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The authors consider a single-link loss system of fixed capacity, which accommodates K service-classes of Poisson traffic with elastic bandwidth-per-call requirements. When a new call cannot be accepted in the system with its peak-bandwidth requirement, it can retry one or more times (single and multi-retry loss model, respectively) to be connected in the system with reduced bandwidth requirement and increased service time, exponentially distributed. Furthermore, if its last bandwidth requirement is still higher than the available link bandwidth, it can be accepted in the system by compressing not only the bandwidth of all in-service calls (of all service-classes) but also its last bandwidth requirement.
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