Application of Linear Programming Methods in Scheduling of Reception Sessions of the Target Information from SC of ERS Orbital Constellation

А. Chernov
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Abstract

. This article considers the problem of optimal allocation (scheduling) of target information (TI) reception sessions from the spacecraft of the ERS orbital constellation (OC) with a limited number of core ground segment (CGS) reception com-plexes (RC), and suggests its solution, taking into account the priorities of the TI and the possibility of simultaneous presence of several SC in the radio visibility zone (RVZ) of the receiving station (RS). The solution of the problem is carried out in two stages. The first step is to work out a criterion of efficiency of scheduling of the TI reception sessions. The criterion of effectiveness is based on the “weight matrix” (“priority matrix”), which determines the relative value of the TI reception sessions on the direct product of factors of the orbital constellation SC and all the CGS RC. The algorithm for the “weight matrix” calculation accommodates some a priori requirements of the OC operator, which he specifies for the end result of the scheduling. On the second stage the criterion of efficiency is used to set and solve the problem of optimal scheduling of the reception sessions [2]. The problems of the first and second stages are viewed as transportation problems of integer linear programming. Limita-tions and features of the problem of reception session scheduling make it possible to view it as the “assignment problem”, well known in integer linear programming. Examples of “weight matrix” calculation and optimal scheduling of reception sessions using the developed software are presented.
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线性规划方法在ERS轨道星座SC目标信息接收时段调度中的应用
. 本文研究了在有限数量的核心地段(CGS)接收综合体(RC)条件下,ERS轨道星座(OC)航天器目标信息接收时段的最优分配(调度)问题,并考虑了核心地段接收综合体的优先级和接收站(RS)无线电可见区(RVZ)内多个核心地段接收综合体同时存在的可能性,提出了解决方案。问题的解决分两个阶段进行。第一步是制定TI接待会议安排的效率标准。有效性标准基于“权重矩阵”(“优先矩阵”),该矩阵确定了TI接收会话在轨道星座SC和所有CGS RC因素的直接乘积上的相对值。“权重矩阵”计算的算法满足OC操作符的一些先验要求,他为调度的最终结果指定了这些要求。在第二阶段,采用效率准则设定并求解接待时段[2]的最优调度问题。将第一阶段和第二阶段的问题看作是整数线性规划的运输问题。接收会话调度问题的局限性和特点使其有可能被看作是整数线性规划中众所周知的“分配问题”。给出了利用开发的软件进行“权矩阵”计算和最优调度的实例。
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