The path planning problem for arbitrary devices is rst and foremost a geometrical problem. For the eld of control theory, advanced mathematical techniques have been developed to describe and use geometry. In this paper, we use the notions of the ow of vector elds and geodesics in metric spaces to formalize and unify path planning problems. A path planning algorithm based on ow propagation is br...

Crises and natural disasters are always existed in human history, and continue to exist in the future; therefore, people are always affected by these natural disasters. Hence, evacuation planning after natural disasters (e.g., earthquakes, floods, tsunamis, fire, storms, warfare and nuclear explosions) is vital. Given that natural disasters cause irreparable financial loss and the loss of life ...

We generalise the interval-based relaxation to sequential numeric planning problems with non-linear conditions and effects, and cyclic dependencies. This effectively removes all the limitations on the problem placed in previous work on numeric planning heuristics, and even allows us to extend the planning language with a wider set of mathematical functions. Heuristics obtained from the generali...

Train planning is the process of assigning containers to certain wagons on an intermodal train. Currently, there is limited decision support used for train planning in Australia leading to costly rehandles when loading trains. Intermodal terminals are highly integrated systems that create a difficult planning environment for computerised decision support systems. We have addressed this difficul...

This paper focuses on a negotiation based collaborative planning process for order pattern determination of multi-period planning in a two-tier supply chain scenario. The aim is to study how negotiation based planning processes would be used to refine locally preferred ordering patterns, which would consequently affect the overall performance of the supply chain in terms of costs and service le...

Planning academic conferences is often a difficult, tedious and time-consuming task. This is because there are many possible designs that can be considered and created. Additionally many of the associated tasks are currently performed manually in an inefficient manner when they could easily be automated. The planning process is particularly important because high quality sessions can lose thei...

This paper describes a method for scheduling observations by earth-observing satellites. The underlying problem is translated into a directed acyclic graph for each satellite. Each arc in the graph has a profit related to the value associated with an image. Each arc of the graph also represents the constraints of the problem, including memory, time and orbits. The scheduling problem is solved b...

This paper provides a comprehensive literature review of mathematical models in cross docking planning. From the reviews, the models are classified in three different levels regarding its decisions level which are operational, tactical, and strategic level. The researches in operational level are mainly related to develop model in scheduling, dock door assignment, transhipment problem, vehicle ...

We describe a novel application of planning in the situation calculus to formalize the evolution of a database under update transactions. In the resulting theory, query evaluation becomes identical to the temporal projection problem. We next deene a class of axioms for which the classical AI planning technique of goal regression provides a sound and complete method for solving the projection pr...

We investigate the sales and operations planning (S&OP) problem at Vestel Electronics, a major television manufacturer located in Turkey. The company’s product portfolio is very wide due to a large number of configuration options, and changes rapidly due to technological advances. Demand volatility is high and materials procurement requires long lead times. Hence, the S&OP process is critical f...