CAJ | 학술논문

现实活动中，存在大量的需要由多人合作才能完成某项工作的情况．针对两人合作共同加工一批工件，每人有一台加工机器，每个工件只需加工一次，工件加工时间是开工时间的线性函数的问题建立数学模型，考虑以最小的最大流程时间作为加工成本，确定这批工件的一个划分，把工件分配给两台机器加工．该划分方案不仅考虑到合作双方的效率，而且充分体现公平性原则，从而使双方对相应的合作（加工）收益分配满意，愿意合作．
현실활동중，존재대량적수요유다인합작재능완성모항공작적정황．침대량인합작공동가공일비공건，매인유일태가공궤기，매개공건지수가공일차，공건가공시간시개공시간적선성함수적문제건립수학모형，고필이최소적최대류정시간작위가공성본，학정저비공건적일개화분，파공건분배급량태궤기가공．해화분방안불부고필도합작쌍방적효솔，이차충분체현공평성원칙，종이사쌍방대상응적합작（가공）수익분배만의，원의합작．
In the real world, there exist many situation where many persons need cooperate in order to complete a project. We establish a mathematical model of the problem where two persons process a batch of jobs by cooperation. Each person offers a single machine and each job with linear processing time of its starting time just needs to be processed once. If we define the minimized maximum flow time as a processing cost, determine a division of these jobs which not only considers the efficiency of each person but also embodies the fairness principle, to yield a reasonable cooperative (processing)profit allocation scheme acceptable to them.