Abstract Risk aggregation and capital allocation are of paramount importance in business, as they play critical roles pricing, risk management, project financing, performance regulatory supervision, etc. The state-of-the-art practice often includes two steps: (i) determine standalone requirements for individual business lines aggregate them at a corporate level; (ii) allocate the total back to ...

Rapid economic and population growth has led to increased demand for water from the industrial and domestic sectors and put pressure on resources available for agricultural production. With growing scarcity and increasing inter-sectorial competition for water the need for efficient and sustainable water allocation policies has also become more important. Finding ways to meet this growing demand...

Power load management is the concept of controlling the loads at the demand side in order to run energy systems more efficiently. Energy systems are inherently highly distributed and contain large number of loads, up to some million. This implies that computationally and conceptually attractive methods are required for this application. In this paper we give two novel theorems for how to decomp...