scholarly journals An integrated production policy with defective items and stock-out based substitution under triangular dense fuzzy lock set environment

Author(s):  
Adrijit Goswami ◽  
Snigdha Karmakar ◽  
Sujit Kumar De ◽  
Tapan Kumar Datta

Brand substitution is common observed phenomenon in daily life. It is the decision makers' economic understanding and potential scheme for business-industries. Also, it provides the flexibility in management and increases the ability to control the production. This paper proposes an integrated supplier-retailer inventory model for substitutable products. Two supplier with two different brand product with their corresponding demand are involved and one retailer sells each of the products. To nullify the complexities of the joint optimization problem, we first develop a deterministic model for three cases: no substitution, partial substitution and full substitution, then we go for its fuzzification. Keeping the financial constraint of each producer, we have studied over the elasticity of the cost parameters by means of triangular dense fuzzy lock set approach with its locking and unlocking property for final decision making. Finally, sensitivity analysis and graphical illustration are made to justify the model.

1976 ◽  
Vol 98 (1) ◽  
pp. 354-359 ◽  
Author(s):  
S. K. Hati ◽  
S. S. Rao

The mathematical programing techniques are applied to determine the optimum cutting parameters of machining operations. Three objectives, the cost of production per piece, the production rate, and the profit, are considered for optimization. The different constraints that arise during the machining operation are also considered. As some parameters involved in the process may not be purely deterministic, a probabilistic model is set up for the cost of production per piece and the production rate. After converting the probabilistic model into an equivalent deterministic model, the mathematical programing techniques are applied and the results obtained are compared with those of the deterministic model. A sensitivity analysis with respect to the cost parameters is carried in the case of cost of production per piece.


Energies ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2405
Author(s):  
Samar Fatima ◽  
Verner Püvi ◽  
Ammar Arshad ◽  
Mahdi Pourakbari-Kasmaei ◽  
Matti Lehtonen

Power distribution networks are transitioning from passive towards active networks considering the incorporation of distributed generation. Traditional energy networks require possible system upgrades due to the exponential growth of non-conventional energy resources. Thus, the cost concerns of the electric utilities regarding financial models of renewable energy sources (RES) call for the cost and benefit analysis of the networks prone to unprecedented RES integration. This paper provides an evaluation of photovoltaic (PV) hosting capacity (HC) subject to economical constraint by a probabilistic analysis based on Monte Carlo (MC) simulations to consider the stochastic nature of loads. The losses carry significance in terms of cost parameters, and this article focuses on HC investigation in terms of losses and their associated cost. The network losses followed a U-shaped trajectory with increasing PV penetration in the distribution network. In the investigated case networks, increased PV penetration reduced network costs up to around 40%, defined as a ratio to the feeding secondary transformer rating. Above 40%, the losses started to increase again and at 76–87% level, the network costs were the same as in the base cases of no PVs. This point was defined as the economical PV HC of the network. In the case of networks, this level of PV penetration did not yet lead to violations of network technical limits.


1998 ◽  
Vol 2 (1) ◽  
pp. 65-104 ◽  
Author(s):  
V. Adlakha ◽  
H. Arsham

In a fast changing global market, a manager is concerned with cost uncertainties of the cost matrix in transportation problems (TP) and assignment problems (AP).A time lag between the development and application of the model could cause cost parameters to assume different values when an optimal assignment is implemented. The manager might wish to determine the responsiveness of the current optimal solution to such uncertainties. A desirable tool is to construct a perturbation set (PS) of cost coeffcients which ensures the stability of an optimal solution under such uncertainties.The widely-used methods of solving the TP and AP are the stepping-stone (SS) method and the Hungarian method, respectively. Both methods fail to provide direct information to construct the needed PS. An added difficulty is that these problems might be highly pivotal degenerate. Therefore, the sensitivity results obtained via the available linear programming (LP) software might be misleading.We propose a unified pivotal solution algorithm for both TP and AP. The algorithm is free of pivotal degeneracy, which may cause cycling, and does not require any extra variables such as slack, surplus, or artificial variables used in dual and primal simplex. The algorithm permits higher-order assignment problems and side-constraints. Computational results comparing the proposed algorithm to the closely-related pivotal solution algorithm, the simplex, via the widely-used pack-age Lindo, are provided. The proposed algorithm has the advantage of being computationally practical, being easy to understand, and providing useful information for managers. The results empower the manager to assess and monitor various types of cost uncertainties encountered in real-life situations. Some illustrative numerical examples are also presented.


