. We show the optimal policy for the government to
give subsidy offer is a threshold one. When the queue length is greater than the threshold,
the government will provide, while when the queue length is less than the threshold, the
government will not. The threshold is related to the number of subsidy offers available
and the remaining time. As the extension of the primary Offer Distribution Model, we
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We study a healthcare system of colon assessment, where the government launches a
public-private partnership program. The government makes an offer to the patients, who
are waiting at the public hospital, to receive colonoscopy surgery at the private hospital
with the subsidy. By modeling the healthcare system as a Markov decision process, the
Offer Distribution Model is obtained. We show the optimal policy for the government to
give subsidy offer is a threshold one. When the queue length is greater than the threshold,
the government will provide, while when the queue length is less than the threshold, the
government will not. The threshold is related to the number of subsidy offers available
and the remaining time. As the extension of the primary Offer Distribution Model, we
analyze the cases where the government has a budget constraint, and compare the one
by one policy with the all at once policy by numeral experiments. We also formulate a
Subsidy Determination Model using queueing theory, to determine the optimal amount
of grant per offer and the total budget. The Subsidy Determination Model incorporates
the strategic behavior of patients. The patients make decisions on whether to join the
queue or not, by comparing the cost at the public and private hospital.
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