The Closed-Loop Supply Chain Network Equilibrium with Products Lifetime and Carbon Emission Constraints in Multiperiod Planning Horizon

Table 1

𝛿=0, the CLSC network equilibrium results when 𝛼 increases.

𝛼	0.05	0.1	0.15	0.2	0.25	0.3
𝑞^𝑟𝑠,𝑞^𝑟𝑚; 𝑠=1,2; 𝑚=1,2	3.0927; 1.9756; 1.5540; 1.2753; 1.1344	3.1929; 2.0357; 1.5970; 1.3087; 1.1617	3.2862; 2.0917; 1.6369; 1.3398; 1.1871	3.3723; 2.1434; 1.6738; 1.3685; 1.2106	3.4510; 2.1906; 1.7076; 1.3948; 1.2321	3.5219; 2.2332; 1.7380; 1.4184; 1.2514
𝑞^𝑢𝑚; 𝑚=1,2	0.0162; 0.0460; 0.0737; 0.1339	0.0463; 0.1060; 0.1595; 0.2871	0.0901; 0.1781; 0.2537; 0.4638	0.1469; 0.2612; 0.3517; 0.6695	0.2161; 0.3552; 0.4480; 0.9106	0.2965; 0.4614; 0.5358; 1.1957
𝑞^𝑟𝑚𝑛; 𝑚=1,2; 𝑛=1,2	0.1620; 0.4599; 0.7374; 1.3393; 1.8174	0.2317; 0.5299; 0.7977; 1.4353; 1.6534	0.3002; 0.5937; 0.8455; 1.5460; 1.4854	0.3672; 0.6530; 0.8792; 1.6737; 1.3112	0.4322; 0.7104; 0.8961; 1.8212; 1.1281	0.4941; 0.7690; 0.8929; 1.9928; 0.9325
𝑞𝑚𝑛; 𝑚=1,2; 𝑛=1,2	0.1620; 0.4672; 0.7581; 1.3725; 1.8776	0.2317; 0.5507; 0.8454; 1.5071; 1.7826	0.3002; 0.6342; 0.9257; 1.6602; 1.6942	0.3672; 0.7191; 0.9967; 1.8319; 1.6125	0.4322; 0.8076; 1.0559; 2.0229; 1.5379	0.4941; 0.9024; 1.1006; 2.2339; 1.4706
𝐼𝑚; 𝑚=1,2	2.7687; 3.8245; 3.9037; 2.5003; 0	2.7295; 3.7055; 3.7070; 2.1451; 0	2.6858; 3.5901; 3.5359; 1.7837; 0	2.6378; 3.4751; 3.3906; 1.4118; 0	2.5866; 3.3564; 3.2718; 1.0241; 0	2.5337; 3.2288; 3.1809; 0.6136; 0
𝜌𝑛; 𝑛=1,2	30.6697; 33.5850; 37.4783; 41.8530; 48.5833	30.4936; 33.3687; 37.2456; 41.4803; 48.8597	30.3205; 33.1526; 37.0315; 41.0565; 49.1170	30.1512; 32.9328; 36.8421; 40.5809; 49.3546	29.9870; 32.7037; 36.6842; 40.0521; 49.5717	29.8307; 32.4584; 36.5651; 39.4675; 49.7674
𝜌^𝑢𝑘𝑚; 𝑘=1,2	0.0162; 0.0460; 0.0737; 0.1339; 0	0.0463; 0.1060; 0.1595; 0.2871; 0	0.0901; 0.1781; 0.2537; 0.4638; 0	0.1469; 0.2612; 0.3517; 0.6695; 0	0.2161; 0.3552; 0.4480; 0.9106; 0	0.2965; 0.4614; 0.5358; 1.1957; 0
𝜋𝑠,𝑠=1,2	32.2546	34.7208	37.0795	39.3119	41.3978	43.3149
𝜋𝑚,𝑚=1,2	75.9138	77.0719	77.1677	75.8899	72.8294	67.4213
𝜋𝑛,𝑛=1,2	18.6856	19.5621	20.9267	22.8044	25.2330	28.2688
Total profit	126.8549	131.3548	135.1739	138.0062	139.4602	139.0050