On $$M^{X}/G(M/H)/1$$ M X / G ( M / H ) / 1 retrial system with vacation: service helpline performance measurement
| Autor: | Xue-Ming Yuan, Wee Meng Yeo, Joyce M.W. Low |
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| Rok vydání: | 2016 |
| Předmět: |
Service (business)
Waiting time 021103 operations research Operations research InformationSystems_INFORMATIONSYSTEMSAPPLICATIONS Real-time computing 0211 other engineering and technologies General Decision Sciences 02 engineering and technology Management Science and Operations Research 01 natural sciences 010104 statistics & probability Helpline Performance measurement Performance indicator 0101 mathematics Queue Mathematics |
| Zdroj: | Annals of Operations Research. 248:553-578 |
| ISSN: | 1572-9338 0254-5330 |
| DOI: | 10.1007/s10479-016-2207-3 |
| Popis: | This paper analyzes an unreliable $$M^{X}/G(M/H)/1$$ retrial system with vacation. We present closed-form expressions for the important performance indicators of the system, and derive the optimal vacation policies for minimizing the average waiting time of orbiting customers. The performance metrics relevant for helpline services are developed. Numerical experiments are conducted to examine the effect of vacation policy on the queue length and busy period of the system. |
| Databáze: | OpenAIRE |
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