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In general, the basic model is formulated as a Stratonovich stochastic differential equation with state space R d × S d − 1, d ∈ N, d ≥ 2, of the form d ξ t = ω t d t, d ω t = − Π [ ω t ] ∇ V ( ξ t ) d t + A Π [ ω t ] ∘ d W t, (1).
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Those traditional, basic models are formulated as mixed integer linear programs (MILP-model) and determine which facilities to open that minimize the investment, processing, transportation, disposal and penalty costs while supply, demand and capacity constraints are satisfied.
The basic SIR model is formulated by.
The basic EMQ model is formulated under general failure and general repair time distributions and the optimal production policy is derived for specific failure and repair time distributions viz., exponential failure and exponential repair time distributions.
A basic physical topology design model is formulated as a nonlinear mixed integer programming problem and a graph-based heuristic algorithm is developed to solve the problem.
The coupled gas/liquid flow model is formulated to gain basic understanding of gas flow effects on melt convection, heat and mass transfer during crystal growth by the Czochralski and Directional Solidification methods.
An incidence model is formulated from the basic principles of radiation heat transfer to predict the light intensity profile inside a photocatalytic monolith reactor, where a light-absorbing and light-reflecting catalytically active thin film is coated on the inner walls of monolith channels of either circular or square cross section.
The model is formulated in the framework of continuum mechanics following basic principles of irreversible thermodynamics.
In [24], a discrete mathematical model is formulated to investigate the transmission and control of SARS in China, where the basic reproductive number is obtained as a threshold to determine the asymptotic behavior of the model.
The model is formulated in Sect.
This model is formulated by Eq. (11).
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