Problem Set 1 . Dynamic Allocation Indices and Information

Microeconomic Theory ( 521 b ) Problem Set 1 . Dynamic Allocation Indices and Information

Efficient Dynamic Allocation with Uncertain Valuations∗

In this paper we consider the problem of efficiently allocating a given resource or object repeatedly over time. The agents, who may temporarily receive access to the resource, learn more about its value through its use. When the agents’ beliefs about their valuations at any given time are public information, this problem reduces to the classic multi-armed bandit problem, the solution to which ...

Adaptive policy of buffer allocation and preventive maintenance actions in unreliable production lines

The buffer allocation problem is an NP-hard combinatorial optimization problem, and it is an important design problem in manufacturing systems. The research proposed in this paper concerns a product line consisting of n unreliable machines with n − 1 buffers and a preventive maintenance policy. The focus of the research is to obtain a better trade-off between the buffer level ...

Multi-objective Dynamic Planning of Substations and Primary Feeders Considering Uncertainties and Reliability

This research uses a comprehensive method to solve a combinatorial problem of distribution network expansion planning (DNEP) problem. The proposed multi-objective scheme aims to improve power system's accountability and system performance parameters, simultaneously, in the lowest possible costs. The dynamic programming approach is implemented in order to find the optimal sizing, siting and timi...

Mathematical Model for Bi-objective Maximal Hub Covering Problem with Periodic Variations of Parameters

The problem of maximal hub covering as a challenging problem in operation research. Transportation programming seeks to find an optimal location of a set of hubs to reach maximum flow in a network. Since the main structure's parameters of the problem such as origin-destination flows, costs and travel time, change periodically in the real world applications, new issues arise in handling it. In t...