Types of transportation problem in operational research. A multiobjective solid transportation problem with. Effective swm is a major challenge in cities with high population density. A multiobjective multiitem solid transportation problem with fuzzy coefficients for the. A hazard to environment chadar sn and keerti chadar 1department of chemistry, uitrgpv bhopal. For interval case, an auxiliary problem is obtained in order to find a solution. This book presents a novel approach to the formulation and solution of three classes of problems. Pdf solving solid transportation problems with multi choice cost. In this momistp, there are limitations on some items and conveyances so that some special items cannot be carried by means of some special conveyances. Multiobjective multiitem solid transportation problem in. For fuzzy case, a parametric approach which makes it possible to find a fuzzy solution to the former problem is used. A new approach for solving solid transportation problems p.
A transportation problem involving multiple objectives, multiple products, and three constraints, namely, source, destination, and conveyance, is called the multiobjective multiitem solid transportation problem momistp. Pdf transportation problem in operational research. In such cases, the classical tp is transformed into a threedimensional transportation problem, and it is called a solid transportation problem stp. Only a fraction of this solid waste is collected and disposed off at designated sites. Let ai be the quantity of the commodity available at the origin i. Zabihi3 1school of mathematics and information science, key laboratory of mathematics and interdisciplinary sciences of guangdong higher education institutes guangzhou university, guangzhou 56, china. Solid waste planning and disposal the asia foundation. In this paper, both current and forwardlooking views of waste and wasterelated problems confronted by the transportation industry are presented. A new method using the principle of zero point method 10 is proposed for finding an optimal solution of solid transportation problems. Waste management in transportation the present and the future scott springer, roy f. In this paper, we investigate a multiobjective interval solid transportation problem with fuzzy equalities under stochastic environment. In a transportation model, the available discount is normally offered on itemscriteria, etc. Seema sarkar mondal department of mathematics, national institute of technology, durgapur, india abstract. Firstly, expected values of the fuzzy objective functions are considered to derive crisp values.
An interactive possibilistic programming for fuzzy multi objective solid transportation problem s. A fuzzy programming approach for interval multiobjective. Pdf in this paper, a multiobjective solid transportation problem mstp for damageable item is formulated and solved. In this paper, a multiobjective multiitem solid transportation problem momistp with parameters, e. The transportation problem is a special type of lpp where the objective is to minimize the cost of distributing a product from a number of sources or origins to a number of destinations. Solving bicriteria solid transportation problem with fuzzy. Usually, these properties are source, destination and mode of transport conveyance, and. A solid transportation problem with partial nonlinear. A fuzzy setbased approach to multiobjective multiitem.
In the first of the papers two primary sections, both commonly used and advanced ways in which. The research needed might be obvious to them but difficult to describe to nonspecialists. On fuzzy multiobjective multiitem solid transportation. There are various modes of transport which may be adopted and the chosen method.
How to write an effective nchrp research problem statement. The remaining uncollected solid waste is left on the streets, roadsides and drainages. A solid transportation problem with type2 fuzzy variables. Inadequate solid waste transportation vehicles, trucks, equipment and tools. The density of solid waste arisings varies according to point of measurement at source, during transportation, at disposal but averages300 kgm3 in egypt. New methods in mathematical programmingthe solid transportation problem operations research. Solid waste in urban areas is generated by domestic sources, street sweeping, hospitals, commercial and industrial activities 4. An interactive possibilistic programming for fuzzy multi. Solid waste collection, transportation, backhaul and disposal activities that are allowable for gap funding under the consolidated appropriations act, 2018 pdf 4. A bicriteria solid transportation problem with fixed charge under. Writing an effective research problem statement is not a simple matter, even to transportation practitioners who face serious problems and challenges on a daily basis.
Transportation of liquid bulk chemicals by tankers in the. Solid waste management challenges in urban areas of ghana. Neural computing and applications 31 9, 49034927, 2019. Ojha a, mondal sk, maiti m 2014 a solid transportation problem with partial nonlinear transportation cost. It is a model that is applied to determine how many units of commodity to be shipped from each origin to various destinations, satisfying source availability and destination demand and minimizing the total cost of transportation. Details about balanced and unbalanced transportation problem you find in attached pdf notes at end of this article. Multi objective solid transportation problem with interval. Here, transportation costs, resources, demands and capacities of conveyances are.
This training module provides comprehensive and detailed learning materials on solid waste planning and disposal that can be used as reference material for practitioners in las and as background information for trainers. The purpose of tp is to transport the goods from sources to destinations. This auxiliary problem is a standard solid transportation problem which can be solved with the efficient methods existing. Challenges and opportunities associated with waste. Chapter 7 solid waste management european commission. Transportation of solid waste to the secondary locality. Problems of solid waste management in indian cities. This paper describes the solution of a multiindex transportation problem where there are three indices. Utilizing of fractional programming for multi objective. In this paper we consider a multiobjective multiitem solid transportation problem with fuzzy data in which more than one objective are involved and also several items are to be transported from sources to destinations. Multiobjective solid transportation problem under stochastic. This method has been applied to solve a solid transportation problem with availabilities and demands of a product, and conveyance capacities, which are represented by trapezoidal interval type2. Read a multiobjective solid transportation problem with discount and twolevel fuzzy programming technique, international journal of operational research on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.
