 Minimizing expected discounted cost in a queueing loss model with discriminating arrivalsBabak Haji and Sheldon Ross European Journal of Operational Research, 2020, vol. 282, issue 2, 593-601 Abstract: We consider a queuing loss system with heterogeneous skill based servers and Poisson arrivals. We first assume that each arrival has a vector (X1,…,Xn) of independent binary random variables with Xi=1 if server i is eligible to serve that arrival. The service time at server i is exponential with rate μi. Arrivals finding no servers that are both idle and eligible to serve them are lost. Assuming the system incurs a cost of one unit for each lost customer, our goal is to find the optimal policy for assigning arrivals to idle and eligible servers so as to minimize the expected discounted cost of the system. Later, we generalize our model by considering k server pools where each pool i is eligible to serve arrivals with probability pi and all servers within this pool provide service at an exponential rate μi. Keywords: Queuing; Markov decision processes; Queueing loss model; Heterogeneous servers; Discriminating arrivals (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:282:y:2020:i:2:p:593-601 DOI: 10.1016/j.ejor.2019.09.026 Access Statistics for this article European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati More articles in European Journal of Operational Research from Elsevier |
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