Mathematical Models of Multiserver Queuing System for Dynamic Performance Evaluation in Port

Table 2

Port performance parameters for 𝑀^𝑋/𝑀/3/36 queue (nonstationary and stationary regime) and for 𝑀^𝑋/𝑀/2/32 queue (stationary regime) with different distributions of batch size.

𝑀^𝑋/𝑀/3/36 queue		𝑃𝐵	𝑃𝑉^(1), 𝑃𝑉^(2)	𝑛oc	𝑃ob	𝑃eq	𝑁𝑤
Nonstationary working regime at 𝑡=50	Model I, g	0.0223	0.0635	1.869	0.553	0.515	5.844
	Model II, g	0.0387	0.0387	1.913	0.570	0.534	6.759
	Model I, P	0.0091	0.0115	1.967	0.587	0.543	5.136
	Model II, P	0.0138	0.0083	1.970	0.588	0.544	5.270
Stationary working regime	Model I, g	0.0227	0.0645	1,880	0.556	0.519	5.919
	Model II, g	0.0399	0.0399	1.929	0.576	0.540	6.902
	Model I, P	0.0097	0.0123	1.985	0.594	0.549	5.291
	Model II, P	0.0151	0.0092	1.990	0.596	0.552	5.470
𝑀^𝑋/𝑀/2/32 queue
Stationary working regime	Model I, g	0.0311	0.0878	1.223	0.572	0.530	5.546
	Model II, g	0.0537	0.0537	1.267	0.597	0.558	6.656
	Model I, P	0.0157	0.0198	1.313	0.622	0.580	5.386
	Model II, P	0.0243	0.0146	1.320	0.626	0.584	5.634