2019 ◽  
Vol 10 (5) ◽  
pp. 1679 ◽  
Author(s):  
Abhishek Kanti Biswas ◽  
Sahidul Islam

The inventory system has been drawing more intrigue because this system deals with the decision that minimizes the total average cost or maximizes the total average profit. For any farm, the demand for any items depends upon population, selling price and frequency of advertisement etc. Most of the model, it is assumed that deterioration of any item in inventory starts from the beginning of their production. But in reality, many goods are maintaining their good quality or original condition for some time. So, price discount is availed for defective items. Our target is to calculate the total optimal cost and the optimal inventory level for this inventory model in a crisp and fuzzy environment. Here Holding cost taken as constant and no-shortages are allowed. The cost parameters are considered as Triangular Fuzzy Numbers and to defuzzify the model Signed Distance Method is applied. A numerical example of the optimal solution is given to clarify the model. The changes of different parameters effect on the optimal total cost are presented and sensitivity analysis is given.JEL Classification: C44, Y80, C61Mathematics Subject Classification: 90B05


Author(s):  
Aditi Khanna ◽  
Aakanksha Kishore ◽  
Chandra K. Jaggi

In real life, due to certain machine problems, process deterioration and many other factors, production processes deliver imperfect quality items. So, the effect of these defectives cannot be ignored in terms of ensuring good customer service. In order to sustain today’s cut-throat competition, rework process of defective items becomes a rescue to compensate for the imperfections present in the production system. The present model attempts to explore the traditional imperfect environment with a more practical approach by incorporating the concept of inspection errors, along with an imperfect rework process. By considering human errors as unavoidable, Type-I and Type-II errors are also incorporated in the study. To prioritize on the customer satisfaction level, Sales returns are given full price refunds. An analytical method is employed to maximize the expected total profit per unit time to study the combined effect of aforementioned factors on the optimal production quantity. A numerical example along with a comprehensive sensitivity analysis has been presented to demonstrate the applicability of the model and also to observe the effects of key parameters on the optimal production policy respectively. The pertinence of the model can be found in most manufacturing industries like textile, electronics, furniture, footwear, crockery etc.


Author(s):  
Shun Takai

Acquiring information about uncertainty and updating belief before making the final decision are important steps in decision analysis. In this paper, a national laboratory (lab hereafter) uses decision analysis to choose the optimal project proposal for a public project submitted to the government. A project proposal consists of a system concept (system technology and specifications) and a budget. When choosing a project proposal, the lab may not know what might happen when the cost of the project exceeds the budget. If the cost only exceeds the budget for a small amount, the government may allow the project to continue. On the other hand, if the cost substantially exceeds the budget, the project may be cancelled. To assess this uncertainty, experts’ opinions are useful source of information. However, experts’ opinions may not always be available. This paper proposes a mathematical model to simulate the government’s actions and to update the lab’s belief about this uncertainty when experts’ opinions cannot be obtained. Information obtained from analyzing a mathematical model should help the lab update its belief and make better decisions.


2011 ◽  
Vol 28 (06) ◽  
pp. 689-704 ◽  
Author(s):  
HORNG-JINH CHANG ◽  
WEN-FENG LIN

In this article, we generalize Lev and Weiss's (1990) finite horizon economic order quantity (EOQ) model with cost change to the inventory system with deterioration. Supplier announces some or all of cost parameters may change after a decided time. Depending on whether the inventory is depleted at the time of the last opportunity to purchase before some or all of the cost parameters may change, there are two types of inventory models to be discussed. The main objective of this paper is to identify the optimal ordering policy of the inventory system by comparing the minimum cost of the two types of models. We suggest a finite horizon EOQ model to combine the above two types and propose a theorem that can quickly identify the optimal policy of the suggested model. In considering temporary price discount problem and discrete-time EOQ problem, in general, there are integer operators in mathematical models, but our approach offers a closed-form solution to these kinds of problems. Numerical examples are presented to demonstrate the results of the proposed properties and theorem.


