Optimization model analysis of the conference preparation problem

This paper addresses the preparation for an international conference in the context of the problem D in the 2009 National University Student Mathematical Modeling Contest. The problem is mainly divided into four modules: predicting the number of participants, booking hotels, renting meeting rooms and renting buses. By comparing primary, secondary, tertiary, and quaternary function fits, we finally obtain that a univariate linear fitting function provided a more accurate estimate for the number of conference participants, which is determined to be 639. Based on the estimate, we aimed to minimize the number of required hotels and the distance between them. By adopting the 0-1 programming and solving it with LINGO software, we get the final hotels: ①②⑤⑦. The specific hotel room arrangements and the number of people accommodated in each hotel can be found in Tables 5 and 6 after collation. In addition, from the perspectives of economy, fairness, convenience and satisfaction of participants, we have analyzed an optimal plan for renting meeting rooms and buses, i.e., 6 meeting rooms ranging in size from 110-160 and 4 buses with 45 seats. As a result, the total cost for one day amounts to 17,600 yuan. The specific allocation of meeting rooms can be found in Table 7, while the bus pick-up and drop-off plan is illustrated in Figure 3.