Performance analysis of Markovian queue with impatience and vacation\n times

2016/04/03 by Assia Boumahdaf, Boumahdaf, Assia
Business, Management and Accounting · Decision Sciences · Health Professions · #Advanced Queuing Theory Analysis #FOS: Mathematics #Healthcare Operations and Scheduling Optimization #Probability (math.PR) #Probability and Risk Models

paper · pdf · doi:10.48550/arxiv.1604.02449

openalex publication_date 2016/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider an M/M/1 queueing system with impatient customers with multiple\nand single vacations. It is assumed that customers are impatient whenever the\nstate of the server. We derive the probability generating functions of the\nnumber of customers in the system and we obtain some performance measures.\n

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