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Optimal lot size determination of multistage production system

Jindřich L. Klapka (1978)

Aplikace matematiky

This paper deals with the optimization of total setup plus inventory cost of a certain class of the multistage inventory-production systems with the series arranged production stages having generally different production rates, separated by stores from each other. The optimization is made by the choice of lot sizes across an infinite time horizon. The exact cost-optimization algorithm based on the Bellman optimality principle is derived and applied for deriving two lower bounds of the optimal cost...

Optimal networks for mass transportation problems

Alessio Brancolini, Giuseppe Buttazzo (2005)

ESAIM: Control, Optimisation and Calculus of Variations

In the framework of transport theory, we are interested in the following optimization problem: given the distributions μ + of working people and μ - of their working places in an urban area, build a transportation network (such as a railway or an underground system) which minimizes a functional depending on the geometry of the network through a particular cost function. The functional is defined as the Wasserstein distance of μ + from μ - with respect to a metric which depends on the transportation network....

Optimal networks for mass transportation problems

Alessio Brancolini, Giuseppe Buttazzo (2010)

ESAIM: Control, Optimisation and Calculus of Variations

In the framework of transport theory, we are interested in the following optimization problem: given the distributions µ+ of working people and µ- of their working places in an urban area, build a transportation network (such as a railway or an underground system) which minimizes a functional depending on the geometry of the network through a particular cost function. The functional is defined as the Wasserstein distance of µ+ from µ- with respect to a metric which depends on the transportation...

Optimal policies for a database system with two backup schemes

Cunhua Qian, Yu Pan, Toshio Nakagawa (2002)

RAIRO - Operations Research - Recherche Opérationnelle

This paper considers two backup schemes for a database system: a database is updated at a nonhomogeneous Poisson process and an amount of updated files accumulates additively. To ensure the safety of data, full backups are performed at time N T or when the total updated files have exceeded a threshold level K , and between them, cumulative backups as one of incremental backups are made at periodic times i T ...

Optimal Policies for a Database System with Two Backup Schemes

Cunhua Qian, Yu Pan, Toshio Nakagawa (2010)

RAIRO - Operations Research

This paper considers two backup schemes for a database system: a database is updated at a nonhomogeneous Poisson process and an amount of updated files accumulates additively. To ensure the safety of data, full backups are performed at time NT or when the total updated files have exceeded a threshold level K, and between them, cumulative backups as one of incremental backups are made at periodic times iT(i = 1,2,...,N - 1). Using the theory of cumulative processes, the expected cost is obtained,...

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