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Abstract
This study considers a two-echelon competitive supply chain consisting of two rivaling retailers and one common supplier with trade credit policy. The retailers hope that they can enhance their market demand by offering a credit period to the customers and the supplier also offers a credit period to the retailers. We assume that the market demand of the products of one retailer depends not only on their own market price and offering a credit period to the customers, but also on the market price and offering a credit period of the other retailer. The supplier supplies the product with a common wholesale price and offers the same credit period to the retailers. We study the model under a centralised (integrated) case and a decentralised (Vertical Nash) case and compare them numerically. Finally, we investigate the model by the collected numerical data.
Acknowledgements
The authors would like to express their gratitude to the editors and referees for their valuable suggestions and corrections to enhance the clarity of the present article. The first author also acknowledges the department of mathematics, Jadavpur University and Council of Scientific & Industrial Research, Govt. of India for financial assistance.
Additional information
Notes on contributors
Brojeswar Pal
Mr Brojeswar Pal is currently a junior research fellow at the Department of Mathematics, Jadavpur University, India, supported by the Council of Scientific and Industrial Research (CSIR), New Delhi, after qualifying in the NET (National Eligibility Test). He received his BSc degree in mathematics from the University of Kalyani, India, and his MSc degree in applied mathematics from Jadavpur University, India. His research interests cover areas in inventory control, supply chain management and modelling of production planning. He has published several papers in International Journal of Systems Science, Applied Mathematics and Computation, Economic Modelling, Journal of Manufacturing System, International Journal of Production Economics, among others.
Shib Sankar Sana
Dr Shib Sankar Sana is currently an associate professor in the Department of Mathematics at Bhangar Mahavidyalaya under the University of Calcutta. He served at the Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi, India, as an associate lecturer during 1999–2001. His main area of research is the modelling of production planning and inventory control. He has published over 84 papers in European Journal of Operational Research, International Journal of Production Economics, Computers and Mathematics with Application, Mathematical and Computer Modelling, Applied Mathematics and Computation, American Journal of Mathematical and Management Sciences, International Journal of Systems Science, Far East Journal of Applied Mathematics, Nonlinear Phenomena in Complex Systems, Advanced Modeling and Optimization, Vietnam Journal of Mathematics, Yugoslav Journal of Operational Research, International Journal of Operational Research, International Journal of Services Operations Management, International Journal of Modeling, Identification and Control, International Journal of Innovative Computing and Application, International Journal of Procurement Management, International Journal of Mathematics and Operations Research, IMA Journal of Management Mathematics, International Journal of Information and Decision Science, Indian Journal of Industrial and Applied Mathematics, International Journal of Management Science and Engineering Management, Applied Mathematical Modelling, Decision Support Systems, Service Sciences, among others. Due to research contributions, his name appeared in Merquis Who’sWho in the World and America 2009–10. He is a member of the editorial board of American Journal of Industrial and Business Management, American Journal of Computational and Applied Mathematics, International Journal of Advanced Mathematics and Universal Journal of Applied Mathematics.
Kripasindhu Chaudhuri
Prof. Kripasindhu Chaudhuri was a senior professor during 1983–2008 in the Department of Mathematics, Jadavpur University, India. He is now a UGC emeritus fellow in Jadavpur University. He received his BSc degree in mathematics, MSc degree in applied mathematics and PhD degree in fluid mechanics from Visva-Bharati University, Santiniketan, India. He was a visiting mathematician to the International Centre for Theoretical Physics (ICTP), Trieste, Italy, in 1986; a Fulbright scholar to the North Carolina State University, Raleigh, USA, in 1989; a Fellow of the National Academy of Sciences (FNASc), India, in 1996; and a Fellow of the Institute of Mathematics and its Applications (FIMA), UK, in 1999. He has so far guided 42 research scholars and has published 215 papers in international journals of repute in the areas of fluid mechanics, solid mechanics, computer science, atmospheric science, operations research, mathematical ecology, history of mathematics and marketing science.