Probability Of Cancellation Research Articles

An Airline Overbooking Policy

The paper presents a model for determining an overbooking policy for an airline. Of the three criteria chosen, the first two ensure that the probability of a rejection and the expected rejection level do not exceed given limits, and the third determines the loss incurred by rejecting a passenger relative to the profit of carrying one, thereby permitting maximization of the expected gain. The following three cases are considered: (a) Single-leg flight carrying a single type of passenger; (b) Single-leg flight carrying two types of passengers, and (c) Two-leg flight. It is assumed that all types of passengers generate the same profit for a given flight-leg, and differ only in probability of cancellation.

Phase Cancellation Probabilities for Several Sinusoidal Signals in Gaussian Noise

The problem of the detection of a noncoherent sinusoidal signal in the presence of Gaussian noise plus several other interfering sinusoidal signals is considered. The receiver operation consists of envelope detection followed by threshold decision, and the signals are assumed to have equal amplitudes. The probability of phase cancellation, i.e., the probability that the envelope falls below threshold, is calculated as a function of threshold setting, signal-to-noise power ratio, and the number of simultaneous signals.

Phase Cancellation in a Gaussian Noise Environment

The problem of phase concellation of two sinusoidal signals in the presence of Gaussian noise is considered for two types of decision schemes: comparison and threshold decision. The receiver is made up of several channels, each consisting of a narrow-band filter, envelope detecter, and decision circuit. In the case of comparison decision, the cancellation probability as a function of signal-to-noise ratio is derived for a two-channel receiver and then extended to <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m</tex> channels. The results derived are exact. In the case of threshold decision, the cancellation probability as a function of signal-to-noise ratio and threshold level is derived for the equal signal level case, then extended to the near-equal signal level case. The results obtained are approximate with an accuracy of better than 1 percent for signal-to-noise ratios greater than about 3 dB. In addition, exact results are derived for the noisefree case.