Properties of expected costs and performance measures in stochastic models of scheduled transport

Article Abstract:

The impact of scheduling changes on the operational costs and reliability of public transport systems was investigated. Specifically, a stochastic model was developed to characterize the deviations between the actual times and the scheduled times as well as the correlations between the arrivals, departures and lateness of different transport units. Its convexity properties, which was obtained under two assumptions, enable the use of search algorithms for optimizing the schedule of public transit networks.

Scheduling (Management), Transportation planning

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An exact algorithm for general, orthogonal, two-dimensional knapsack problems

Article Abstract:

A tree-search algorithm for solving the two-dimensional knapsack problem is introduced. The problem, which is otherwise known as the two-dimensional cutting-stock problem, pertains to the minimization of waste in the cutting of smaller pieces from a larger stock plate. To meet the constraint on the number of times a certain piece may be cut, it is formulated as a 0-1 integer programming problem to obtain a bound on the tree search.

Integer programming

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A moment based metric for 2-D and 3-D packing

Article Abstract:

An alternative moment-based metric is suggested for evaluating the effectiveness of 2-D and 3-D packing techniques.

Methods, Packing for shipment, Packing (Shipments)

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