Optimal inventory control with path-dependent cost criteria

History (Path) Dependent Optimal Control and Portfolio Valuation and Management

Regarding the evolution of financial asset prices governed by an history dependent (path dependent) dynamical system as a prediction mechanism, we provide in this paper the dynamical valuation and management of a portfolio (replicating for instance European, American and other options) depending upon this prediction mechanism (instead of an uncertain evolution of prices, stochastic or tychastic...

Finding the Cost-Optimal Path with Time Constraint over Time-Dependent Graphs

Shortest path query is an important problem and has been well studied in static graphs. However, in practice, the costs of edges in graphs always change over time. We call such graphs as timedependent graphs. In this paper, we study how to find a costoptimal path with time constraint in time-dependent graphs. Most existing works regarding the Time-Dependent Shortest Path (TDSP) problem focus on...

MULTI-CRITERIA PATH PLANNING WITH TERRAIN VISIBILITY CONSTRAINTS The Optimal Searcher Path Problem with Visibility

How can search theory and path planning concepts be used to formulate and to solve detection search problems in the context of a ground SAR operation while taking into account practical aspects such as terrain visibility constraints? As an answer to this research question, we have formulated a novel detection search problem to include the searcher's visibility constraints (the Optimal Searcher ...

Multi-Criteria Evaluation and Least Cost Path Analysis for Optimal Haulage Routing in Open-Pit Mines

Optimal control approach to production systems with inventory-level-dependent demand

Demand occasionally depends positively on the amount of displayed stock, especially in the case of novelty or impulse purchase items. Such inventory-level dependence of demand rate has been incorporated into some continuous review inventory control models, but only ones with demand rate which does not vary with time, no shortages, infinite production rate and per-unit-time cost minimization. We...