A new analytical algorithm and generation of Gaussian quadrature formula for stochastic network

Article Abstract:

A novel analytical algorithm for the computation of network completion time distribution function has been developed. The algorithm, which is later simplified into simple multiple integrals via a transformation method, is true for instances where each arc exhibit a defined, independent and continuous completion time distribution function. The Gaussian quadrature formula is then generalized for the numerical solution of the derived integrals.

Algorithms, Stochastic processes, Gaussian processes, Integrals

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A new heuristic for minimal makespan in flow shops with multiple processors and no intermediate storage

Article Abstract:

The general scheduling problem in a flow shop with multiple processors (FSMP) is characterized by the processing n jobs through m stages with one more processors at each stage. The results indicate that the new heuristic performs statically better than other commonly used heuristics.

Scheduling (Management), Heuristic, Heuristics (Psychology)

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A new structural mechanism for reducibility of stochastic PERT networks

Article Abstract:

Usage of graph theory to formulate distribution functions, for structural mechanism to reduce network completion time in stochastic networks, is described.

Iran, Methods, Stochastic analysis, Graph theory

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