Skillet (band) Tour). In fall of 2009, Skillet began touring with Hawk Nelson, Decyfer Down, and The Letter Black to promote Skillet's album "Awake". The Awake & Alive Tour encompassed 52 cities from October through January. Skillet appeared at the 2009 Night of Joy Christian rock festival at Disney's Hollywood Studios at Walt Disney World. This marked the band's first absence from Universal Studios Orlando's Rock the Universe in five years due to conflicting schedules. However, they were able to perform the following year, in 2010. On September 26, 2009, Skillet appeared at Awakening Music Festival in Leesburg, Virginia, alongside Jeremy Camp,
Envy-free item assignment the agents' utilities are not additive, the MNW solution is not necessarily EF1; but if the agents' utilities are at least submodular, the MNW solution satisfies a weaker property called "Marginal-Envy-Freeness except-1-item" (MEF1). There is an alternative criterion called Envy-freeness-except-cheapest (EFx): For each two agents A and B, if we remove from the bundle of B "any" item, then A does not envy B. EFx is strictly stronger than EF1. As of this writing, it is not known whether EFx allocations always exist. Given an allocation "X", define the envy ratio of "i" in "j" as: so the ratio is