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Digitization technology has developed in the preservation of cultural heritage, especially ancient manuscripts. In this context, image retrieval methods allow for efficient access to the information contained in ancient manuscripts. Optimization techniques play a role in building an effective image retrieval method. This paper presents a systematic literature review that focuses on the role of optimization in digital image retrieval methods for preserving ancient manuscripts as part of cultural heritage preservation. This paper is organized based on the following research questions: (1) What are the research objectives regarding optimization in digital image retrieval of ancient manuscripts?; (2) What is the role of optimization in image retrieval methods for the preservation of ancient manuscripts?; and (3) How have existing studies determined the formulation of novel and new research? This study involved searching articles through Scopus, Dimensions, Science Direct, and Google Scholar databases and using bibliometric analysis to visualize research themes and trends. The results of the literature review show that research related to the role of optimization in the digital image retrieval method of ancient manuscripts is still open and this paper can be used as a reference for further research on this topic.

Economic growth modeling is one of the methods a government can use to formulate appropriate economic policies to improve the prosperity of its people. Differential equations and stochastic models play a major role in studying economic growth. This article aims to conduct a literature review on the use of differential equations in relation to stochastics to model economic growth. In addition, this article also discusses the use of differential and stochastic equations in economic growth models in Indonesia. This study involves searching for and selecting articles to obtain a collection of research works relevant to the application of differential and stochastic equations to economic growth models, supported by bibliometric analysis. The results of this literature review show that there is still little research discussing economic growth models using differential equations combined with stochastic models, especially those applied in Indonesia. While the application of these models remains relatively limited, their potential to offer deeper insights into the complex dynamics of economic growth is undeniable. By further developing and refining these models, we can gain a more comprehensive understanding of the factors driving growth and the potential implications of various economic policies. This will ultimately equip policy-makers with a more powerful analytical tool for making informed decisions.

Duality theory is important in finding solutions to optimization problems. For example, in linear programming problems, the primal and dual problem pairs are closely related, i.e., if the optimal solution of one problem is known, then the optimal solution for the other problem can be obtained easily. In order for an optimization problem to be solved through the dual, the first step is to formulate its dual problem and analyze its characteristics. In this paper, we construct the dual model of an uncertain linear multi-objective optimization problem as well as its weak and strong duality criteria via conic duality. The multi-objective form of the problem is solved using the utility function method. In addition, the uncertainty is handled using robust optimization with ellipsoidal and polyhedral uncertainty sets. The robust counterpart formulation for the two uncertainty sets belongs to the conic optimization problem class; therefore, the dual problem can be built through conic duality. The results of the analysis show that the dual model obtained meets the weak duality, while the criteria for strong duality are identified based on the strict feasibility, boundedness, and solvability of the primal and dual problems.