Machine parameter selection for turning with constraints: an analytical approach based on geometric programming

An integrated process planning approach for CNC machine tools

“…There are six different tool types available whose technological parameters and the other input data are presented in Tables 2 and 3 Table 4, this procedure is illustrated for the volume-ll and tool-6 pair, i.e. operation (11,6). Here, one should note that we found a better solution by decreasing the tool usage since the increase in the cost of SMOP has been justified by the decrease in the overall cost.…”

“…In step 4, we determine the tools for the set Je for which the tool availability constraint is violated, as follows: Table 4. Finding the minimum cost for operation (11,6). For the tool-5, there exists an excess of 2 tools, so this tool and its corresponding volume are appended in the following reservation sets and the available quantity on hand is updated: 7 = {3}, 2 = {5} and t5 = 2.…”

“…The above problem can be solved by using geometric programming (GP) in a reasonable computational time [10,11]. The associated GP-Dual problem for the above formulation is given below.…”

Machining conditions-based preventive maintenance

“…To the best of our knowledge, maintenance-related cost parameters are not considered in the SMOP formulations in the existing literature. Gopalakrishnan and Al-Khayyal (1991) and Akturk and Avci (1996) are two examples that study the SMOP with only machining and tooling cost terms. We provide a new mathematical model for the SMOP that includes a PM cost term in the objective function and prove an optimality condition for the new problem.…”

“…Three conflicting objectives of minimizing total cost, production time and surface roughness are considered simultaneously and a heuristic approach is discussed. Gopalakrishnan and Al-Khayyal (1991) provide an analytical tool for the selection of machining conditions in the turning process to minimize total cost of machining and tooling. In these approaches, Taylor's tool life formula is used to represent the relationship between the cutting speed and tool life (Groover 2002).…”