海上应急保障资源调度的多目标模糊规划模型

Renovated on-schedule supply regulation model for maritime emergency guarantee resources based on the fuzzy multi-objective programming

针对现有应急资源调度模型无法完全适应海上应急保障环境的问题,建立了基于多目标模糊规划的海上应急资源调度模型。首先,将不确定的航行时间和资源需求量表示为三角模糊数,用时间隶属度函数的全积分对模糊应急开始时间进行确定化表示,用需求量隶属度表示需求点所接收的资源数量满足需求的程度。然后,考虑各需求点和各类资源的重要程度,以系统的时效性、需求满意度、安全性和经济性为优化目标建立多目标规划模型,最后,给出了模型的求解方法,并通过算例分析证明了方法的有效性。

In order to fully reflect the actual situation for meeting the needs of saving maritime emergency resources,we have established an emergency resources on-schedule storage regulation model with multiple supply and demand points based on a fuzzy multi-objective programming method. To achieve our purpose,we have first of all brought about a hypothesis concerned. Then,we have managed to express the uncertain sailing time and the resource demand in a form of a set of triangular fuzzy figures. For example,we have determined the fuzzy emergency start-time by fully integrating the function of the time memberships. And,the next,we have defined the degrees to which the received resources can satisfy the demand as the membership of demand. Moreover,we have also introduced the weight coefficients so as to reflect the different degrees of importance of each demand and supply availability,which helps us to represent the timeliness objectives of the system as the earliest start time for the average response. On the other hand,it also helps us to be able to represent the demand to be satisfied for the objective of the system as the average maximum demand satisfaction. Furthermore,it also helps us to represent the safety objective of the system in the maximum probability of the safety navigation of all the vessels and express the economic objective of the system as the minimum number of the dispatched vessels. In so doing,we can establish the overall objective functions with the linear weighting method in terms of the dimensionless values of each end. What is more,we have also built up the feasibility constraints and the basic constraints of the system in accordance with the actual situations of the maritime emergency environment. Based on the above settings,we have also worked out a multi-objective programming model and the corresponding mathematical programming method while allowing for the limited number of the supply points and demand points in the maritime emergency system. And,finally,the method has been verified by using a numerical example that the model is in a position to offer the exact solution to problems promptly via a software known as LINGO. The result of the satisfactory solution can be obtained promptly and satisfactorily while ensuring the highest security and most available economic benefits.