This book chapter reviews some of the major principles associated with optimal strategy in basketball. In particular, we consider the principles of allocative efficiency (optimal allocation of shots between offensive options), dynamic efficiency (optimal shot selection in the face of pressure from the shot clock), and the risk/reward tradeoff (strategic manipulation of outcome variance). For ea...

Transmission pricing has become a central issue in the discussions regarding the redesign of deregulated electricity markets. In that frame, open access to the transmission system is one of the fundamental topics to allow competition among agents in the energy market. Although transmission systems costs represent close to 10% of the energy market price, they have a significant impact on relativ...

The e cient allocation of tasks to groups of agents has been studied extensively in various scenarios. In this thesis we look at the task allocation problem with the added parameter of multiple times at which the job may be completed. We consider both the settings where there is a single task to be done and also where there are multiple subtasks of a composite task to be completed. We model the...

Proof of Lemma 2. Consider an allocation g(x) that satisfies (IC) and (F). We construct a monotonic g̃(x) that preserves constraints (IC) and (F), but increases the principal’s payoff. We have assumed that F has almost everywhere positive density, so F−1 exists. Define S(t) = ∣∣{y : g(F−1(y)) ≤ t}∣∣, t ∈ R+. Note that S is weakly increasing and satisfies S(t) ∈ [0, 1] for all t. Define g̃(x) = S−...

A bi-objective mathematical model is developed to simultaneously consider the quay crane and yard truck scheduling problems at container terminals. Main real-world assumptions, such as quay cranes with non-crossing constraints, quay cranes’ safety margins and precedence constraints are considered in this model. This integrated approach leads to better efficiency and productivity at container te...

in recent years, due to absence of integrated watershed management in most regions, natural resources have witnessed numerous damages with severe floods as one of its consequences which further leads to economic, social and environmental damages. presently, there is no optimal utilization of land in most watersheds hence no optimal model matching with facilities and objectives is used in the wa...

Economic principles, which under-pin most appraisal methods, are widely accepted to lead to a more efficient and effective allocation of both public and private sector resources. The methods used in modelling transport movement and the framework used in evaluation is clearly (if not perhaps fully) defined. Economic principles have had an important influence in both model development and the der...

We investigate the role of real estate in a mixed-asset portfolio when the maximum drawdown (hereafter MaxDD), rather than the standard deviation, is used as the measure of risk. In particular, we analyse whether the discrepancy between the optimal allocation to real estate and the actual allocation by institutional investors is less when a Return/MaxDD framework is used. The empirical analysis...

In ruin theory, the univariate model may be found too restrictive to describe accurately the complex evolution of the reserves of an insurance company. In the case where the company is composed of multiple lines of business, we compute asymptotics of finite-time ruin probabilities. Capital transfers between lines are partially allowed. When claim amounts are regularly varying distributed, sever...

Dependence structures of multiple risks play an important role in optimal allocation problems for insurance, quantitative risk management, and finance. However, in many existing studies on these problems, risks or losses are often assumed to be independent or comonotonic or exchangeable. In this paper, we propose several new notions of dependence to model dependent risks and give their characte...