Samiran Karmakar is Assistant Professor in Mathematics, Bankura Sammilani College, Bankura, West Bengal and is actively engaged in research in the field of Optimization Theory and Operational Research. Formerly, he was Assistant Professor in Mathematics, St. Xavier’s College, Kolkata. Sibdas Karmakar was former Associate Professor in Mathematics, Ramananda College, Bankura, West Bengal and has been associated with the teaching of honors in Mathematics for decades. He has also taught in Achhruram Memorial College, Purulia.