A Simplex-Type Algorithm for General Transportation Problems: An Alternative to Stepping-Stone

Arsham, Hossein; Kahn, Arthur B.

doi:10.1057/jors.1989.95

Cited by 66 publications

(10 citation statements)

References 10 publications

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“…Appa (1973) discussed several variations of the TP. Arsham et al (1989) proposed a simplex type algorithm for general TPs. An Introduction to Operations Research Taha (2008) deals the TP.…”

Section: P Senthil Kumar Jamal Mohamed College (Autonomous) Indiamentioning

confidence: 99%

Search for an Optimal Solution to Vague Traffic Problems Using the PSK Method

Kumar¹

2018

Handbook of Research on Investigations in Artificial Life Research and Development

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“…Appa (1973) discussed several variations of the TP. Arsham et al (1989) proposed a simplex type algorithm for general TPs. An Introduction to Operations Research Taha (2008) deals the TP.…”

Section: P Senthil Kumar Jamal Mohamed College (Autonomous) Indiamentioning

confidence: 99%

Search for an Optimal Solution to Vague Traffic Problems Using the PSK Method

Kumar¹

2018

Handbook of Research on Investigations in Artificial Life Research and Development

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“…Appa (1973) discussed several variations of the transportation problem. Arsham et al (1989) proposed a simplex type algorithm for general transportation problems. An Introduction to Operations Research Taha (2008) deals the transportation problem.…”

Section: P Senthil Kumar Jamal Mohamed College (Autonomous) Indiamentioning

confidence: 99%

PSK Method for Solving Type-1 and Type-3 Fuzzy Transportation Problems

Kumar¹

2016

International Journal of Fuzzy System Applications

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In conventional transportation problem (TP), supplies, demands and costs are always certain. In this paper, the author tried to categories the TP under the mixture of certain and uncertain environment and formulates the problem and utilizes the crisp numbers, triangular fuzzy numbers (TFNs) and trapezoidal fuzzy numbers (TrFNs) to solve the TP. The existing ranking procedure of Liou and Wang is used to transform the type-1 and type-3 fuzzy transportation problem (FTP) into a crisp one so that the conventional method may be applied to solve the TP. The solution procedure differs from TP to type-1 and type-3 FTP in allocation step only. Therefore, the new method called PSK method and new multiplication operation on TrFN is proposed to find the mixed optimal solution in terms of crisp numbers, TFNs and TrFNs. The main advantage of this method is computationally very simple, easy to understand and also the optimum objective value obtained by our method is physically meaningful. The effectiveness of the proposed method is illustrated by means of a numerical example.

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“…Basirzadeh [17] has found a fuzzy optimal solution of fully FTPs by transforming the fuzzy parameters into the crisp parameters using classical algorithms. Gani et al [2] used Arsham and Khan's simplex algorithm [16] to find a fuzzy optimal solution of FTPs with trapezoidal fuzzy parameters. Patil and Chandgude, in 2012, performed ªFuzzy Hungarian approachº for TP with trapezoidal FNs [7].…”

Section: Introductionmentioning

confidence: 99%

Two-Stage Intuitionistic Fuzzy Transportation Problem through the Prism of Index Matrices

Traneva¹,

Tranev²

2021

Position and Communication Papers of the 16th Conference on Computer Science and Intelligence Systems

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ÐIn today's market environment not all the parameters of the transportation problems may not be known precisely. Uncertain data can be represented by fuzzy sets (FSs). Intuitionistic FSs (IFSs) are an extension of FSs with a degree of hesitancy. The paper presents a new approach for solution of a two-stage intuitionistic fuzzy transportation problem (2-S IFTP) through the prism of index matrices (IMs). Its main objective is to find the quantities of delivery from manufacturers and resselers to buyers to maintain the supply and demand requirements at the cheapest transportation costs. The solution procedure is demonstrated by a numerical example.

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A Simplex-Type Algorithm for General Transportation Problems: An Alternative to Stepping-Stone

Cited by 66 publications

References 10 publications

Search for an Optimal Solution to Vague Traffic Problems Using the PSK Method

Search for an Optimal Solution to Vague Traffic Problems Using the PSK Method

PSK Method for Solving Type-1 and Type-3 Fuzzy Transportation Problems

Two-Stage Intuitionistic Fuzzy Transportation Problem through the Prism of Index Matrices

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