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29th of March 2017
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Conference of European Statistics Stakeholders - call for abstracts

20th of April 2016
Submit your abstract and participate to the Second Conference of European Statistics Stakeholders, that will be held in Budapest, 20-21, October 2016. Read more...

Werk mee aan internationale normen voor statistische methoden voor Six Sigma, QFD en SPC

18th of December 2015
Voldoet mijn product aan kwaliteitseisen? Hoe kan ik mijn processen efficiënter maken? Sluit mijn product aan bij de wensen van de klant of andere stakeholders?   Read more...

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An Invitation Control Policy for Proactive Service Systems: Balancing Efficiency, Value and Service

When:  18th of May 2017
Starttime  11-12

Galit Yom-Tov (Technion - Israel Institute of Technology)  - An Invitation Control Policy for Proactive Service Systems: Balancing Efficiency, Value and Service Level

Thursday 18 May, 11.00-12.00, Room MF 11-12 (4th floor, MetaForum Building, TU/e)

ABSTRACT

Proactive service systems permit a controllable arrival rate managed by the service provider, which is different from classic service systems. Conceptually, some (or all) of the customers are invited to the system, so as to allow for a better control over operational indicators and profitability. Such a proactive service system is used, for example, to model an online chat service system, or for planning preventive care strategies for health care service providers.
Through an empirical study of a proactive chat service system, the validity of customer ranking information is elaborated for optimizing invitation control. It is also shown that service level measures can be formulated in terms of penalty for abandonment and cost of waiting. We also discuss the difference between external and internal waiting observed in such systems.

As a result, we develop an infinite-time-horizon multiclass multiserver queueing system with impatient invited customers. We find an asymptotically optimal policy using a fluid approximation, by solving a linear programming problem that maximizes revenues. The asymptotic optimal invitation policy we developed invites customers by their rμ ranking in decreasing order until there are no idle servers. Then, an equivalent threshold policy is proposed that is easy to implement in practice. Numerical simulations were performed to demonstrate the performance of the policy and identify its limitations. We show that the fluid policy has a good performance but is also crude.

In order to refine the fluid policy, we analyzed a fluid approximation of the system under a more flexible threshold policy, that is easily applicable. The equilibrium is found to be asymptotically stable and strongly depend on system parameters, including customers' patience that was previously ignored. Moreover, it depends on the threshold value applied. In order to propose an invitation policy that balances revenues and service level, the probability of implementing admission control is approximated, as well as other performance metrics.

Joint work with Yueming Xie and Liron Yedid-Zion

Upcoming events of the Eindhoven Stochastics Colloquium: http://www.win.tue.nl/StoSem/

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“Community Detection and Network Reconstruction”

Eurandom, Eindhoven
19th of September 2017 - 22nd of September 2017 Read more...

Lunteren Meeting

`De Werelt' in Lunteren
13th of November 2017 - 15th of November 2017 Read more...

YEQT workshop

Eurandom
11th of December 2017 - 15th of December 2017 Read more...




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