On Little’s Formula in Multiphase Queues

Saulius Minkevičius, Igor Katin, Joana Katina and Irina Vinogradova-Zinkevič
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Saulius Minkevičius: Institute of Data Science and Digital Technologies, Vilnius University, Akademijos st. 4,LT-08412 Vilnius, Lithuania
Igor Katin: Institute of Data Science and Digital Technologies, Vilnius University, Akademijos st. 4,LT-08412 Vilnius, Lithuania
Joana Katina: Institute of Computer Science, Vilnius University, Didlaukio st. 47, LT-08303 Vilnius, Lithuania
Irina Vinogradova-Zinkevič: Department of Information Technologies, Vilnius Gediminas Technical University, Saulėtekio al. 11,LT-10223 Vilnius, Lithuania

Mathematics, 2021, vol. 9, issue 18, 1-15

Abstract: The structure of this work in the field of queuing theory consists of two stages. The first stage presents Little’s Law in Multiphase Systems (MSs). To obtain this result, the Strong Law of Large Numbers (SLLN)-type theorems for the most important MS probability characteristics (i.e., queue length of jobs and virtual waiting time of a job) are proven. The next stage of the work is to verify the result obtained in the first stage.

Keywords: multiphase systems; heavy traffic; Little’s formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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