We consider a new and general online resource allocation problem, where the goal is to maximize a function of a positive semidefinite (PSD) matrix with a scalar budget constraint. The problem data arrives online, and the algorithm needs to make an irrevocable decision at each step. Of particular interest are classic experiment design problems in the online setting, with the algorithm deciding w...

We study repeated zero-sum games against an adversary on a budget. Given that an adversary has some constraint on the sequence of actions that he plays, we consider what ought to be the player’s best mixed strategy with knowledge of this budget. We show that, for a general class of normal-form games, the minimax strategy is indeed efficiently computable and relies on a “random playout” techniqu...

Könemann, Leonardi, and Schäfer [14] gave a 2-budget-balanced and groupstrategyproof mechanism for Steiner forest cost-sharing problems. We prove that this mechanism also achieves an O(log k)approximation of the social cost, where k is the number of players. As a consequence, the KLS mechanism has the smallest-possible worst-case efficiency loss, up to constant factors, among all O(1)-budget-ba...

Background: The construction of metro lines is a high-risk project. Using a budget-based model for the safety units of metro construction projects can help safety managers to spend optimal budget allocation. The purpose of this study was to plan a budget model based on safety unit performance in an under construction metro station for better budget allocation using robust optimization. Methods...

We consider cooperative traveling salesman games with non-negative asymmetric costs satisfying the triangle inequality. We construct a stable cost allocation with budget balance guarantee equal to the Held-Karp integrality gap for the asymmetric traveling salesman problem, using the parsimonious property and a previously unknown connection to linear production games. We also show that our techn...

Deep learning models’ architectures, including depth and width, are key factors influencing models’ performance, such as test accuracy and computation time. This paper solves two problems: given computation time budget, choose an architecture to maximize accuracy, and given accuracy requirement, choose an architecture to minimize computation time. We convert this architecture optimization into ...

We study the controller synthesis problem under budget constraints. In this problem, there is a cost associated with making an observation, and a controller can make only a limited number of observations in each round so that the total cost of the observations does not exceed a given fixed budget. The controller must ensure some ω-regular requirement subject to the budget constraint. Budget con...

This paper addresses a commercial districting problem arising in the bottled beverage distribution industry. The problem consists of grouping a set of city blocks into territories so as to maximize territory compactness. As planning requirements, the grouping seeks to balance both number of customers and product demand across territories, maintain connectivity of territories, and limit the tota...

In freight consolidation, a “fair” cost allocation scheme is critical for forming and sustaining horizontal cooperation that leads to reduced transportation cost. We study a cost-sharing problem in a freight consolidation system with one consolidation center and a common destination. In particular, we design a mechanism that collects bids from a set of suppliers, and then decides whose demand t...

Purpose – The purpose of this paper is to present a model to determine which roads to be built in each stage with limited budget. Design/methodology/approach – A multistage network discrete expansion model with budget restriction is formulated and a heuristic algorithm is developed by the technique of comparing the original shortest paths and the sum of crossed shortest paths to avoid computing...