Multi-Objective Optimization Model of Multi-Pass Turning Operations to Minimize Energy, Carbon Emissions, and Production Costs

Abstract

Sustainable manufacturing aspects are environmental, economic, and social. These aspects can be applied to an optimization model in the machining process. An optimization model is needed to determine the optimum cutting parameters. This research develops a multi-objective optimization model that can optimize cutting parameters on a multi-pass turning. Decision variables are cutting parameters multi-pass turning. This research has three objective functions for minimizing energy, carbon emissions, and costs. Three functions are searched for optimal values using the GEKKO. A numerical example is given to show the implementation of the model and solved using GEKKO and Interior Point Optimizer (IPOPT). The results of optimization indicate that the model can be used to optimize the cutting parameters.

A Three-Echelon Dual-Channel Supply Chain Model with Learning Effect Under the Return Policy

“…The mathematical model for the refurbishment unit is expressed with differential equations in equation (7), describing the rate of change of the inventory level. With boundary conditions, 𝐼 2𝑚 (0) = 0, 𝐼 2𝑚 (𝑡 1 ) = (𝑧𝑝 𝑚 + 𝑥𝐷 𝑟 − 𝐷 𝑐 ′ )𝑡 1 , 𝐼 2𝑚 (𝑡 𝑚 ) = 0.…”

“…Companies and business organizations are striving to develop marketing strategies to sustain their existence [1]. Supply chain management (SCM) is one such effective strategy that presents an integrated way to resolve business-related issues to ensure better customer service and optimize business profit [2][3][4][5][6][7]. In practice, defective products are caused by machinery fault, defective raw materials, and the lethargy of laborers for continuous work.…”

Solving Just-in-Time Single Machine Scheduling with Variable Discrete Speed Machine using Hybrid NSGA-II

“…𝐺𝐷 measures the Euclidian distance from each nondominated solution found by an algorithm ( 𝐴 ) with the closest solution from the reference set of solutions (𝐵). 𝐺𝐷 is calculated using Equation (8).…”

“…All individuals classified in rank one were stored in the reference set. After that, the GD value for each run was calculated using Equation (8). The 𝐺𝐷 ̅̅̅̅ is the average 𝐺𝐷 of 10 runs for each instance.…”

“…One of the efforts made in efficiency and consumption reduction is by planning and scheduling their operation effectively. As a result, the research has shifted to creating a manufacturing environment that considers energy and sustainability [5][6][7][8]. Among the topics in this area, considerable research has been investigating energy-conscious scheduling in a hybrid flow shop [9].…”