10 problems
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Multi-process maximum-age threshold probing policy for age-of-information minimization
Let , let denote the energy state, let denote the ages of information of the processes, and define … Let and be the probing and sampling e…
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Conjecture that eSampling can be combined with alternative ADC technologies
eSampling technology conjecture. The concept of eSampling can also be combined with alternative ADC technologies other than S/H.
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Optimality of the proposed status updating policies among all online policies
Optimality conjecture. The optimality of the proposed policies can be extended from the considered subset to all online policies.
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Optimality of CSCG input at low delivery power
Consider the capacity of the wireless information and power transfer channel under average power constraints and output outage probability (OOP) constraints, where OOP constraints…
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The highest-energy-state threshold conjecture for age-optimal energy harvesting
In an age-of-information scheduling system with energy harvesting, finite battery capacity, and age-based threshold policies, let the highest energy state denote the battery state…
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Minimum-length property of the optimal transmitted-energy curve
Minimum-length conjecture. If the optimal policy uses all available energy, so that , then minimizes this length among all feasible transmitted-energy curve…
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The aggressive fetch and caching conjecture for GreenDelivery
Let be the energy threshold governing whether the small cell fetches contents from the macro base station, with smaller corresponding to more aggressive fetching and ca…
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Monotonicity conjecture for transmission probability in opportunistic wireless energy harvesting
Let denote the transmission probability of a secondary transmitter and let denote the transmit power of the secondary transmitter in the case , where is the ba…
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Suboptimality conjecture for power policies in energy-harvesting batteries
Power-policy suboptimality conjecture. All such power policies are suboptimal because they fail to control the overflow in the battery.
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Conjecture on the achievable region from Shannon strategies and Markov coding
The channel has two encoders with energy-harvesting states, and achievable regions can be obtained using either Shannon strategies or block Markov coding to convey compressed state…