2002 ◽  
Vol 31 (3) ◽  
pp. 151-160 ◽  
Author(s):  
Alison Burrell

The outbreak of a highly infectious animal disease in a disease-free area is an ever-present risk. Recent epidemics in European livestock populations illustrate that the cost in terms of eradication, lost production and trade disruption may be high. In this paper, the implications for the meat and livestock industry, government policy and international trade rules are considered. The need for strict biosecurity and effective contingency plans is stressed. Options such as private insurance, animal tracing systems and emergency vaccination are discussed. Current measures for controlling animal disease epidemics raise various social and ethical issues that complicate the policy makers' task.


Author(s):  
Rolando Romero de Armas ◽  
Euster Alcívar Acosta ◽  
Jorge Alpízar Muni

 Cassava bran like partial substitute of the corn in the feeding of pig’s feeder RESUMEN Se determinó la degradabilidad in vitro mediante la técnica de producción de gas del afrecho de yuca obtenido en el cantón Chone, provincia de Manabí y se valoró su posibilidad de sustituir el 10, 20 o 30% del maíz en la alimentación de cerdos en crecimiento y ceba; para lo cual se emplearon 16 cerdos, 8 hembras y 8 machos castrados distribuidos en un diseño completamente aleatorizado así como su ventaja económica. Se encontró una alta degradabilidad del producto evaluado tanto para las fases de crecimiento y de ceba; mientras que el consumo de alimentos, el peso vivo y la conversión alimenticia no difirieron significativamente entre los tratamientos con afrecho de yuca y el control de maíz; el costo de los alimentos disminuyo a medida que aumentó el nivel de sustitución del maíz. Se concluye que el afrecho de yuca es una nueva alternativa sostenible y ventajosa económicamente para productores de cerdos. Se recomienda la inclusión del 30 % del afrecho de yuca en sustitución parcial del maíz Palabras clave: Alimentos alternativos, composición nutritiva, digestibilidad, materia seca, producción de gas ABSTRACT  Was to determine the degradability in vitro of the cassava bran  obtained in the Canton Chone, its possibility to substitute 10, 20 o 30% the corn  in the feeding of the pigs in growth and finalization, for which we used 16 pigs, 8 females and 8 castrated males distributed in a completely randomized design as well as its economic advantage. The obtained results show a high degradability of the evaluated product and that in the phases of growth as much as finalization and the feeds consumption, body weight and the nutritious conversion didn't differ significantly among the treatments with cassava bran and the control of corn; as for the cost of the feeds for treatments this diminishes as the level of substitution of the corn increased. The cassava bran is economically a new sustainable and advantageous alternative for producing of pigs. The inclusion of 30% of cassava bran in partial substitution of maize is recommended Keywords: Alternative feeds, digestibility, dry matter, gas production nutritious composition


2020 ◽  
Vol 9 (2) ◽  
pp. 158
Author(s):  
Vivi Sahfitri

A Lecturer as an educator in Higher Education System has an obligation to fulfill the Tri Dharma University which consists of Education, Research and Community Service. A research, which is a part of the lecturer responsibility, shall be conducted in various activities with the cost coming from a wide range of sources. Bina Darma University through the Research and Community Service Institute has an agenda to administer Internal Research Grants which aim to facilitate and motivate Lecturers in the research activities. The assessment of Research proposal is carried out by a reviewer appointed directly by the institution. The reviewer has a full right to determine whether the proposal would be funded or not. The reviewer's full right may affect the objectivity of assessment by the Reviewer which eventually would influence the final decision. Thus, this research aims to design a system for determining the acceptance of Internal Research proposals, that is by using the implementation of Profile Matching Method. The final result of the study shows that the final value of the research proposal which will get the first rank is the value of the ID PROP007 with the final value 4.55. Meanwhile, the lowest end value is 3.1 obtained by ID PROP004. The assessments criteria contained in the research proposal include abstract, introduction, literature review, research methodology, budget conformance and research schedule.


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