A General MINLP Model for the Multiway Valve Channel-Limited Location-Allocation Problem

Table 6

Costs with various numbers of channels and MVs.

Total channels	Cost (¥)	Number of MVs	Individual channel counts
40	1.424 × 10^6	3	16, 16, 8
42	1.396 × 10^6	3	16, 16, 10
44	1.396 × 10^6	3	16, 14, 14
46	1.396 × 10^6	3	16, 16, 14
48	1.396 × 10^6	3	16, 16, 16
50	1.304 × 10^6	3	16, 16, 18
40	1.306 × 10^6	4	10, 10, 10, 10
42	1.287 × 10^6	4	12, 10, 10, 10
44	1.287 × 10^6	4	12, 12, 10, 10
46	1.287 × 10^6	4	12, 12, 12, 10
48	1.287 × 10^6	4	12, 12, 12, 12
50	1.287 × 10^6	4	14, 12, 12, 12
40	1.647 × 10^6	5	8, 8, 8, 8, 8
42	1.520 × 10^6	5	8, 8, 8, 8, 10
44	1.426 × 10^6	5	8, 8, 8, 10, 10
46	1.426 × 10^6	5	8, 8, 10, 10, 10
48	1.426 × 10^6	5	8, 8, 10, 10, 12
50	1.426 × 10^6	5	8, 8, 10, 12, 12
40	1.641 × 10^6	6	7, 6, 7, 7, 7, 6
42	1.619 × 10^6	6	8, 8, 6, 6, 6, 8
44	1.615 × 10^6	6	8, 8, 8, 8, 6, 6
46	1.592 × 10^6	6	8, 8, 8, 10, 6, 6
48	1.592 × 10^6	6	10, 8, 8, 10, 6, 6
50	1.592 × 10^6	6	10, 8, 8, 8, 8, 8
40	1.893 × 10^6	7	6, 6, 6, 6, 6, 4, 6
42	1.870 × 10^6	7	6, 6, 6, 6, 6, 6, 6
44	1.775 × 10^6	7	6, 8, 6, 6, 6, 6, 6
46	1.766 × 10^6	7	8, 8, 6, 6, 6, 6, 6
48	1.766 × 10^6	7	6, 8, 6, 8, 8, 6, 6
50	1.766 × 10^6	7	8, 8, 6, 8, 6, 6, 6
40	1.957 × 10^6	8	5, 5, 5, 5, 5, 5, 5, 5
42	1.950 × 10^6	8	6, 6, 5, 5, 5, 5, 5, 5
44	1.941 × 10^6	8	6, 6, 5, 5, 6, 6, 5, 5
46	1.941 × 10^6	8	6, 6, 5, 5, 6, 6, 6, 6
48	1.941 × 10^6	8	6, 6, 5, 5, 6, 6, 8, 6
50	1.919 × 10^6	8	8, 6, 6, 6, 6, 6, 6, 6