A polynomial-time algorithm for computing an optimal admission policy in a GI/M/1/N queue (Q1821013)

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scientific article; zbMATH DE number 3997522
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A polynomial-time algorithm for computing an optimal admission policy in a GI/M/1/N queue
scientific article; zbMATH DE number 3997522

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    A polynomial-time algorithm for computing an optimal admission policy in a GI/M/1/N queue (English)
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    1986
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    A polynomial-time algorithm is proposed for computing an optimal admission policy for GI/M/1/N queueing systems. The approach is based upon mathematical programming in which a pointwise minimal value function is to be found subject to a finite number of dynamic programming type constraints. The program is transformed by Fourier-Motzkin elimination into equivalent reduced system to which a simple, forward-substitution type algorithm can be applied.
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    polynomial-time algorithm
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    optimal admission policy
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    GI/M/1/N queueing systems
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    Fourier-Motzkin elimination
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