Melikov A.Z., Ponomarenko L.A., Bagirova S.A.
Markov models of queuing-inventory systems with variable size of order

Markov models of queueing–inventory systems with variable order size are investigated. Two classes of models are considered: with instant service and with nonzero service time. The model with nonzero service time assumes that impatient customers can form a queue of either finite or infinite length. The exact and approximate methods are developed to calculate the characteristics of the systems under proposed restocking policy. © 2017, Springer Science+Business Media New York.

Keywords: queuieng–inventory systems, restocking policy, variable order size, Markov processes, Queueing theory, Approximate methods, Impatient customers, Inventory systems, Markov model, Service time, Variable order, Inventory control

Cite:
Melikov A.Z., Ponomarenko L.A., Bagirova S.A. (2017). Markov models of queuing-inventory systems with variable size of order. Cybernetics and Systems Analysis, 53 (3), 49-66. doi: https://doi.org/10.1007/s10559-017-9937-3 http://jnas.nbuv.gov.ua/article/UJRN-0000700158 [In Russian].