Flexible Stock Allocation and Trim Loss Control for Cutting Problem in the Industrial-Use Paper Production

Table 4

Optimal solutions using FAP and TLMP method.

𝑘	pw𝑘	pq𝑘	𝑓𝑘	TLMP		FAP
				Solution𝑘	Stock𝑘	Solution𝑘	Stock𝑘
1	1000	0	1	39	39	37	37
2	1100	0	2	2	2	1	1
3	1200	7	3	9	2	8	1
4	1300	22	4	22	0	23	1
5	1400	0	5	9	9	6	6
6	1500	28	6	28	0	28	0
7	1600	58	7	58	0	58	0
8	1700	47	8	47	0	47	0
9	1800	43	9	43	0	43	0
10	1900	7	10	7	0	7	0
11	2000	20	11	20	0	20	0
12	2100	9	12	9	0	9	0
13	2200	30	14	30	0	30	0
14	2300	7	16	7	0	7	0
15	2400	12	19	12	0	15	3
16	2500	20	22	20	0	20	0
TLR (%)				0.42		0.42
TF					94		133

Note: rolls = 135, R = −1000, and stock_𝑘 = solution_𝑘 −pq_𝑘.