Performance Analysis on Transfer Platforms in Frame Bridge Based Automated Container Terminals

Table 1

Transition rates of the system form 𝑋_𝑖 to 𝑋_𝑗.

Event	Condition	𝑋𝑖→𝑋𝑗	𝑞𝑖𝑗
A FT moves a container from 𝑀QS to 𝑀TP.	𝑠=0^−	(0^−,0,𝑁GT)→(−1,0,𝑁GT)	𝑚𝜇QS
	𝑠≠0^−	(𝑠,𝑁FT,𝑁GT)→(𝑠,𝑁FT+1,𝑁GT)	(𝑚−𝑁FT)𝜇QS
𝑀TP takes a container from a FT	𝑁GT=0	(−1,𝑁FT,0)→(0^+,𝑁FT−1,0)	𝜇TP
	𝑁G>0	(−1,𝑁FT,𝑁GT)→(1,𝑁FT−1,𝑁GT)	𝜇TP
𝑀TP puts a container to a GT	𝑁FT=0	(1,0,𝑁GT)→(0^−,0,𝑁GT−1)	𝜇TP
	𝑁FT>0	(1,𝑁FT,𝑁GT)→(−1,𝑁FT,𝑁GT−1)	𝜇TP
𝑀YS takes a container from a GT	𝑠=0^+	(0^+,𝑁FT,0)→(1,𝑁FT,1)	𝑛𝜇YS
	𝑠≠0^+	(𝑠,𝑁FT,𝑁GT)→(𝑠,𝑁FT,𝑁GT+1)	(𝑛−𝑁GT)𝜇YS