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Mathematical Problems in Engineering
Volume 2015, Article ID 765098, 12 pages
http://dx.doi.org/10.1155/2015/765098
Research Article

Optimal Scheduling of Logistical Support for Medical Resource with Demand Information Updating

Department of Management Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

Received 1 April 2014; Revised 5 August 2014; Accepted 5 August 2014

Academic Editor: Michael Lütjen

Copyright © 2015 Ming Liu and Yihong Xiao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents a discrete time-space network model for a dynamic resource allocation problem following an epidemic outbreak in a region. It couples a forecasting mechanism for dynamic demand of medical resource based on an epidemic diffusion model and a multistage programming model for optimal allocation and transport of such resource. At each stage, the linear programming solves for a cost minimizing resource allocation solution subject to a time-varying demand that is forecasted by a recursion model. The rationale that the medical resource allocated in early periods will take effect in subduing the spread of epidemic and thus impact the demand in later periods has been incorporated in such recursion model. A custom genetic algorithm is adopted to solve the proposed model, and a numerical example is presented for sensitivity analysis of the parameters. We compare the proposed medical resource allocation mode with two traditional operation modes in practice and find that our model is superior to any of them in less waste of resource and less logistic cost. The results may provide some practical guidelines for a decision-maker who is in charge of medical resource allocation in an epidemics control effort.