Tham khảo tài liệu 'supply chain management pathways for research and practice part 7', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | A Fuzzy Goal Programming Approach for Collaborative Supply Chain Master Planning 109 explore the influence of different weight structures on the results of the problem several problem instances are generated. Solution results of the model obtained by Tiwari et al. 1987 weighted additive approach are presented in Table 3. It is clear that determination of the weights requires expert opinion so that they can reflect accurately the relations between the different partners of a SC. In Table 3 w1 w2 w3 and w4 denotes the weights of manufacturer s warehouses logistic centres and shops objectives for each instance. On the other hand Table 3 adds the degree of satisfaction of the objective functions for the proposed method. Objectives Upper bound Lower bound cOsTM 785545 543825 WiPROFIT 302078 171296 w2profit 332787 198072 lCiCOST 1359 1329 lc2cost 1187 1162 LC3COST 1227 1199 S1PROFIT 66552 64784 S2PROFIT 65825 64154 S3PROFIT 68787 67044 S4PROFIT 66448 64727 S5PROFIT 68486 66643 s6profit 59838 58288 Table 2. Upper and lower bounds of the objectives. Problem instances 1 2 3 4 5 6 7 8 9 wl w2 w3 w4 ựCOSTM WlPROFIT ựW2PROFIT ựLClCOST LC2COST ựLC3COST SlPROFIT ựS2PROFIT ựS3PROFIT ựS4PROFIT ựS5PROFIT