A New Method to Solve Bi-Objective Transportation Problem

Quddoos, Abdul; Javaid, Shakeel; Khalid, M. M.

doi:10.12732/ijam.v26i5.4

Cited by 13 publications

(21 citation statements)

References 2 publications

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“…The analyst solves the resulting problem by methods such as goal programming and lexicographic goal programming (Quddoos, Javaid, Ali, & Khalid, 2013), and present the solution to the DM.…”

Section: Priori Methodsmentioning

confidence: 99%

“…Researchers proposed methods and algorithms to find the best compromise solution such as Hu, Teng, and Li (2007), Yadav (2011), Quddoos, Javaid, Ali, andKhalid (2013), El-Wahed and Lee (2006) and Li and Lai (2000). Here the question arises for DMs: what should be the criteria of the best compromise solution?…”

Section: Proposed Criteria For Best Compromise Solutionmentioning

confidence: 99%

“…A comparison has been made with the approaches of Li and Lai (2000), Bit, Biswal, and Alam (1992), Ringuest and Rinks (1987), Quddoos, Javaid, Ali, and Khalid (2013), and Quddoos, Javaid, and Khalid (2013) in Table 4. (Bit, Biswal, & Alam, 1992); c (Ringuest & Rinks, 1987); d (Quddoos, Javaid, Ali, & Khalid, 2013); e (Quddoos, Javaid, & Khalid, 2013) Figure 6. Graphical representation of solutions at different priorities Now consider the second example of a multi-objective assignment problem using the proposed model.…”

Section: Graphical Representation Of Consistencymentioning

confidence: 99%

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A Distance Based Method for Solving Multi-Objective Optimization Problems

Kamal

Jalil

Muneeb

et al. 2018

J. Mod. Appl. Stat. Methods

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A new model for the weighted method of goal programming is proposed based on minimizing the distances between ideal objectives to feasible objective space. It provides the best compromised solution for Multi Objective Linear Programming Problems (MOLPP). The proposed model tackles MOLPP by solving a series of single objective subproblems, where the objectives are transformed into constraints. The compromise solution so obtained may be improved by defining priorities in terms of the weight. A criterion is also proposed for deciding the best compromise solution. Applications of the algorithm are discussed for transportation and assignment problems involving multiple and conflicting objectives. Numerical illustrations are given for the proposed model.

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“…The analyst solves the resulting problem by methods such as goal programming and lexicographic goal programming (Quddoos, Javaid, Ali, & Khalid, 2013), and present the solution to the DM.…”

Section: Priori Methodsmentioning

confidence: 99%

Section: Proposed Criteria For Best Compromise Solutionmentioning

confidence: 99%

Section: Graphical Representation Of Consistencymentioning

confidence: 99%

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A Distance Based Method for Solving Multi-Objective Optimization Problems

Kamal

Jalil

Muneeb

et al. 2018

J. Mod. Appl. Stat. Methods

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“…Unfortunately, Verduzco-Garza [12] did not consider the use of simultaneously deterministic, stochastic and fuzzy parameters that determine the objective function. Quddoos [13] proposed a method of finding a compromise variant of the route by determining the weight of different possible variants. In [14], multi-objective linear programming is used to minimize the distances between ideal objectives to a possible target space by transforming intermediate targets into constraints.…”

Section: Introductionmentioning

confidence: 99%

Entropy as an Objective Function of Optimization Multimodal Transportations

Bazaluk

Kotenko

Ніценко

2021

Entropy

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This article considers the use of the entropy method in the optimization and forecasting of multimodal transport under conditions of risks that can be determined simultaneously by deterministic, stochastic and fuzzy quantities. This will allow to change the route of transportation in real time in an optimal way with an unacceptable increase in the risk at one of its next stages and predict the redistribution of the load of transport nodes. The aim of this study is to develop a mathematical model for the optimal choice of an alternative route, the best for one or more objective functions in real time. In addition, it is proposed to use this mathematical model to estimate the dynamic change in turnover through intermediate transport nodes, forecasting their loading over time under different conditions that also include long-term risks which are significant in magnitude. To substantiate the feasibility of the proposed mathematical model, the analysis and forecast of cargo turnover through the seaports of Ukraine are presented, taking into account and analysing the existing risks.

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“…Since there is no connection between the cost parameter of various objectives of the Transportation Problem: these are considered as conflicting and commensurable model of the multi objective transportation problem [MOTP]. Well known researchers like Lee et al 1973 [3], Pandian et al 2011 [4], Quddoos et al 2013 [5] and Nomani et al 2017 [6] etc., therefore worked on more efficient process to solve MOTP.…”

Section: Introductionmentioning

confidence: 99%

Uncertain multi objective multi item four dimensional transportation problem with vehicle speed

Revathi¹,

Mohanaselvi²,

Jana³

2021

Proceedings of the First International Conference on Computing, Communication and Control System, I3CAC 2021, 7-8 June 2021, Bh

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The In this work, multi objectives multi item four dimensional transportation problem with vehicle speed consisting of uncertain variable parameters is studied. Due to bad road conditions, the rate of variation of speed of the vehicle may vary in different routes and the speed of different vehicles are also considered first time in the time minimization transportation model. Equivalent deterministic models for the uncertain programming model are proposed by using chance constrained and expected value method. Finally goal programming technique is applied to derive a suitable compromise solution of the uncertain multi objective multi item four dimensional transportations problems with consideration of vehicle speed. An illustrative real life situation is discussed and optimal results are displayed to demonstrate the proposed methodology..

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A New Method to Solve Bi-Objective Transportation Problem

Cited by 13 publications

References 2 publications

A Distance Based Method for Solving Multi-Objective Optimization Problems

A Distance Based Method for Solving Multi-Objective Optimization Problems

Entropy as an Objective Function of Optimization Multimodal Transportations

Uncertain multi objective multi item four dimensional transportation problem with vehicle speed

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