将数学建模引入高等数学教学中的典型案例

首先阐述了将数学建模思想融入高等数学教学内容中的意义,接着从高等数学中的基本概念和基本定理出发,通过具体案例说明如何将数学建模案例融入在高等数学教学中。最后给出了根据高等数学内容选编的典型建模案例。     

Improving an outpatient clinic utilization using decision analysis-based patient scheduling

This study presents a predictive model to be used in scheduling patients in an urban outpatient clinic. The model is based upon actual patient characteristics from a physical therapy clinic within an urban health and wellness center situated in a public university. A number of reported patients' characteristics such as age, education level, distance from the clinic, historical attendance records, etc. were examined to determine if they significantly impacted the patients' missing scheduled appointments (no-shows.) Decision tree analysis was used to develop a model that assessed the likelihood of a patient's no-show, using key patient characteristics and attendance records. Such a model can be used to assist with scheduling patients in an outpatient clinic, while attempting to increase the clinic's overall utilization. Four tree growing criteria were examined to develop the model with the strongest predictive power. Predictive power of each method was assessed by using the entire dataset as well as using split sampling. The results were then compared with those of a Bayesian networks model and a neural networks model. In addition, the trade-off between the selected decision tree model's predictive power versus simplicity of the associated classification rules was examined. We also assessed the impact of various levels of overbooking on the clinic's utilization when using patients' schedules based on the predictive model.     

Modeling and Measuring Economic Reality: Reply to the Reviews

To begin with, we'd like to express our appreciation to our three commentators for their thoughtful and helpful reviews. Like the founders of the subject, we believe, and our reviewers seem to agree, that structural econometrics has the potential to enable us to develop serious working models of how different economies actually operate, and also to tell us something about the changing patterns of their growth and transformation. But both we and our reviewers agree that there is a great deal wrong with the way econometrics is practiced today.     

Moderating Role of Gender in the Relationship between Hotel Service Quality Dimensions and Tourist Satisfaction

Gender has frequently been identified as one of the key attributes and predictors in developing marketing strategy. This study examines the moderating role of gender in the relationship between hotel service quality dimensions and tourist satisfaction with hotel service delivery. The results derived from multi-group structural equation modeling via the AMOS 5.0 computer program revealed that gender significantly moderated the relationship between service quality dimensions and tourist satisfaction with hotel service delivery. Empathy and tangibles both contributed as the most important significant predictors of tourist satisfaction with hotel service delivery for male tourists as opposed to female tourists. It is statistically confirmed that men and women appear to respond to different aspects of a service encounter when making judgments about their satisfaction.     

Electricity supply preferences in Europe: Evidence from subjective well-being data

We use survey data for 139,517 individuals in 25 European countries, 2002–2011, to estimate the relationship between subjective well-being (SWB) and production shares of various electricity generation technologies. The estimated relationships are taken to represent preference relationships over attributes of electricity supply systems (costs, safety, environmental friendliness, etc.). Controlling for a variety of individual and macro-level factors, we find that individuals’ SWB varies systematically and significantly with differences in the electricity mix across countries and across time. Among other results, we find that a greater share of solar & wind power relative to nuclear power and electricity from coal and oil is associated with greater SWB at all levels of income and that the implied preference for solar & wind power over nuclear power has risen drastically after the Fukushima nuclear accident.     

Bridging the Gap Between Strategy and Performance: Using Leadership Style to Enable Structural Elements

Successful leaders create structural elements in order to achieve the performance objectives set forth by organizational strategy. Supply chain oriented structural elements are reflected in an organization's relationships, both within the firm and with supply chain partners. In this research effort, we examine how such structural elements can be created as a means through which to enhance performance. Our hypothesized model is rooted in strategy‐structure‐performance theory and integrates elements of servant leadership theory and social exchange theory to explain how building organizational commitment via servant leadership behaviors can ultimately impact performance. We use a survey method to collect data from 158 motor carriers. The results of our structural equation model support our hypotheses and serve to extend the discussion of supply chain structural elements and the role of leadership style in achieving organizational performance.     

