Paper #314

Título:

Optimization of multiclass queueing networks with changeover times via the achievable region method: Part II, the multi-station case

Autores:

Dimitris Bertsimas y José Niño-Mora

Fecha:

Septiembre 1996

Resumen:

We address the problem of scheduling a multi-station multiclass queueing network (MQNET) with server changeover times to minimize steady-state mean job holding costs. We present new lower bounds on the best achievable cost that emerge as the values of mathematical programming problems (linear, semidefinite, and convex) over relaxed formulations of the system's achievable performance region. The constraints on achievable performance defining these formulations are obtained by formulating system's equilibrium relations. Our contributions include: (1) a flow conservation interpretation and closed formulae for the constraints previously derived by the potential function method; (2) new work decomposition laws for MQNETs; (3) new constraints (linear, convex, and semidefinite) on the performance region of first and second moments of queue lengths for MQNETs; (4) a fast bound for a MQNET with N customer classes computed in N steps; (5) two heuristic scheduling policies: a priority-index policy, and a policy extracted from the solution of a linear programming relaxation.

Palabras clave:

Multiclass queueing network, changeover times, optimal scheduling, performance region, linear programming relaxation, semidefinite programming, convex programming

Códigos JEL:

C61, C63

Área de investigación:

Gestión de la Producción y de las Operaciones

Publicado en:

Mathematics of Operations Research, 24, (1999), pp. 331-361

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