Multi-constraints in an integrated inventory model with learning and screening errors under greenhouse gas emissions

Abstract

An inventory model is developed for an economic production quantity model with learning in production and screening errors under greenhouse gas emissions. The main contribution of this paper is determining an optimal vendor–buyer inventory policy by accounting quality inspection errors at the buyer's end and learning in production at the vendor's end and also considering the Government's penalty and incentive policies to reduce the emission. The buyer warehouse has limited capacity and there is an upper bound on the purchase of products. Moreover, we consider the ordering cost is reduced by an extra investment. Also to find an optimal policy of the proposed mathematical model, a genetic algorithm is established. Numerical examples and sensitivity analysis are shown to illustrate the models.

Keywords:

• Buyer's space limitation
• learning in production
• greenhouse gas
• screening errors
• genetic algorithm

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The first author research work is supported by DST-INSPIRE Fellowship, Department of Ministry of Science and Technology, Government of India under the grant no. DST/INSPIRE Fellowship/2014/IF170071 and UGC-SAP, Department of Mathematics, The Gandhigram Rural Institute-Deemed to be University, Gandhigram-624302, Tamilnadu, India.

Notes on contributors

Hemapriya S.

Hemapriya S is a Full Time Research Scholar in the Department of Mathemtics at The Gandhigram Rural Institute (Deemed to be University), Gandhigram, India. He received his BSc in Mathematics from The Gandhigram Rural Institute (Deemed to be University), India in 2014 and MSc in Mathematics from The Gandhigram Rural Institute (Deemed to be University), India in 2016. His research interests include the following fields: operations research, inventory control, supply chain management.

Uthayakumar R.

Uthayakumar R is currently a Professor in the Department of Mathematics at The Gandhigram Rural Institute (Deemed to be University), Gandhigram, India. He received his MSc in Mathematics from the American College, Madurai, India in 1989 and PhD in Mathematics from The Gandhigram Rural Institute (Deemed to be University), Gandhigram, India in 2000. He has published about 80 papers in international and national journals. His research interests include the following fields: operations research, industrial engineering and fractal analysis.