Influence of controllable lead time, premium price, and unequal shipments under environmental effects in a supply chain management

Baishakhi Ganguly, Biswajit Sarkar, Mitali Sarkar, Sarla Pareek, Muhammad Omair

Research output: Contribution to journalArticle


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.

Original languageEnglish
Pages (from-to)1427-1451
Number of pages25
JournalRAIRO - Operations Research
Issue number4
Publication statusPublished - 2019 Oct 1


All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science Applications
  • Management Science and Operations Research

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