Fuzzy linear programming technique was applied to multi objective solid transportation problem by bit et al. Despite this expenditure, many las do not satisfy their citizens expectations for waste management services. Solid transportation problem stp is an extension of the classical transportation problem tp. Pdf solid transportation problem piya ghosh academia. Generalized transportation problem has studied by several authors 3, 5, 14, 19.
An extra constraint on the total budget at each destination is imposed. A multi objective solid transportation problem in fuzzy. Liu and kao 8 proposed a new method for the solution of the fuzzy transportation. Profit maximization solid transportation problem with. Uncertain solid transportation problems sciencedirect. A case study of bawku municipality nang biyogue douti1, samuel kojo abanyie1, steve ampofo1, senyo komla nyarko2 1faculty of applied sciences, university for development studies, department of earth and environmental sciences, navrongo campus, navrongo, ghana. In this paper, we concentrate on developing a bifuzzy multi objective transportation problem mostp according to bifuzzy expected value method evm. Today, solid waste is accepted as a major problem of our society. Here, for the first time a solid transportation problem is considered with fuzzy parameters.
The stp is a three dimensional problem in which the parameters are supply, demand and conveyance mode of transport. It is very easy to understand and apply which can serve. Pdf multiobjective solid transportation problem in imprecise. Keywords chemicals, chemical transport, maritime transport, baltic sea, environmental impacts, safety, pollution, tankers, ports, harbours abstract while gathering information about oil transportation for vtt publication 547. Sensitivity analysis in solid transportation problems. The method of solution is an extension of the modimethod.
Section 2 and 3 projects the basics and proposed algorithm. Research article on fuzzy multiobjective multiitem solid. This paper aims at being a guide to understand the different types of transportation problems by presenting a survey of mathematical models and algorithms used to solve different types of transportation modes ship, plane, train, bus, truck, motorcycle, cars, and others by air, water, space, cables, tubes, and road. The proposed method yields an optimal solution of the given solid transportation problem directly. Environmental and health impact of solid waste disposal in developing cities. The solid transportation problem arises when bounds are given on three item properties. In this paper, we have used interactive fuzzy goal programming ifgp technique to solve the general multiple objectives generalized solid transportation problem. Multiobjective multiitem solid transportation problem in fuzzy. In this method, a defuzzification model, which is an application of fuzzy linear programming and conditions for a solid transportation problem are imposed. Solid waste is an urban problem where people have the. Pdf in this chapter, the authors propose a new approach to analyze the solid transportation problem stp. To minimize the problem, the order relations which represent the decision makers performance between fuzzy costs, supply, demand and conveyances are. As a continuation of the classical tp, the stp is introduced by haley 1 in 1962. As a generalization of traditional transportation problem tp, the solid transportation problem stp was introduced by haley 1 in.
Fuzzy optimal solution to fuzzy transportation problem. Assessment of solid waste management practices in bahir. In the model, transportation costs, supplies, demands and conveyances parameters are taken to be uncertain parameters. For fuzzy case, a parametric approach which makes it possible to. A new approach for solving solid transportation problems. In section 4 numerical example is chosen to illustrate the proposed algorithm.
In this paper we consider a multiobjective multiitem solid transportation problem with fuzzy data in which more than one objective are involved and also several. Because of its special structure the usual simplex method is not suitable for solving transportation problems. Solving multiobjective fuzzy solid transportation problem. Transportation of liquid bulk chemicals by tankers in the baltic sea.
This is significantly higher than solid about waste densities found in developed countries, but is comparable to those found in other developing countries see table 2. A new approach for solving solid transportation problems hikari. Chapter 7 solid waste management solid waste refers here to all nonliquid wastes. In this paper, a multiobjective solid transportation problem mstp for damageable item is formulated and solved. These areas become childrens sources of contamination due to the incubation and proliferation of flies, mosquitoes, and rodents. In the united states over 180 million tons of municipal solid waste msw was generated in. Solving multiobjective generalized solid transportation. Solid waste management swm is a major problem for many urban local bodies ulbs in india, where urbanization, industrialization and economic growth have resulted in increased municipal solid waste msw generation per person. A solid transportation problem in uncertain environment involving type2 fuzzy variable. Environmental and health impact of solid waste disposal in.
This publication deals with the issues relating to. Bahir dar face, is the problem of sanitation, in general, and solid waste management in particular. A case study of granville brook dumpsite, freetown, sierra leone 666. In this paper, a fully fuzzymulti objective linear fractional programming is applied for multi item solid transportation ffmomistp problem. Those transfer stations give service only to mse workers who collect solid waste from households. Keywords solid transportation problem mixed constraint, fuzzy set, intu itionistic fuzzy set, interval analysis, genetic algorithm.
914 1195 422 623 995 301 1259 62 1051 562 1349 149 618 842 1042 1060 78 899 549 1109 299 604 643 342 218 888 1190 1197 48 705 1282 1328 847 1356 575 994 203 1338 785 144 1146