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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.21:658.7
A.Z. Melikov1, L.A. Ponomarenko2, I.A. Aliyev3

MARKOV MODELS OF SYSTEMS WITH TWO TYPES OF CUSTOMERS AND DIFFERENT
REPLENISHMENT POLICIES

Abstract. Markov models of queuing-inventory systems with two types of customers are proposed. In these systems, two kinds of replenishment policies are used: policies with fixed and variable size of order. High-priority customers have no access constraints while low-priority customers are accepted if the total number of customers in the system is less than a given threshold. Methods are developed to calculate performance measures of the systems under study and problems of their optimization are solved. Results of the numerical experiments are shown.

Keywords: conveyor, queuing-inventory system, replenishment policy, customers of different types, calculation method, optimization.



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1 Institute of Control Systems of National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

agassi.melikov@rambler.ru

2
International Research and Training Center for Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv, Ukraine

laponomarenko@ukr.net

3 Baku State University, Baku, Azerbaijan

isiko94@gmail.com

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