Effect of information on the strategic behavior of customers in a discrete-time bulk service queue

Figure 1.  Various time epochs in a late-arrival system with delayed access (LAS-DA)

Figure 2.  State transition diagram for the original model with maximum batch size $ b $

Figure 3.  State transition diagram for an observable batch service queueing model with maximum batch size $ b $

Figure 4.  State transition diagram for the unobservable batch service queueing model with maximum batch size $ b $

Figure 6.  Effect of customer arrivals on the benefit function under different information policies with parameters $\mu = 0.15, b = 10, R = 30, C = 1$

Figure 7.  Effect of service rate on the benefit function under different information policies with parameters $\lambda = 0.75, b = 10, R = 30, C = 1$

Figure 8.  Equilibrium strategy vs batch size under observable policy for $\lambda = 0.2, \mu = 0.3, R = 10, C = 1$

Figure 9.  Equilibrium strategy vs batch size under unobservable policy for $\lambda = 0.2, \mu = 0.3, R = 5, C = 1$

Figure 10.  Effect of batch size on the benefit function under different information policies with parameters $\lambda = 0.75, \mu = 0.25, R = 30, C = 1$

Figure 11.  Dependence of performance measures on customer arrivals under the observable policy with parameters $ \mu = 0.15, b = 10, R = 30, C = 1$

Figure 12.  Comparison of average system lengths with respect to $b$ for $\lambda = 0.75, \mu = 0.25, R = 30, C = 1$

Figure 13.  Comparison of average system lengths with respect to $\lambda$ for $b = 10, \mu = 0.15, R = 30, C = 1$