Optimal Ordering Policy and Coordination Mechanism of a Supply Chain with Controllable Lead-Time-Dependent Demand Forecast

Table 3

Contract and supply chain coordination.

Contract parameters			Retailer			Manufacturer			Supply chain
𝑤	𝑏	𝜆	Π^𝐶𝑟	Δ𝑟	Δ𝑟/Δ𝑙	Π^𝐶𝑚	Δ𝑚	Δ𝑚/Δ𝑙	Π^𝐶𝑙	Δ𝑙
𝛿=0.1,(𝑞^𝐶,𝑡^𝐶)=(𝑞^𝐼,𝑡^𝐼)=(2306.4,120),10.3025≤𝑤≤10.5884
10.3025	0.8229	0.6465	18815	555	100%	10288	0	0%	29103	555
10.4	0.827	0.64	18626	366	66%	10477	189	34%	29103	555
10.5	0.8311	0.6333	18432	172	31%	10671	383	69%	29103	555
10.5884	0.8346	0.6274	18260	0	0%	10843	555	100%	29103	555
𝛿=0.5,(𝑞^𝐶,𝑡^𝐶)=(𝑞^𝐼,𝑡^𝐼)=(2328.5,144),10.3213≤𝑤≤10.6223
10.3213	0.8237	0.6452	18716	582	100%	10290	0	0%	29006	582
10.4	0.827	0.64	18564	430	74%	10442	152	26%	29006	582
10.5	0.8311	0.6333	18370	237	41%	10636	345	59%	29006	582
10.6	0.8351	0.6267	18177	43	7%	10829	539	93%	29006	582
10.6223	0.836	0.6252	18134	0	0%	10872	582	100%	29006	582
𝛿=1,(𝑞^𝐶,𝑡^𝐶)=(𝑞^𝐼,𝑡^𝐼)=(2348.2,164),10.3387≤𝑤≤10.6591
10.4	0.827	0.64	18537	500	81%	10427	118	19%	28964	619
10.5	0.8311	0.6333	18344	307	50%	10620	311	50%	28964	619
10.6	0.8351	0.6267	18151	114	18%	10813	505	82%	28964	619
𝛿=2,(𝑞^𝐶,𝑡^𝐶)=(𝑞^𝐼,𝑡^𝐼)=(2364.7,180),10.3387≤𝑤≤10.6591
10.4	0.827	0.64	18515	559	86%	10414	87	14%	28929	647
10.5	0.8311	0.6333	18322	366	57%	10607	280	43%	28929	647
10.6	0.8351	0.6267	18129	174	27%	10800	473	73%	28929	647
𝛿=5,(𝑞^𝐶,𝑡^𝐶)=(𝑞^𝐼,𝑡^𝐼)=(2386.6,200),10.7290≤𝑤≤10.3667
10.4	0.827	0.64	18501	634	91%	10407	64	9%	28908	698
10.5	0.8311	0.6333	18308	441	63%	10600	257	37%	28908	698
10.6	0.8351	0.6267	18116	249	36%	10792	450	64%	28908	698
𝛿=6,(𝑞^𝐶,𝑡^𝐶)=(𝑞^𝐼,𝑡^𝐼)=(2386.6,200),10.369≤𝑤≤10.7392
10.4	0.827	0.64	18501	654	92%	10407	59	8%	28908	713
10.5	0.8311	0.6333	18308	461	65%	10600	252	35%	28908	713
10.6	0.8351	0.6267	18116	268	38%	10792	445	62%	28908	713
10.7	0.839	0.62	17923	76	11%	10985	637	89%	28908	713
𝛿=8,(𝑞^𝐶,𝑡^𝐶)=(𝑞^𝐼,𝑡^𝐼)=(2386.6,200),10.3773≤𝑤≤10.7403
10.4	0.827	0.64	18501	656	94%	10407	44	6%	28908	700
10.5	0.8311	0.6333	18308	463	66%	10600	236	34%	28908	700
10.6	0.8351	0.6267	18116	270	39%	10792	429	61%	28908	700
10.7	0.839	0.62	17923	78	11%	10985	622	89%	28908	700
𝛿=10,(𝑞^𝐶,𝑡^𝐶)=(𝑞^𝐼,𝑡^𝐼)=(2386.6,200),10.3773≤𝑤≤10.7403
10.4	0.827	0.64	18501	656	94%	10407	44	6%	28908	700
10.5	0.8311	0.6333	18308	463	66%	10600	236	34%	28908	700
10.6	0.8351	0.6267	18116	270	39%	10792	429	61%	28908	700
10.7	0.839	0.62	17923	78	11%	10985	622	89%	28908	700