Abstract. The model of perishable queueing-inventory system with server vacations is studied. Upon service completion, server takes vacation if there are no customers in the system and it starts to service at the end of the vacation if the number of customers in the system exceeds some threshold; otherwise, it takes new vacation. Exact and approximate methods to calculate the characteristics of the system are proposed.
Keywords: inventory control, perishable items, server vacation.
1 Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: vskorol@yahoo.com.
2 Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan,
e-mail: agassi.melikov@rambler.ru.
3 International Research and Training Center for Information Technologies and Systems, National Academy of Sciences
of Ukraine and Ministry of Education and Science of Ukraine, Kyiv, Ukraine,
e-mail: laponomarenko@ukr.net.
4 Baku Engineering University, Baku, Azerbaijan,
e-mail: anar.rustamov@gmail.com.