# Combinatorial Problems Arising in Deregulated Electrical Power Industry: Survey and Future Directions

## Abstract

We study the complexity of various combinatorial problems arising in the context of production and transmission of electric power. The problems studied here are motivated by the recent shift towards deregulating the electric power industry. These problems are natural **NP**-hard generalizations of the single (multi)-commodity flow problems. A prototypical problem arising in this context a network with fixed link capacities that may have to service large demands when necessary. In particular, individual demands are allowed to exceed capacities, and thus flows for some request pairs necessarily have to be *split* into different flow-paths.

- 1.
providing mathematical justification for selecting one policy over another (solely on the basis of computational complexity)

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demonstrating that the problems at hand much harder than the traditional problems of optimal scheduling and

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providing preliminary experimental evidence that simple heuristics are attractive candidates for solving the problems near optimally.

We conclude with a brief description of our current research work and directions for future research.

## Keywords

Succinct Specifications Computational Complexity Efficient and Non-Efficient Approximability.## Preview

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