Coordination in a Single-Retailer Two-Supplier Supply Chain under Random Demand and Random Supply with Disruption

Table 2

Impact of different demand variabilities on the supply chain.

Models	Contract parameters	(𝜇𝑋, 𝜎𝑋)	𝑄^∗	𝐿^𝑑	𝜁^∗	Π𝑟	Π𝑚	Π𝑏	Total
Decentralized model under traditional arrangement (𝑤𝑚, 𝑤𝑏)	(18.40, 20.52)	(100, 40)	37.63	87.41	1.65	135.49	402.17	358.24	895.90
		(100, 45)	29.52	98.70	1.65	97.72	454.14	281.05	832.91
		(100, 50)	21.22	110.21	1.65	61.56	507.10	202.06	770.71
	(18.84, 20.86)	(100, 40)	36.73	85.76	1.65	106.70	405.76	362.17	874.62
		(100, 45)	28.50	96.86	1.65	69.62	458.29	281.03	808.94
		(100, 50)	20.07	108.20	1.65	34.17	511.90	197.91	743.99
	(19.28, 21.20)	(100, 40)	35.79	84.13	1.65	78.53	408.99	365.10	852.61
		(100, 45)	27.43	95.04	1.65	42.22	462.05	279.84	784.10
		(100, 50)	18.87	106.20	1.65	7.56	516.30	192.46	716.32
Coordination under the combined contract (𝑤𝑚, 𝑤𝑏, 𝑤𝑟, 𝑇)	(18.40, 20.52, 17.0, 240)	(100, 40)	63.64	117.35	1.00	348.63	459.98	365.85	1174.45
		(100, 45)	58.99	131.86	1.00	336.06	488.69	321.63	1146.38
		(100, 50)	54.29	146.27	1.00	323.71	518.59	276.85	1119.15
	(18.84, 20.86, 17.5, 250)	(100, 40)	63.64	117.35	1.00	319.13	477.84	377.48	1174.45
		(100, 45)	58.99	131.86	1.00	307.12	507.57	331.69	1146.38
		(100, 50)	54.29	146.27	1.00	295.31	538.54	285.31	1119.15
	(19.28, 21.20, 18, 260)	(100, 40)	63.64	117.35	1.00	289.64	495.69	389.12	1174.45
		(100, 45)	58.99	131.86	1.00	278.18	526.45	341.75	1146.38
		(100, 50)	54.29	146.27	1.00	266.90	558.48	293.77	1119.15