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

Table 2

The detailed information of dead markings.

Marking number	Information of marking; [𝑝1, 𝑝2, 𝑝3, 𝑝4, 𝑝5, 𝑝6, 𝑝8, 𝑝9, 𝑝10, 𝑝11, 𝑝12, 𝑝14, 𝑝15, 𝑝16, 𝑝17, 𝑝18, 𝑝19]	Marking number	Information of marking; [𝑝1, 𝑝2, 𝑝3, 𝑝4, 𝑝5, 𝑝6, 𝑝8, 𝑝9, 𝑝10, 𝑝11, 𝑝12, 𝑝14, 𝑝15, 𝑝16, 𝑝17, 𝑝18, 𝑝19]
𝑀80	[3, 1, 1, 1, 0, 0, 4, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0]	𝑀93	[5, 0, 1, 0, 0, 0, 3, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0]
𝑀125	[4, 0, 0, 0, 1, 1, 4, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0]	𝑀130	[4, 0, 1, 1, 0, 0, 3, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0]
𝑀134	[4, 1, 0, 1, 0, 0, 3, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0]	𝑀137	[6, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0]
𝑀152	[2, 1, 1, 1, 0, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]	𝑀153	[3, 0, 1, 0, 1, 1, 4, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0]
𝑀154	[3, 0, 0, 1, 1, 1, 4, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0]	𝑀156	[4, 0, 1, 0, 0, 1, 3, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0]
𝑀163	[5, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0]	𝑀170	[3, 0, 1, 1, 0, 1, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]
𝑀171	[3, 1, 0, 1, 0, 1, 3, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0]	𝑀172	[4, 0, 0, 0, 1, 1, 3, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]
𝑀174	[5, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0]	𝑀176	[4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]