Computationally Improved Optimal Control Methodology for Linear Programming Problems of Flexible Manufacturing Systems

Table 10

The additional control places in this example.

Control places number	𝑀0(𝐶𝑝𝑖)	●(𝐶𝑝𝑖)	(𝐶𝑝𝑖)●	Information of control places
				[𝑀0,   𝑡1,   𝑡2,   𝑡3,   𝑡4,   𝑡5,   𝑡6,   𝑡7, 𝑡8,   𝑡9,   𝑡10,   𝑡11,   𝑡12,   𝑡13,   𝑡14]
𝐶1	1	𝑡5,  𝑡13	𝑡4,  𝑡11	[1, 0, 0, 0, −1, 1, 0, 0, 0, 0, 0, −1, 0, 1, 0]
𝐶2	2	𝑡6,  𝑡13	𝑡1,  𝑡11	[2, −1, 0, 0, 0, 0, 1, 0, 0, 0, 0, −1, 0, 1, 0]
𝐶3	3	𝑡5,  𝑡7,  𝑡11	𝑡4,  𝑡6,  𝑡9	[3, 0, 0, 0, −1, 1, −1, 1, 0, −1, 0, 1, 0, 0, 0]
𝐶4	3	𝑡6,  𝑡11	𝑡3,  𝑡4,  𝑡9	[3, 0, 0, −1, −1, 0, 1, 0, 0, −1, 0, 1, 0, 0, 0]
𝐶5	3	𝑡7,  𝑡11	𝑡3,  𝑡5,  𝑡9	[3, 0, 0, −1, 0, −1, 0, 1, 0, −1, 0, 1, 0, 0, 0]
𝐶6	4	𝑡7,  𝑡11	𝑡1,  𝑡9	[4, −1, 0, 0, 0, 0, 0, 1, 0, −1, 0, 1, 0, 0, 0]