This includes putting to use the SC 4.0 technologies such as industrial internet of things (IIoT), Cyber-Physical Systems (CPS) and digital twins (DT), augmented reality (AR), and virtual reality (VR) for simulation and modeling of production systems and SCs. A number of reviews have been published in this framework dealing with various aspects of modeling and sustainability, an exhaustive list of which has been presented in Section 3. Cataloging the simulation methods in sustainability a number of reviews may be indicated, including an article in which the application of three major simulation techniques, namely, Discrete Event Simulation (DES), Agent-Based Simulation (ABS), and System Dynamics (SD) are discussed [8]. Studying various aspects of energy modeling, the studies include a review of software-based simulation tools [9], industrial sector-wise models of energy analysis, energy evaluation and energy-saving following the ISO50001 standard [10], and use of virtual and augmented reality and digital twins for energy modeling [11]. A number of reviews also address the aspect of modeling the product lifecycle [12; 13; 14; 15]. The specific contexts where review work has been done includes discrete production environment [16], cyber-physical systems (CPS) [17], knowledge management [18], global and local optimization methods [19], value stream mapping (VSM) [20], and Virtual Reality (VR) [18]. The need for the simulation methodology in manufacturing and their allied SCs, in the present context, is to rise up to the challenge of the long-term global need of manufacturing SCs. The amorphous nature of published research calls for bringing together the diverse themes while taking into consideration a need for a novel framework for M&S. A framework that takes into account the traditional techniques of modeling while incorporating novel technologies such as 3D-printing, Augmented reality, Virtual reality, etc., within the framework of the Circular Economy (CE) paradigm. Following the PRISMA framework, this article brings together various techniques of M&S and their hybrids finding use in the area of sustainability of manufacturing and SCs. The paper starts with a bibliometric analysis of the collected research works following which a detailed description of the three simulation techniques and their applications is given. A section detailing the various possibilities and resultant characteristics of hybridizing these three techniques is explored. In Section 5, limitations of the current state of the M&S paradigm with regards to modeling CE are discussed and a future course of action is delineated. The paper also includes two appendices. In Appendix A, the exemplary applications of the M&S techniques in the industry in the context of CE are tabulated. In Appendix B, the most commonly used open-source M&S software and their applications in sustainability assessment are tabulated. In essence, this article  
* Indicates the state of published research in the field of modeling of sustainable manufacturing and their allied SCs;
* Assesses the characteristics and circumstances of application of Discrete Event Simulation (DES), Agent-Based Simulation (ABS), System Dynamics (SD), and their hybrids in sustainable manufacturing;
* Underlines the bearings of simulation and modeling on the impending supply chain 5.0 (SC 5.0) paradigm.