Statistical inference for mean-field queueing models

Data-Driven Queueing Science Approach to Manage Secondary Queue Formation of Passenger Flow in Indian Railways: A Case of Overbooking on Vaishali Train

“…Dutta and Choudhry [42] proposed a simple estimation for a single server Markovian queueing system for a practical queueing situation where confidence interval and sample size determination have also been discussed. In continuation, the related literature for statistical inferencing can also be seen in the works of Zhao [43], Antunes et al [44], Ravner and Wang [45], and Inoue et al [46]. Further, in the paper of Asanjarani [47], a detailed survey on the estimation of queueing can be seen.…”

An Alternative Formulation of the Harrison Model

“…The theory of effective field has been used to explain spontaneous magnetic ordering and phase transitions in ferromagnets [3], and it is widely used in solid-state physics; some widely used hysteresis models such as the Jiles-Atherton formalism [15] heavily explore and rely on the concept. It is, however, interesting to mention that the idea of mutual interactions between individual entities has influenced seemingly different research studies, e.g., those devoted to collective behavior [16,17] or focused on applied mathematics and computer science [18][19][20]. In the context of research on Nondestructive Testing and Evaluation, it should be stressed that the expression for the effective field may include additional terms related, e.g., to eddy currents, thermal viscosity, mechanical stresses or demagnetization effects [21], which opens an exciting perspective to develop new types of sensors of physical quantities based on monitoring of magnetic properties.…”