# Packing, Scheduling and Covering Problems in a Game-Theoretic Perspective

@article{Kleiman2011PackingSA, title={Packing, Scheduling and Covering Problems in a Game-Theoretic Perspective}, author={Elena Kleiman}, journal={ArXiv}, year={2011}, volume={abs/1110.6407} }

Many packing, scheduling and covering problems that were previously considered by computer science literature in the context of various transportation and production problems, appear also suitable for describing and modeling various fundamental aspects in networks optimization such as routing, resource allocation, congestion control, etc. Various combinatorial problems were already studied from the game theoretic standpoint, and we attempt to complement to this body of research.
Specifically…

## 4 Citations

### Inefficiency of equilibria for the machine covering game on uniform machines

- EconomicsActa Informatica
- 2012

The problem of measuring the inefficiency of equilibria on two uniform machines is completely solved, and the Price of Stability and Price of Anarchy are presented as a function of s, the ratio of the speeds of the two machines.

### The cost of selfishness for maximizing the minimum load on uniformly related machines

- MathematicsJ. Comb. Optim.
- 2014

The price of anarchy (poa) and the price of stability (pos) for uniformly related machines are studied and it is shown that while the poa grows to infinity as s tends to 2, the pos is at most 2 for any s≤2.

### Towards Bin Packing (preliminary problem survey, models with multiset estimates)

- BusinessArXiv
- 2016

A generalized integrated glance to bin packing problems including a brief literature survey and some new problem formulations for the cases of multiset estimates of items are described.

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