Effect of Energy and Failure Rate in a Multi-Item Smart Production System

Abstract

To form a smart production system, the effect of energy and machines’ failure rate plays an important role. The main issue is to make a smart production system for complex products that the system may produce several defective items during a long-run production process with an unusual amount of energy consumption. The aim of the model is to obtain the optimum amount of smart lot, the production rate, and the failure rate under the effect of energy. This study contains a multi-item economic imperfect production lot size energy model considering a failure rate as a system design variable under a budget and a space constraint. The model assumes an inspection cost to ensure product’s quality under perfect energy consumption. Failure rate and smart production rate dependent development cost under energy consumption are considered, i.e., lower values of failure rate give higher values of development cost and vice versa under the effect of proper utilization of energy. The manufacturing system moves from in-control state to out-of-control state at a random time. The theory of nonlinear optimization (Kuhn–Tucker method) is employed to solve the model. There is a lemma to obtain the global optimal solution for the model. Two numerical examples, graphical representations, and sensitivity analysis of key parameters are given to illustrate the model.

Economic Analysis of an Integrated Production–Inventory System under Stochastic Production Capacity and Energy Consumption

“…The developed model was tested with numerical analysis and sensitivity analysis of the key input parameters. The modified values of input data were obtained from [26,28] and are given in Table 2.…”

“…During a long-run production, a common phenomenon is the break down of the machine and production system. The system and machine break down results in higher energy usage and production of defective items [26]. The study shows that energy consumption is a critical factor as it raises the cost of the system, even if the smart production system is considered.…”

“…Recently, Bazan et al [24] studied supply chain coordination under energy consumption in two-echelon supply chain model. Sarkar et al [26] studied a smart production system under energy usage. However, none of the existing models consider energy usage with an unreliable production system with stochastic machine failure and repair time.…”

“…The study is further discussed with technology investment to improve the design variable of manufacturing system and reduce machine break downs [30]. Recently, Bhuniya et al [31] extended the case of manufacturing reliability [26] for imperfect production process for bivariate dependent demand rate. Yao et al [32] also developed manufacturing models based on manufacturing reliability for smart manufacturing.…”

An Automated Smart EPQ-Based Inventory Model for Technology-Dependent Products under Stochastic Failure and Repair Rate

“…The study suggests that smart production system offers better production strategy with controllable production rate rather than conventional systems. This work is further extended to the case of complex multi-item smart production system by [3]. The bio-drugs industry is another example of high-tech products which require very high volumes of manufacturing capacity.…”