Some products like green vegetables, volatile liquids and others deteriorate continuously due to evaporation, spoilage etc. In this study, an inventory model is developed for deteriorating items with linearly time dependent demand rate under inflation and time discounting over a finite planning horizon. Shortages are allowed and linearly time dependent. Mathematical model is presented for the p...

A methodology is proposed to generate minimum-time optimal velocity profiles for a vehicle with prescribed acceleration limits along a specified path. The necessary optimality conditions are explicitly derived, allowing the construction of the optimal solution semi-analytically. A receding horizon implementation is also proposed for the on-line implementation of the velocity optimizer. Robustne...

This paper investigates a multi-period rectilinear distance 1-center location problem considering a line-shaped barrier, in which the starting point of the barrier follows the uniform distribution function. In addition, the existing points are sensitive to demands and locations. The purpose of the presented model is to minimize the maximum barrier distance from the new facility to the existing ...

We estimate a behavioral New Keynesian (NK) model in which households and firms plan over finite horizon. The finite-horizon planning (FHP) outperforms rational expectations versions of the NK as well other models. In FHP model, are forward-looking thinking about events their horizon but backward-looking regarding beyond that point. This gives rise to substantial aggregate persistence without r...

Applications such as robot control and wireless communication require planning under uncertainty. Partially observable Markov decision processes (POMDPs) plan policies for single agents under uncertainty and their decentralized versions (DEC-POMDPs) find a policy for multiple agents. The policy in infinite-horizon POMDP and DEC-POMDP problems has been represented as finite state controllers (FS...

Using mobile sensors to perform optimal measurement and estimation of a distributed parameter system in a domain of interest is considered in this paper. Given parameters, how to optimally plan the motion trajectories of the mobile sensors has been known in the literature, where the purpose of mobile sensing is to best estimate the parameters. Clearly, there is a “chick-and-egg” problem regardi...

This paper considers trajectory planning problems for autonomous robots in information gathering tasks. The objective of the planning is to maximize the information gathered within a finite time horizon. It is assumed that either the Extended Kalman Filter (EKF) or the Extended Information Filter (EIF) is applied to estimate the features of interest and the information gathered is expressed by ...