scholarly journals Effective Optimisation of the Patient Circuits of an Oncology Day Hospital: Mathematical Programming Models and Case Study

Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 62
Author(s):  
Adrián González-Maestro ◽  
Elena Brozos-Vázquez ◽  
Balbina Casas-Méndez ◽  
Rafael López-López ◽  
Rosa López-Rodríguez ◽  
...  

In this paper, we first use the information we have on the patients of an oncology day hospital to distribute the treatment schedules they have in each of the visits to this centre. To do this, we propose a deterministic mathematical programming model in such a way that we minimise the duration of the waiting room stays of the total set of patients and taking into account the restrictions of the circuit. Secondly, we will look for a solution to the same problem under a stochastic approach. This model will explicitly consider the existing uncertainty in terms of the different times involved in the circuit, and this model also allows the reorganisation of the schedules of medical appointments with oncologists. The models are complemented by a tool that solves the problem of assigning nurses to patients. The work is motivated by the particular characteristics of a real hospital and the models are used and compared with data from this case.

2009 ◽  
Vol 43 (3) ◽  
pp. 71-77 ◽  
Author(s):  
Chien-Chang Chou

AbstractIn the international trade cargo logistics system, the port choice of the shipper is seen to depend not only on transportation costs, but also on the value of the cargoes being shipped. In many previous studies, researchers have assumed that the ultimate aim of shippers when making port choices was to minimize inland freight costs. They then used that assumption to develop mathematical programming models for port choices. In practice, however, when making decisions about port choices, shippers always focus on total logistics costs. In other words, shippers not only aim to minimize the inland freight costs but also consider the frequency of ship callings. Thus, in this paper, a mathematical programming model for port choice of shippers, which not only considers inland freight costs but also takes into account the frequency of ship callings, is proposed and tested using a Taiwanese port case. The results show that the model proposed in this paper can be used to explain the actual port choice behaviors of Taiwanese shippers accurately.


2012 ◽  
Vol 52 (No. 2) ◽  
pp. 51-66 ◽  
Author(s):  
P. Havlík ◽  
F. Jacquet ◽  
Boisson J-M ◽  
S. Hejduk ◽  
P. Veselý

BEGRAB_PRO.1 – a mathematical programming model for BEef and GRAssland Biodiversity PRoduction Optimisation – elaborated for analysis of organic suckler cow farms in the Protected Landscape Area White Carpathians, the Czech Republic, is presented and applied to the analysis of jointness between several environmental goods. In this way, the paper complements recent studies on jointness between commodities and non-commodities. If these goods are joint in production, agri-environmental payments must be carefully designed because they do not influence only production of the environmental good they are intended for but also the production of other environmental goods. If jointness is negative, any increase in the payment for an environmental good leads to a decrease in production of other environmental goods.


2013 ◽  
Vol 4 (5) ◽  
pp. 236-241
Author(s):  
Yin-Yann Chen ◽  
Hsiao-Yao Fan .

A multi-site order fulfillment-planning model for the thin film transistor–liquid crystal display (TFT-LCD) panel industry is proposed. The order allocation problem is solved using a mathematical programming model considering practical characteristics, including product structures, customer preferences, alternative bill-of-material, and production constraints. A practical global corporation case in Taiwan will be employed to testify the feasibility of the proposed order fulfillment-planning model. Besides, the adaptability and comparison of different planning approaches in an environment of various market demands are discussed. Through the analysis of experiments, the proposed mathematical programming model is found to be better than the current popular method.


1970 ◽  
Vol 2 (1) ◽  
pp. 175-179
Author(s):  
Frederick J. Rafeld ◽  
Edgar T. Shaudys

Researchers in agricultural economics have become increasingly concerned with the effects of structural and technical changes in agriculture upon the size of the farm firm. These researchers not only want to understand firm growth in order to make suggestions for necessary changes in social institutions but also to advise the managers of farm firms.Recent farm firm growth research studies were conducted using empirically based mathematical programming models to explore growth and to test hypotheses concerning the influence of various economic factors upon growth. For examples, see. Growth in these studies is a function of the assumptions of the particular programming model.


1985 ◽  
Vol 17 (1) ◽  
pp. 169-176 ◽  
Author(s):  
Wesley N. Musser ◽  
Vickie J. Alexander ◽  
Bernard V. Tew ◽  
Doyle A. Smittle

AbstractRotations have historically been used to alleviate pest problems in crop production. This paper considers methods of modeling rotations in linear programming models for Southeastern vegetable production. In such models, entering each possible crop rotation as a separate activity can be burdensome because of the large numbers of possible rotational alternatives. Conventional methodology for double crop rotations reduces the number of activities but must be adapted to accommodate triple crop rotational requirements in vegetable production. This paper demonstrates these methods both for a simple example and an empirical problem with numerous rotation alternatives. While the methods presented in this paper may have computational disadvantages compared to entering each rotation as a separate activity, they do have advantages in model design and data management.


2019 ◽  
Vol 173 ◽  
pp. 218-232 ◽  
Author(s):  
Mostafa Mardani Najafabadi ◽  
Saman Ziaee ◽  
Alireza Nikouei ◽  
Mahmoud Ahmadpour Borazjani

Author(s):  
Minghe Sun

Mathematical programming models for discriminant and classification analysis are presented. Specifically, linear programming and mixed integer programming approaches are discussed. For each approach, two-class classification models and multi-class classification models are discussed. The emphasis is on the formulations of these mathematical programming models rather than on their performances. Two illustrative examples, one for two-class and the other for multi-class classification, are used to demonstrate the formulations of these mathematical programming models. An example is used to demonstrate the formulation after a mathematical programming model is presented.


2014 ◽  
Vol 610 ◽  
pp. 972-979 ◽  
Author(s):  
Li Ma ◽  
Jian Qiang Deng ◽  
Zheng Cao

Efficient research method represents the primary content of hydrogen networks optimization. In the view of methodology, as pinch analysis is not specialized in precisely matching a network and mathematical programming is likely to induce convergence difficulties, a combination of both is liable to avoid their shortcomings. This paper introduces a detailed process, combining cascade analysis and mathematical programming method, to optimize a refinery hydrogen network with a purifier. A hydrogen cascade analysis instead of traditional pinch-point methods is deduced to rapidly obtain pinch-point purity without tedious iterative. On this basis, the location of the purifier could be pinpointed and a concise superstructure with pinch point and the purifier is constructed. Then a superstructure-based mathematical programming model is presented. A case study is finally carried out to examine the applicability and advantages of the proposed combination approach. The calculation result verifies the optimization of the method as well.


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