Preference shocks,international frictions,and international business cycles

Replicating the degree of cross-country comovements of macroeconomic aggregates, dynamics of prices and quantities of international trade, and the behavior of consumption and labor remains an important challenge in international business cycle literature. This paper incorporates preference shocks into a standard two-country model in which there exist international frictions, such as costs of transportation and restrictions to international asset trade. Country-specific preference shocks that generate fluctuations in each country's consumption and labor solve the puzzles, except for the discrepancy between theory and data regarding international trade variables. The presence or absence of international frictions plays a limited role in solving the puzzles.     

Random regret minimization for consumer choice modeling: Assessment of empirical evidence

This paper introduces to the field of marketing a regret-based discrete choice model for the analysis of multi-attribute consumer choices from multinomial choice sets. This random regret minimization (RRM) model, which has recently been introduced in the field of transport, forms a regret-based counterpart of the canonical random utility maximization (RUM) paradigm. This paper assesses empirical results based on 43 comparisons reported in peer-reviewed journal articles and book chapters, with the aim of finding out to what extent, when, and how RRM can form a viable addition to the consumer choice modeler's toolkit. The paper shows that RRM and hybrid RRM–RUM models outperform RUM counterparts in a majority of cases, in terms of model fit and predictive ability. Although differences in performance are quite small, the two paradigms often result in markedly different managerial implications due to considerable differences in, for example, market share forecasts.     

Advocacy and political convergence under preference uncertainty

We study the formation of advocacy groups and how they can impact policy outcomes by revealing information about voters׳ preferences to uninformed political candidates. We conduct a laboratory experiment based on a two-candidate spatial electoral competition setting where the policy preferences of voters are (initially) unknown and change over time. In the control treatment candidates learn about the preferred policy of the median voter through the voting outcome of elections. In the advocacy treatments, voters can organize themselves into advocacy groups in order to reveal their policy preferences. We find that voters often overcome the collective action problem of forming an advocacy group. In fact, we observe the formation of both informative advocacy groups, which convey new information, and uninformative advocacy groups, which do not. Overall, advocacy groups significantly speed up the convergence to the preferred policy of the median voter. However, advocacy does not lead to higher earnings as the gains from faster convergence are offset by the costs of group formation.     

When does economic model type become a decisive factor in health technology appraisals? Learning from the expanding treatment options for relapsing–remitting multiple sclerosis

Objectives: Specific economic model types often become de facto standard for health technology appraisal over time. Markov and discrete event simulation (DES) models were compared to investigate the impact of innovative modeling on the cost-effectiveness of disease-modifying therapies (DMTs) in relapsing–remitting multiple sclerosis (RRMS). Fingolimod was compared to dimethyl fumarate (DMF; in highly active [HA] RRMS), alemtuzumab (in HA RRMS) and natalizumab (in rapidly evolving severe RRMS). Comparator DMTs were chosen to reflect different dosing regimens.

Materials and methods: Markov and DES models used have been published previously. Inputs were aligned in all relevant respects, with differences in the modeling of event-triggered attributes, such as relapse-related retreatment, which is inherently difficult with a memoryless Markov approach. Outcomes were compared, with and without different attributes.

Results: All results used list prices. For fingolimod and DMF, incremental cost-effectiveness ratios (ICERs) were comparable (Markov: £4206/quality-adjusted life year [QALY] gained versus DES: £3910/QALY gained). Deviations were observed when long-term adverse events (AEs) were incorporated in the DES (Markov: £25,412 saved/QALY lost, versus DES: £34,209 saved/QALY lost, fingolimod versus natalizumab; higher ICERs indicate greater cost-effectiveness). For fingolimod versus alemtuzumab, when relapse-triggered retreatment was included in the DES, large cost differences were observed (difference between incremental cost is £35,410 and QALY is 0.10).

Limitations: UK payer perspective, therefore societal approach was not considered. Resource utilization and utilities for both models were not derived from the subpopulations; as the focus is on model type, input limitations that apply to both models are less relevant.

Conclusions: Whilst no model can fully represent a disease, a DES allows an opportunity to include features excluded in a Markov structure. A DES may be more suitable for modeling in RRMS for health technology assessment purposes given the complexity of some DMTs. This analysis highlights the capabilities of different model structures to model event-triggered attributes.