Double-Sources Queuing-Inventory Systems with Finite Waiting Room and Destructible Stocks

Agassi Melikov, Ramil Mirzayev and Janos Sztrik ()
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Agassi Melikov: Institute of Control Systems, National Academy of Science, Baku AZ 1141, Azerbaijan
Ramil Mirzayev: Faculty of Engineering, National Aviation Academy, Baku AZ 1045, Azerbaijan
Janos Sztrik: Department of Informatics and Networks, Faculty of Informatics, University of Debrecen, 4032 Debrecen, Hungary

Mathematics, 2023, vol. 11, issue 1, 1-16

Abstract: Models of double-source queuing-inventory systems are studied in the presence of a finite buffer for waiting in the queue of consumer customers, where instant destruction of inventory is possible. It is assumed that the lead times of orders, as well as the cost of delivery from various sources, differ from each other. Replenishment of stocks from various sources is carried out according to the following scheme: if the inventory level drops to the reorder point s, then a regular order for the supply of inventory to a slow source is generated; if the inventory level falls below a certain threshold value r, where r < s, then the system instantly cancels the regular order and generates an emergency order to the fast source. Models of systems that use ( s , S ) or ( s , Q ) replenishment policies are studied. Exact and approximate methods for finding the performance measures of the models under study are proposed. The problems of minimizing the total cost are solved by choosing the appropriate values of the parameters s and r when using different replenishment policies. Numerical examples demonstrated the high accuracy of an approximate method as well as compared performance measures of the system under various replenishment policies.

Keywords: queuing-inventory system; double sources; finite buffer (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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