Arc routing problems (ARPs) are defined and introduced. Following a brief history of
developments in this area of research, different types of ARPs are described that are …

This paper presents a review of the literature on generating cutting paths for laser cutting
machines. Firstly, the cutting path problem is defined including all relevant technical side …

This paper deals with generating cutting paths for laser cutting machines by representing a
tool path in a novel way. Using the new representation, the tool path problem can be viewed …

With the extensive application of laser cutting, the proper planning of the cutting path has a
significate impact on industrial production, like clothing, metalware, and furniture. This paper …

Some applications of the clustered travelling salesman problem Page 1 Journal of the
Operational Research Society (2002) 53, 972–976 ©2002 Operational Research Society Ltd. All …

We consider the issues of tool path optimisation under constraints and formulate a
mathematical problem of visiting megalopolises. The megalopolises model is the result of …

The problem of tool path optimization for CNC sheet metal cutting equipment is considered.
Sheet metal cutting equipment includes laser/plasma/gas/water-jet machines and some …

This paper deals with generating paths for cutting irregular parts nested on thin or thick
metal sheets. The objective is to minimise the total time required to cut all parts from the …

The optimal tool routing for cutting machines, also known as cutting path optimisation is an
important problem in production research. This problem is relevant in various manufacturing …

The problem of tool path optimization for CNC (Computer Numerical Control) thermal cutting
machines as well as its classification are considered. A new approach to solving Continuous …