Queues with Simultaneous Arrival of Customers and the Dependence Structure of the Waiting Times
We consider a queueing system where some customers decide to simultaneously wait in two queues, rather than in a single queue, to receive their service. In practice, when there exists a number of queues rendering the same service, the customers may tend to simultaneously wait in more than one queue...
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| Veröffentlicht in: | Methodology and computing in applied probability 2019-12, Vol.21 (4), p.1045-1056 |
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| container_title | Methodology and computing in applied probability |
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| creator | Behzad, Ramin Salehi Rad, Mohammad Reza Nematollahi, Nader |
| description | We consider a queueing system where some customers decide to simultaneously wait in two queues, rather than in a single queue, to receive their service. In practice, when there exists a number of queues rendering the same service, the customers may tend to simultaneously wait in more than one queue in order to receive the service sooner and thus scale down their waiting time. In this framework, the customers may abandon one of the queues when they are called to receive the service from the other. We treat this situation as customer reneging or abandonment. We study the customer’s waiting time under this model for the cases of independence and dependence of the waiting time random variables of the queues. In conducting this study, a Copula approach is applied to take into account the dependence structure of the waiting time random variables. We compare the numerical results of the dependence with that of the independence. |
| doi_str_mv | 10.1007/s11009-018-9647-y |
| format | Article |
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We compare the numerical results of the dependence with that of the independence.</description><subject>Abandonment</subject><subject>Business and Management</subject><subject>Customer services</subject><subject>Customers</subject><subject>Economics</subject><subject>Electrical Engineering</subject><subject>Life Sciences</subject><subject>Markov analysis</subject><subject>Mathematical models</subject><subject>Mathematics and Statistics</subject><subject>Queues</subject><subject>Queuing theory</subject><subject>Random variables</subject><subject>Statistics</subject><subject>Time dependence</subject><issn>1387-5841</issn><issn>1573-7713</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kN1LwzAUxYMoOKd_gG8Bn6P5aJr2ccxPGIhs4mPIktutY21nkir7702p4JNP58L9nXO5B6FrRm8ZpeousCQloawgZZ4pcjxBEyaVIEoxcZpmUSgii4ydo4sQdpRyJkU2Qfqthx4C_q7jFi_rpt9H00LXBzzzvv4ye9xVeN6H2DXgAzatw3EL-B4O0DpoLeBl9L2NvYeBHHYfpo51u8GruoFwic4qsw9w9atT9P74sJo_k8Xr08t8tiBWsDySQlIOpTKmKKmiZe64yywHRkGurZHGOMkro5SwylVOMGYACk5zK0qXV2sjpuhmzD347jM9FPWu632bTmpOZVnIPJNFothIWd-F4KHSB183xh81o3roUY896tSjHnrUx-Thoycktt2A_0v-3_QDyWd3bA</recordid><startdate>20191201</startdate><enddate>20191201</enddate><creator>Behzad, Ramin</creator><creator>Salehi Rad, Mohammad Reza</creator><creator>Nematollahi, Nader</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>88I</scope><scope>8AO</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>L.-</scope><scope>L6V</scope><scope>M0C</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>PYYUZ</scope><scope>Q9U</scope></search><sort><creationdate>20191201</creationdate><title>Queues with Simultaneous Arrival of Customers and the Dependence Structure of the Waiting Times</title><author>Behzad, Ramin ; 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| source | Business Source Complete; SpringerLink Journals - AutoHoldings |
| subjects | Abandonment Business and Management Customer services Customers Economics Electrical Engineering Life Sciences Markov analysis Mathematical models Mathematics and Statistics Queues Queuing theory Random variables Statistics Time dependence |
| title | Queues with Simultaneous Arrival of Customers and the Dependence Structure of the Waiting Times |
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