The paper deals with an M/M/2 Queueing Model with working vacations and reneging of customers due to impatience. The matrix geometric method is used to find the distribution of the number of customers in the system. A cost function is constructed to obtain the optimal value of the service rate to optimize (minimize) the cost function using the Quadratic Fit Search Method (QFSM). Further, the effects on the system's performance measures using numerical analysis and graphical representation are studied.
This paper explicitly talks about the relationship between self-efficiency and cross efficiencies. The self-efficiency and cross efficiencies are used in different research works and various secondary goals are also developed using these measurements, but there is no explicit statement or derivation found in any prior art regarding the relationship between self and best cross efficiency for a DMU. Thus, in the present work, the relationship between self and cross efficiencies is examined explicitly and established via some theorems. These relationships can be useful in DEA's further formulations like goal programming models. The paper also complements the author's previous book chapter wherein they have used these relationships. A Numerical illustration is given in the end to establish the results.
This case presents the hybrid business model of a social venture Gramshree. It provides arich description of an actual decision situation faced by the board of trustees regarding the selection of marketing channel for Gramshree for bringing sustainability to the business. Gramshree aimed at empowering women artisans by ensuring a steady income for them so that they could become catalyst for sustainable economic development and social change. However, with growing competition and difficulties in selling, to generate market demand was a key challenge for Gramshree. This case illustrates the strategies for development and value creation of a hybrid social business model. It also describes the challenges faced by social organizations. The case provides an opportunity to evaluate the current situation and proposes a decision for sustainability of the organization.
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