WHAT IS A UNIT OF CAPACITY WORTH?

Authors:
B. A. Chiera;P. G. Taylor
Affiliations:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia, E-mail: bchiera@maths.adelaide.edu.au;Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia, E-mail: ptaylor@maths.adelaide.edu.au
Venue:
Probability in the Engineering and Informational Sciences
Year:
2002

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Abstract

Consider a finite-capacity telecommunications link to which connection requests arrive in a Poisson process. Each connection carried on the link earns a certain amount of revenue for the link's manager. Now, assume that the manager is offered the opportunity to buy or sell a unit of the link's allocated capacity. Assuming that the manager has a knowledge of the current number of connections on the link, we demonstrate a method of calculating the buying and selling prices.