Tata Institute of Fundamental Research

A Model for Equilibrium in Some Service-provider User-set Interactions

Seminar
Speaker: N. Hemachandra (Industrial Engineering and Operations Research IIT Bombay Powai Mumbai 400076)
Organiser: Sandeep K Juneja
Date: Tuesday, 16 Apr 2013, 15:00 to 16:00
Venue: A-212 (STCS Seminar Room)

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Abstract:  We propose a model for interaction between an user-set (market) and a service-provider (firm) when the offered demand is sensitive to the offered Quality of Service. We show that, under fairly mild conditions, an equilibrium point or an equilibrium set exists when the service-provider bases its operational decisions as per an optimal policy of an average reward multi-chain Markov decision model. We illustrate these and related issues via a model for vehicle relocation system.