An application of FISM and TOPSIS to a multi-objective multi-item solid transportation problem
- PDF / 1,398,494 Bytes
- 20 Pages / 439.37 x 666.142 pts Page_size
- 19 Downloads / 170 Views
An application of FISM and TOPSIS to a multi‑objective multi‑item solid transportation problem Anjana Kuiri1 · Barun Das1 Accepted: 7 May 2020 © Operational Research Society of India 2020
Abstract This paper deals a multi-objective multi-item solid transportation problem (MMSTP) with fuzzy inequality constraints in profit maximization and time minimization forms. Following fuzzy chance programming, more specificity possibilitynecessity theory, an approach to conversion of the imprecise MMSTP to the equivalent deterministic form is formulated. Fuzzy interactive satisfied method is adopted to derive optimal compromise solutions of the MMSTP through generalized reduced gradient technique. In order to obtain best non-dominating solution, the technique for order preference by similarity to ideal solution is applied. Finally, a numerical example and a statistical test namely, analysis of variance illustrate and signify the feasibility and validity of the proposed model and techniques. Keywords MMSTP · Fuzzy chance programming · FISM · TOPSIS · ANOVA
1 Introduction The solid transportation problem (STP) a realistic extension of regular two dimensional with the consideration of origin/sources and destination transportation problem. In STP a third criteria, route or conveyance is taken into account, addition with origin/source and destination. In most of the industry the homogeneous product is delivered from an origin/source to a destination by means of different modes of transport called conveyances, such as trucks, cargo flights, goods trains, ships, etc. These conveyances are taken as the third dimensions. In 1955, Schell [21] introduced the conception of STP, later on, in 1962 Haley [13] discussed the differences and utilizations of STP over TP. In special case, the traditional transportation problem (TP) can be formed from solid transportation * Anjana Kuiri [email protected] Barun Das [email protected] 1
Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, W.B 723104, India
13
Vol.:(0123456789)
OPSEARCH
problem by considering one type conveyance from each source to each destination. In recent years, a huge number of researchers are work in this field. In most of the papers, the authors try to minimize the total transportation cost of the system. Some of the authors, like He [14], Ojha et al. [20], Giri et al. [11] introduced the conceptions of the fixed charge, vehicle cost, infrastructural cost etc. But, in reality decision makers often try to maximize their profit, however the transportation cost may be. In today’s competitive life, the management can’t argue for a single objective decision making problem. The management tries to successfully run multidimensional approach in these regards, a transportation system with multi-item transportation is very quiet visible. Not only that, the vision of the management system also stretched to more than one objective, may the maximization of total transportation cost and minimized of total transportation times etc. As mentioned in the exis
Data Loading...
