Effective Investment to Reduce Setup Cost in a Mixture Inventory Model Involving Controllable Backorder Rate and Variable Lead Time with a Service Level Constraint

Table 2

The optimal solutions for logarithmic investment case in Example 4.1.

	Setup cost reduction model					Fixed setup cost model (𝐴=200)
𝜉	𝐴𝑠	𝑄𝑠	𝐿𝑠	𝛽𝑠	EAC^𝐿(⋅)	𝑄𝑠	𝐿𝑠	𝛽𝑠	EAC(⋅)	Savings (%)
0.0	61	76	6	1	2264.29	111	6	1	2511.13	9.83
0.5	61	76	6	0.512	2282.84	111	6	0.512	2529.68	9.76
1.0	61	76	6	0.345	2289.23	111	6	0.345	2536.07	9.73
10	61	76	6	0.050	2300.44	111	6	0.050	2547.28	9.69
20	61	76	6	0.026	2301.37	111	6	0.026	2548.20	9.69
40	61	76	6	0.013	2301.85	111	6	0.013	2548.68	9.68
80	61	76	6	0.007	2302.09	111	6	0.007	2548.93	9.68
100	61	76	6	0.005	2302.14	111	6	0.005	2548.98	9.68
∞	61	76	6	0	2302.34	111	6	0	2549.18	9.68

𝐿_𝑠 in weeks.