Three-Echelon Inventory Model with Permissible Delay in Payments under Controllable Lead Time and Backorder Consideration

Table 4

The value of profit in different condition by varying 𝑌.

𝛽0=0.8	𝐿𝑟0	𝐿𝑟1	𝐿𝑟2
𝑄1	75.43~85.19	69.34~78.18	64.21~72.26
𝑌	37~136	31~130	25~124
EJTP1(𝑄1, 𝐿𝑟, 𝜋𝑥)	14306.68~15847.64	14837.2~16500.4	14666.7~16527.05
𝑄2	72.43~104.71	67.02~83.92	62.45~71.26
𝑌	36~0	30~0	24~0
EJTP2(𝑄2, 𝐿𝑟, 𝜋𝑥)	13749.61~18067.25	14326.88~17393.2	14198.61~16317.84
𝑄3	76.1 ~86.16	69.87~78.94	64.69~72.95
𝑌	37~136	30~129	24~123
EJTP3(𝑄3, 𝐿𝑟, 𝜋𝑥)	14144.93~15664.35	14691.76~16336.02	14553.64~16399.41
𝑄4	59.79~87.55	59.89~75.83	60.69~69.91
𝑌	36~0	30~0	24~0
EJTP4(𝑄4, 𝐿𝑟, 𝜋𝑥)	*16859.1~20313.7	15392.02~18369.36	13701.0~16028.2

∗Optimal solution of EJTP_𝑖𝑗.