A transportation problem in which costs depend on the order of arrival

Article Abstract:

A problem is developed which uses supplied item travel time averages to determine the 'cost' of satisfying the demand at a particular location. Items that arrive first receive the greatest weight, and decreasing weights are given to each succeeding item. An equivalent transportation problem is used for problems with a known demand. If the demand is stochastic a transportation problem whose aim is to minimize the sum of a linear function is used. The function is linearized by substituting the product and a linear term for the convex function.

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A dynamic programming approach to stochastic assembly line balancing

Article Abstract:

Two dynamic programming algorithms are developed for a problem involving the minimization of the number of needed workstations for an assembly line when processing times are normally distributed, independent random variables. The algorithms are based on the works of Held et al. (1963) and Kao (1976), and results indicate that they are more efficient than the alternative dynamic programming approach suggested by Henig (1986).

Production control, Assembly-line balancing

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Optimally balancing large assembly lines with 'FABLE'

Article Abstract:

An algorithm for optimally balancing assembly lines is presented. The Fast Algorithm for Balancing Lines Effectively (FABLE) obtains optimal solutions for balancing ten lines with 1,000 tasks each. FABLE is a branch and bound algorithm that uses a minimal amount of computer time and a small amount of computer time.

Usage, Branch and bound algorithms

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