A stationary object is hidden in location i, i=1,2,...,K, with probability p i . There are M sensors available and each location can be searched by at most one sensor at each instant of time. Each search of a location takes one unit of time and is conducted independently of previous searches, so...

We study a new search problem in continuous time. In the traditional approach, the basic formulation is to maximize the expected (discounted) return obtained by taking a job, net of search cost incurred until the job is taken. Implicitly assumed in the traditional modeling is that the agent has...

A stationary object is hidden in location i, i=1,2,...,K, with probability p <Subscript> i </Subscript>. There are M sensors available and each location can be searched by at most one sensor at each instant of time. Each search of a location takes one unit of time and is conducted independently of previous searches,...</subscript>

We study a new search problem in continuous time. In the traditional approach, the basic formulation is to maximize the expected (discounted) return obtained by taking a job, net of search cost incurred until the job is taken. Implicitly assumed in the traditional modeling is that the agent has...

In this paper we study the problem of patrolling a perimeter. The general situation considered here can correspond to different tactical problems and it is studied from the point of view of game theory. To put the ideas in a context we describe it as follows. An intruder seeks to carry out a...

In this paper, an extension of the standard newsboy problem is presented, involving an extraordinary order and a variable mixture of backorders and lost sales. The backlogged demand ratio is given by a nonincreasing function of the quantity of shortage. Some general properties for the expected...

We consider a sequential screening problem where, in the contracting stage, the agent has private information on both the expected value and the spread of the unit cost of production. As the principal’s marginal surplus function becomes less concave / more convex in consumption units,...

A multidimensional-and-sequential screening problem arises in a framework where the agent is privately informed about expected cost and cost variability and, subsequently, learns the realized cost as well. As the principal's marginal surplus function becomes less concave/more convex, the optimal...