A non-linear goal programming model and solution method for the multi-objective trip distribution problem in transportation engineering

2007 ◽  
Vol 8 (3) ◽  
pp. 277-298 ◽  
Author(s):  
Stephen C. H. Leung
Keyword(s):  
Goal Programming ◽  
Solution Method ◽  
Programming Model ◽  
Transportation Engineering ◽  
Distribution Problem ◽  
Trip Distribution ◽  
Multi Objective ◽  
Linear Goal Programming ◽  
Goal Programming Model ◽  
Non Linear

Multi Objective Optimization of Noise and Vibration in Passenger Car Cabin by Using Goal Programming Approach

2011 ◽  
Vol 383-390 ◽  
pp. 976-983 ◽  
Author(s):  
Ahmad Kadri Junoh ◽  
Zulkifli Mohd Nopiah ◽  
Wan Zuki Azman Wan Muhamad ◽  
Mohd Jailani Mohd Nor
Keyword(s):  
Goal Programming ◽  
Programming Model ◽  
Programming Approach ◽  
Vibration Level ◽  
Passenger Car ◽  
Noise And Vibration ◽  
Multi Objective ◽  
Comfort Index ◽  
Noise Annoyance ◽  
Goal Programming Model

Car cabin acoustical comfort is one of the main points which may attract the customers to purchase a new vehicle. Basically the noise in passenger car cabin is closely related to generated vibration in the vehicle system. The amount of discomfort depends to magnitude, frequency, direction and also the duration of exposed vibration in the cabin. The comfort of the driving influences driving performance. Generally the vibration is caused by two main sources: engine transmission and interaction between tyre and road surface. In this study the effects of vibration to noise in passenger car cabin were studied. Vehicle acoustical comfort index (VACI) was used to evaluate the noise annoyance level and vibration dose value (VDV) was used to evaluate the vibration level. According to the changes trend of noise and vibration level depending to engine speeds, goal programming model was used to optimise the noise annoyance level in passenger car cabin. At the end of study, a multi objective model successfully built to optimize the noise annoyance levels by looking the required vibration dose value at certain engine speeds. The results of the study might be useful for automotive researchers to provide technical method to optimize acoustical comfort in manufacturing of vehicles.

A Linear Goal Programming Model for Weight Calculation in Fuzzy AHP and its Application in Product Development

2010 ◽  
Vol 118-120 ◽  
pp. 712-716 ◽  
Author(s):  
Li Jun Yan ◽  
Zong Bin Li ◽  
Xiao Chun Yang
Keyword(s):  
Product Development ◽  
Goal Programming ◽  
Programming Model ◽  
Pairwise Comparison ◽  
Analysis Method ◽  
Pairwise Comparison Matrix ◽  
Wrong Decision ◽  
Comparison Matrix ◽  
Linear Goal Programming ◽  
Goal Programming Model

The key issue of FAHP application is how to derive fuzzy weights from fuzzy pairwise comparison matrix. The most of applications, however, were founding avoiding the use of sophisticated approaches such as fuzzy least squares method and using a simple extent analysis method to derive fuzzy weight from pairwise comparison matrix for the sake of simplicity. But the extent analysis method proves to be incorrect and may lead to a wrong decision result. So, this paper proposes a sound yet simple linear goal programming model to derive weights from pairwise fuzzy comparison matrix, which takes minimizing inconsistence degree of comparison matrix as objective and obtain a normalized weight vector finally. The proposed model is validated by an application to new product development scheme screening decision making.

scholarly journals TOPSIS Approach for Solving Bi-Level Non-Linear Fractional MODM Problems

2018 ◽  
Vol 13 (4) ◽  
pp. 7353-7370 ◽  
Author(s):  
MAHMOUD A ABO-SINNA ◽  
AZZA H AMER
Keyword(s):  
Decision Making ◽  
Programming Model ◽  
Distance Functions ◽  
Decision Variable ◽  
Ideal Solution ◽  
Multi Objective ◽  
Goal Programming Model ◽  
Non Linear ◽  
Topsis Approach ◽  
Topsis Technique

TOPSIS (technique for order preference similarity to ideal solution) is considered one of the known classical multiple criteria decision making (MCDM) methods to solve bi-level non-linear fractional multi-objective decision making (BL-NFMODM) problems, and in which the objective function at each level is considered nonlinear and maximization type fractional functions. The proposed approach presents the basic terminology of TOPSIS approach and the construction of membership function for the upper level decision variable vectors, the membership functions of the distance functions from the positive ideal solution (PIS) and of the distance functions from the negative ideal solution (NIS). Thereafter a fuzzy goal programming model is adopted to obtain compromise optimal solution of BL-NFMODM problems. The proposed approach avoids the decision deadlock situations in decision making process and possibility of rejecting the solution again and again by lower level decision makers. The presented TOPSIS technique for BL-NFMODM problems is a new fuzzy extension form of TOPSIS approach suggested by Baky and Abo-Sinna (2013) (Applied Mathematical Modelling, 37, 1004-1015, 2013) which dealt with bi -level multi-objective decision making (BL-MODM) problems. Also, an algorithm is presented of the new fuzzy TOPSIS approach for solving BL-NFMODM problems. Finally, an illustrative numerical example is given to demonstrate the approach.

scholarly journals Modified Goal Programming Model for Limited Available Budget Allocation for Equipment Procurement under Inflation Condition

2020 ◽  
pp. 25-35
Author(s):  
O. O. Ojo ◽  
P. K. Farayibi ◽  
B. O. Akinnuli
Keyword(s):  
Goal Programming ◽  
Large Scale ◽  
Programming Model ◽  
Spare Parts ◽  
Strategic Decisions ◽  
Decision Tool ◽  
Multi Objective ◽  
Programming Tool ◽  
Goal Programming Model ◽  
Industrial Needs

Equipment procurement budget is of a great challenge in manufacturing industries by reasons of its multi-objectives, insufficient funds, and inflation problems. Solutions were proffered to these problems by identifying the strategic decisions required in equipment procurement (machine, accessories, spare parts and miscellaneous costs). Procurement changes from year to year based on equipment industrial needs. Hence eleven (11) scenarios for procurement but this study focused on a scenario where all the decisions are needed for procurement. This problem is multi-objective decision problem where there is need for multi-objective decision tool for its solution, therefore a goal programming tool was adopted and improved by integrating inflation model into it to be able to solve inflation problems. International Brewery Ilesha, Nigeria was used as case study for the model’s application to evaluate its performance. The strategic decisions deviated above or positively by 0.4604, 4.1311 and 2.3760 for machines, spare-parts and miscellaneous costs respectively while accessories cost was not deviated. Therefore, the procurement cost for Machines, Accessories, Spare-parts and Miscellaneous costs would be (N 166,015,000; $ 461,152.77), (N 127,968,000; $ 355,466.67), (N 548,075,000; $ 1,522,430.56), (N 271,091,500; $ 753,031.94). US Dollar exchange rate was at N 360 to a Dollar as at the time of this research. This multi-criteria decision tool will find its application useful in small, medium and large scale industries that equipment procurement budget affects their production.v

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