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

Table 3

Optimal solutions using FAP and CSP methods.

𝑘	pw𝑘	pq𝑘	𝑓𝑘	CSP		FAP
				Solution𝑘	Stock𝑘	Solution𝑘	Stock𝑘
1	1000	0	1	31	31	21	21
2	1100	0	2	0	0	0	0
3	1200	7	3	7	0	12	5
4	1300	22	4	22	0	23	1
5	1400	0	5	0	0	10	10
6	1500	28	6	30	2	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	12	0
16	2500	20	22	20	0	20	0
21	#3000	0	27	0	0	1	1
37	#4600	0	43	1	1	1	1
TLR (%)				3.3		1.4
TF					86		160

Note: rolls = 135, R = 0, and stock_𝑘 = solution_𝑘 − pq_𝑘.