LINE Solver (C++)
Templated C++ port of the LINE queueing solver
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qsys_gig1_rqt.h File Reference

Robust Queueing Theory (RQT) worst-case system time of a G/G/1 FCFS queue, the single-server case of qsys_gigk_rqt (Theorem 2 and eq. More...

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Namespaces

namespace  line
namespace  line::qsys

Functions

template<class T>
GigkRqtResult< T > line::qsys::qsys_gig1_rqt (const T &lambda, const T &mu, const T &Gamma_a, const T &Gamma_s, const T &alpha_a, const T &alpha_s)
 Robust Queueing Theory (RQT) worst-case system time of a G/G/1 FCFS queue, the single-server case of qsys_gigk_rqt (Theorem 2 and eq.
template<class T>
GigkRqtResult< T > line::qsys::qsys_gig1_rqt (const T &lambda, const T &mu, const T &Gamma_a, const T &Gamma_s)
 Finite-variance case, alpha_a = alpha_s = 2.

Detailed Description

Robust Queueing Theory (RQT) worst-case system time of a G/G/1 FCFS queue, the single-server case of qsys_gigk_rqt (Theorem 2 and eq.

12).

Templated port of matlab/src/api/qsys/qsys_gig1_rqt.m, cross-checked against jar/src/main/java/jline/api/qsys/Qsys_gig1_rqt.java.

Reference: C. Bandi, D. Bertsimas, N. Youssef (2015). Robust Queueing Theory. Operations Research 63(3), 676-700.

Definition in file qsys_gig1_rqt.h.