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In this paper, we present a comparative study on the total revenue generated with pre-emptive and non pre-emptive priority scheduler for a fairly generic problem of pricing the server’s surplus capacity in a single server Markovian queue. The specific problem is to optimally price the server’s surplus capacity by introducing a new class of customers (secondary class) without affecting the pre-specified...
Conservation laws and the related achievable region for mean waiting times are important concepts in multi-class queues. The nice geometric polytope structure of this region driven by the conservation law is exploited extensively for dynamic control of multi-class queues. Such control problems have wide range of applications in computers, communication networks and manufacturing systems. Tail probability...
Many device to device communication networks can be modelled by multi-class tandem queues. In many applications, it is desired to have different quality of service for various classes. This can be achieved by implementing dynamic priority across classes. Performance analysis is an important aspect in such multi-class tandem queueing models for resource allocation. In this paper, we analyse two important,...
Completeness of some scheduling policies with mean waiting time performance measure is used quiet extensively in literature for dynamic control of multi-class queues due to its wide range of applications in computers, communication networks and manufacturing systems. For a single class queue, we introduce the idea of 2-moment completeness of a parametrized class of policies that also have to be non...
We discuss the idea of differential fairness in polling systems. One such example scenario is: primary customers demand certain Quality of Service (QoS) and the idea is to utilize the surplus server capacity to serve a secondary class of customers. We use achievable region approach for this. Towards this, we consider a two queue polling system and study its ‘approximate achievable region’ using a...
Small cell networks promise to boost the capacity and provide good QoS (Quality of Service) to cell edge users. However they pose serious challenges, especially in the case of high speed unidirectional (e.g., users traveling on highways or in metros) users, in the form of frequent handovers. The extent of the handover losses depend greatly upon the speed of the user and it is shown previously that...
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