9 problems

Extension conjecture. The analytical results can be extended to the case of correlated channels.

Let $V^n$ and $U^n$ be the system-reliability and survivor-count value functions defined for $x=(x_1,\ldots,x_n)\in\mathbb R^n_+$ by … and … where $\mathcal A_n$ is the set of prog…

Let $K$ denote the number of epochs in the throughput-constrained online resource allocation model, and let the algorithm's regret be measured as a function of $K$. Regret-dependen…

Logarithmic finite-horizon separation conjecture. The correct asymptotic rate of this gap is $\ln T/T$, which would imply a separation between the infinite-horizon and finite-horiz…

Consider the resource-supplemented logistic network model … where $\bar r_i$ is the intrinsic growth rate, $r_i$ is the increase due to resource supplementation, and $q$ is the dri…

Let $r_1,r_2,r_3\geq 0$ be the growth-rate resources with $r_1+r_2+r_3=r$, and let $\rho$ denote the metapopulation growth rate for the tributary, straight, or distributary three-p…

Orbit-partition averaging conjecture. For any $n$, the averaged curing allocation satisfies

Let Problem be the general quadratic nonseparable resource allocation problem with generalized bound constraints, and consider its integer version, in which $x_i\in\mathbb{Z}$ for…

Multi-product pricing conjecture. The more general model where a purchase consumes units of multiple products (that is, components) can be solved using this framework and can gener…