### 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.

Original language | English |
---|---|

Article number | 2958 |

Journal | Energies |

Volume | 11 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2018 Nov |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Renewable Energy, Sustainability and the Environment
- Energy Engineering and Power Technology
- Energy (miscellaneous)
- Control and Optimization
- Electrical and Electronic Engineering

### Cite this

*Energies*,

*11*(11), [2958]. https://doi.org/10.3390/en11112958

}

*Energies*, vol. 11, no. 11, 2958. https://doi.org/10.3390/en11112958

**Effect of energy and failure rate in a multi-item smart production system.** / Sarkar, Mitali; Sarkar, Biswajit; Iqbal, Muhammad Waqas.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Effect of energy and failure rate in a multi-item smart production system

AU - Sarkar, Mitali

AU - Sarkar, Biswajit

AU - Iqbal, Muhammad Waqas

PY - 2018/11

Y1 - 2018/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85057436940&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057436940&partnerID=8YFLogxK

U2 - 10.3390/en11112958

DO - 10.3390/en11112958

M3 - Article

AN - SCOPUS:85057436940

VL - 11

JO - Energies

JF - Energies

SN - 1996-1073

IS - 11

M1 - 2958

ER -