Volume 53, Number 4, October 2019
|Page(s)||1427 - 1451|
|Published online||13 September 2019|
Influence of controllable lead time, premium price, and unequal shipments under environmental effects in a supply chain management
Department of Mathematics & Statistics, Banasthali Vidyapith, 304 022 Banasthali, Rajasthan, India
2 Department of Industrial & Management Engineering, Hanyang University, 15588 Ansan, Gyeonggi-do, South Korea
* Corresponding author: firstname.lastname@example.org
Accepted: 30 May 2018
Recently, carbon emission becomes a major issue during transportation of products from one player to another player. Due to the increasing number of single-setup-multi-delivery (SSMD) policies by several industries, fixed and variable transportation cost and carbon emission cost are considered. The aim of the model is to reduce the total cost of supply chain for controlling the lead time and to diminish setup cost by a discrete investment. A premium cost is introduced and Stackelberg game policy is employed to obtain the analytical solution. Some numerical examples are given to validate the model. Sensitivity analysis and managerial insights are given to show the applicability of the model. Finally, the outcomes show that the model minimizes the optimum cost at the optimal values of the decision variables. It is found that the total cost is minimized when the multi-buyer is leader and vendor is follower.
Mathematics Subject Classification: 90B05 / 90B06
Key words: Supply chain management / unequal shipment size / discrete setup cost reduction / transportation cost / carbon emission cost / Stackelberg game
© EDP Sciences, ROADEF, SMAI 2019
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