Preface -- Chapter 1. Basic Notions and Definitions -- 1.1. Introduction -- 1.2. Basic Notions of Analysis and Linear Algebra -- 1.3. Basic Notions and Properties of Optimization Problems -- Chapter 2. Elements of Convex Analysis. Theorems of the Alternative for Linear Systems. Tangent Cones --...

We study the problem of finding the profit-maximizing mechanism for a monopolistic provider of asingle, non-excludable public good. This problem has been well studied for the case when agents''types are independently distributed, but the literature is almost silent about the case of generaljoint...

This paper addresses two-dimensional trajectory optimization problems, where the mover''s speed monotonically decreases/increases in one of the space''s coordinates. For instance, it is well-known that the absolute value of the helicopter speed decreases in altitude because air pressure drops....

To verify whether a transferable utility game is exact, one has to check a linear inequalityfor each exact balanced collection of coalitions. This paper studies the structure andproperties of the class of exact balanced collections. Comparing the definition of exactbalanced collections with the...

To verify whether a transferable utility game is exact, one has to check a linear inequalityfor each exact balanced collection of coalitions. This paper studies the structure andproperties of the class of exact balanced collections. Comparing the definition of exactbalanced collections with the...

This paper addresses two-dimensional trajectory optimization problems, where the mover''s speed monotonically decreases/increases in one of the space''s coordinates. For instance, it is well-known that the absolute value of the helicopter speed decreases in altitude because air pressure drops....

More often than not production processes are the joint endeavor of people having different abilities and productivities. Such production processes and the associated surplus production are often not fully transparent in the sense that the relative contributions of involved agents are blurred;...

We consider a stochastic scheduling problem which generalizes traditional stochastic scheduling by introducing parameter uncertainty. Two classes of independent jobs have to be processed by a single machine so as to minimize the sum of expected completion times. The processing times of the jobs...

We consider a stochastic scheduling problem in which there is uncertainty about parame-ters of the probability distribution of the processing times. We restrict ourselves to the setting in which there are two different classes of jobs. The processing times of the jobs are assumed to be...