Applying the Lexicographic Maximum Solution of Min-Product Fuzzy Relational Inequalities for Finding the Optimal Pricing with a Fixed Priority in a Supply Chain System

Fuzzy relational inequalities composed by the min-product operation are established to model the optimal pricing with fixed priority in a single product supply chain system. The solution algorithm has been proposed for solving such an optimization problem and finding the optimal solution (is called lexicographic maximum solution). In this study, a novel approach is proposed to finding the optimal pricing with fixed priority in a single product supply chain system. This approach is based on new properties of solution set in a min-product fuzzy relational inequality. These new properties allow us directly determine the optimal value of variable without many duplicate checks in the solution procedure. A numerical example is provided to illustrate the procedure.

Inventory Model with Fixed Shelf Life under Generalized Non-Increasing Demand

In this paper, we develop an economic order quantity (EOQ) model for fixed shelf-life items and a non-increasing demand. The objective of this model is to maximize the total profit. We find the criterion to decide (i) the interior maximum solution or (ii) the boundary maximum solution. Eight numerical examples are given to illustrate all possible scenarios of this generalized model. Our results identify a scenario for which the maximum profit is always negative. This is highly relevant for firms in the public sector operating at a financial loss.

Design Improvement for Complex Systems with Uncertainty

The uncertainty of the engineering system increases with its complexity, therefore, the tolerance to the uncertainty becomes important. Even under large variations of design parameters, the system performance should achieve the design goal in the design phase. Therefore, engineers are interested in how to turn a bad design into a good one with the least effort in the presence of uncertainty. To improve a bad design, we classify design parameters into key parameters and non-key parameters based on engineering knowledge, and then seek the maximum solution hyper-box which already includes non-key parameters of this bad design. The solution hyper-box on which all design points are good, that is, they achieve the design goal, provides target intervals for each parameter. The bad design can be turned into a good one by only moving its key parameters into their target intervals. In this paper, the PSO-Divide-Best method is proposed to seek the maximum solution hyper-box which is in compliance with the constraints. This proposed approach has a considerably high possibility to find the globally maximum solution hyper-box that satisfies the constraints and can be used in complex systems with black-box performance functions. Finally, case studies show that the proposed approach outperforms the EPCP and IA-CES methods in the literature.

Peningkatan Nutrisi Pupuk Organik Cair Dari Limbah Pemurnian Minyak Nilam Menggunakan EM4

The production of patchouli oil refining the largest waste in Indonesia. But still has high nutrient content and can be used as liquid organic fertilizer. To increase the efficiency of the formation of liquid fertilizer from patchouli waste requires the role of EM4 bioactivator and chicken manure. The study aims to determine the production of liquid organic fertilizer froom potchouli waste with EM4 bioactivator and the addition of chicken manure as well as to analyze the effect of fermentation time and EM4 solution to obtain maximum N, P, K content. The results showed that there were some effect of fermentation time and variable of EM4 on NPK content. The maximum solution of N in the variable 8% EM4 solution with fermrntation time of 3 days was 0.34%. The maximum P in the variable of 4% EM4 solution with a fermentation time of 9 days was 0.10%. The maximum K in the variable of 2 and 4% EM4 solution with a fermentation time of 5 days were 0.27%.

A Globally Optimal Robust Design Method for Complex Systems

The uncertainty of the engineering system increases with the growing complexity of the engineering system; therefore, the tolerance to the uncertainty is essential. In the design phase, the output performance should reach the design criterion, even under large variations of design parameters. The tolerance to design parameter variations may be measured by the size of a solution space in which the output performance is guaranteed to deliver the required performance. In order to decouple dimensions, a maximum solution hyperbox, expressed by intervals with respect to each design parameter, is sought. The proposed approach combines the metaheuristic algorithm with the DIRECT algorithm where the former is used to seek the maximum size of hyperbox, and the latter is used as a checking technique that guarantees the obtained hyperbox is indeed a solution hyperbox. There are three advantages of the proposed approach. First, it is a global search and has a considerable high possibility to produce the globally maximum solution hyperbox. Second, it can be used for both analytically known and black-box performance functions. Third, it guarantees that any point selected within the obtained hyperbox satisfies the performance criterion as long as the performance function is continuous. Furthermore, the proposed approach is illustrated by numerical examples and real examples of complex systems. Results show that the proposed approach outperforms the GHZ and CES-IA methods in the literature.

Improved Multi Service-Reverse Charging Models for the Multi Link Internet wireless Using QOS Bit Error Rate QoS Attribute

n this article, a multi-link internet reverse charging scheme model on a multi-service network isproposed. The previous research seldom discussed the reverse charging scheme on multi linkand multi service network. This pricing scheme is designed with the aim of maximizing serviceprovider profits. Basic costs and the level of service satisfaction provided by the ISP is focusedon this attempt. This optimization problem can be solved using LINGO 13.0 software. Thisproblem was made and was divided into several cases. Thus, the results obtained can be aconsideration for ISPs in determining the price of services that can support an ISP. The improvedmodels that produce the maximum solution is case 3 (α and β as variables) and case 4 (α asvariables and β as parameters).